topic Surfaces and Interpolation! in ArcGIS Data Reviewer Questions

topic Surfaces and Interpolation! in ArcGIS Data Reviewer Questions https://community.esri.com/t5/arcgis-data-reviewer-questions/surfaces-and-interpolation/m-p/637872#M913 <HTML><HEAD></HEAD><BODY><P style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$10"><A class="rc-Phrase highlighted" data-cue="10" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$10.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In this lecture, you'll learn how those are made.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$10.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$11"><A class="rc-Phrase highlighted" data-cue="11" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$11.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">And I'll introduce a new data format that handles it.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$11.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$12"><A class="rc-Phrase highlighted" data-cue="12" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$12.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">While some rasters are created using sensors,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$12.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$13"><A class="rc-Phrase highlighted" data-cue="13" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$13.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">like cameras that sense continuously across an area, others are created from</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$13.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$14"><A class="rc-Phrase highlighted" data-cue="14" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$14.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">discrete observations, such as those taken at GPS points.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$14.1"> </SPAN></SPAN></SPAN></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">0:48</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$15"><A class="rc-Phrase highlighted" data-cue="15" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$15.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">If I have a handful of point observations, let's say of elevation, to keep it simple,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$15.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$16"><A class="rc-Phrase highlighted" data-cue="16" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$16.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">I, as a human, might be able to guess values that I didn't capture in my data.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$16.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$17"><A class="rc-Phrase highlighted" data-cue="17" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$17.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">If I have three points arranged approximately in a triangle,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$17.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$18"><A class="rc-Phrase highlighted" data-cue="18" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$18.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">where we captured elevation values and one's value is 10m, the other is 9m,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$18.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$19"><A class="rc-Phrase highlighted" data-cue="19" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$19.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">and the other is 6m.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$19.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$20"><A class="rc-Phrase highlighted" data-cue="20" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$20.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">I can guess that the value in the middle of the triangle is somewhere around 7-8m.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$20.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$21"><A class="rc-Phrase highlighted" data-cue="21" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$21.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">If we want to be more precise, or perform this process with a larger sampling of</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$21.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$22"><A class="rc-Phrase highlighted" data-cue="22" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$22.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">points across a landscape, then we need to perform what's called interpolation.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$22.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">1:23</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$23"><A class="rc-Phrase highlighted" data-cue="23" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$23.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">For those of you who've worked with photography and image manipulation on</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$23.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$24"><A class="rc-Phrase highlighted" data-cue="24" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$24.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">computers before, interpolation might be a familiar word to you.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$24.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$25"><A class="rc-Phrase highlighted" data-cue="25" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$25.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">It is the process inferring additional information where you don't have any.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$25.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$26"><A class="rc-Phrase highlighted" data-cue="26" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$26.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">With photos,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$26.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$27"><A class="rc-Phrase highlighted" data-cue="27" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$27.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">this comes if you try to increase the resolution on a photo in software.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$27.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$28"><A class="rc-Phrase highlighted" data-cue="28" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$28.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">There isn't any additional information, but we can try to add some,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$28.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$29"><A class="rc-Phrase highlighted" data-cue="29" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$29.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">based on what is already there.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$29.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$30"><A class="rc-Phrase highlighted" data-cue="30" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$30.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">It's not new factual information, but a guess instead.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$30.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$31"><A class="rc-Phrase highlighted" data-cue="31" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$31.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">This process applies to rasters too, since photos are a type of raster data, and</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$31.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$32"><A class="rc-Phrase highlighted" data-cue="32" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$32.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">resampling is just the type of interpolation.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$32.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">1:56</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$33"><A class="rc-Phrase highlighted" data-cue="33" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$33.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">As I said before, we're not truly creating new data.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$33.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$34"><A class="rc-Phrase highlighted" data-cue="34" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$34.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">I can't just make up new data, however good an algorithm I have.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$34.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$35"><A class="rc-Phrase highlighted" data-cue="35" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$35.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">But I can make new predictions.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$35.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$36"><A class="rc-Phrase highlighted" data-cue="36" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$36.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">That's what interpolation's good at.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$36.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$37"><A class="rc-Phrase highlighted" data-cue="37" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$37.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">That may seem like semantics, but it does matter.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$37.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$38"><A class="rc-Phrase highlighted" data-cue="38" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$38.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Remember the lessons from the previous course on sources of error.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$38.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$39"><A class="rc-Phrase highlighted" data-cue="39" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$39.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">This is one of those times where we're inserting a not completely known amount of</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$39.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$40"><A class="rc-Phrase highlighted" data-cue="40" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$40.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">error into our data.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$40.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$41"><A class="rc-Phrase highlighted" data-cue="41" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$41.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">But it's still useful to do anyway, because it allows us to look at</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$41.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$42"><A class="rc-Phrase highlighted" data-cue="42" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$42.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">the complete picture, rather than just the pieces we were able to collect data on.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$42.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">2:27</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$43"><A class="rc-Phrase highlighted" data-cue="43" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$43.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In our elevation example, it's the difference between having a few surveyed</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$43.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$44"><A class="rc-Phrase highlighted" data-cue="44" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$44.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">locations and having a terrain model capable of simulating solar influx,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$44.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$45"><A class="rc-Phrase highlighted" data-cue="45" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$45.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">water flow, suitability for human needs, slope, and more.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$45.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">2:39</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$46"><A class="rc-Phrase highlighted" data-cue="46" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$46.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">To interpolate,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$46.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$47"><A class="rc-Phrase highlighted" data-cue="47" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$47.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">we need to specify an attribute to build our interpolated data source on.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$47.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$48"><A class="rc-Phrase highlighted" data-cue="48" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$48.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">We can think of this almost like a Z value.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$48.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$49"><A class="rc-Phrase highlighted" data-cue="49" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$49.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">If the location of our points specifies the X and</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$49.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$50"><A class="rc-Phrase highlighted" data-cue="50" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$50.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Y locations, this attribute becomes our Z value or height that makes it 3D.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$50.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">2:56</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$51"><A class="rc-Phrase highlighted" data-cue="51" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$51.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In your minds, you can take those points and extrude them so</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$51.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$52"><A class="rc-Phrase highlighted" data-cue="52" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$52.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">that their height matches the value.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$52.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$53"><A class="rc-Phrase highlighted" data-cue="53" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$53.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">With terrain data, this makes sense, since that attribute truly is a height value,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$53.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$54"><A class="rc-Phrase highlighted" data-cue="54" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$54.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">but we can do it with other sensors.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$54.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$55"><A class="rc-Phrase highlighted" data-cue="55" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$55.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Maybe it's the number of people living at a location, or the amount of a toxic</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$55.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$56"><A class="rc-Phrase highlighted" data-cue="56" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$56.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">material measured there, or stations used in air quality monitoring.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$56.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">3:15</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$57"><A class="rc-Phrase highlighted" data-cue="57" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$57.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">If we conceptualize those values as heights, we can then build the surface or</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$57.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$58"><A class="rc-Phrase active highlighted" data-cue="58" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$58.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">raster that connects them.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$58.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$59"><A class="rc-Phrase highlighted" data-cue="59" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$59.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Just like GIS isn't one technology though,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$59.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$60"><A class="rc-Phrase highlighted" data-cue="60" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$60.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">interpolation isn't one single tool or method.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$60.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$61"><A class="rc-Phrase highlighted" data-cue="61" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$61.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">There are many different ways to develop that surface between our points, or</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$61.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$62"><A class="rc-Phrase highlighted" data-cue="62" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$62.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">in other words, to interpolate our data to develop a raster from points.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$62.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$63"><A class="rc-Phrase highlighted" data-cue="63" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$63.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">One that's easy to conceptualize is the TIN, which stands for</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$63.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$64"><A class="rc-Phrase highlighted" data-cue="64" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$64.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">triangular irregular network.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$64.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$65"><A class="rc-Phrase highlighted" data-cue="65" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$65.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">We'll cover TINs in more depth in the rest of this lesson.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$65.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$66"><A class="rc-Phrase highlighted" data-cue="66" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$66.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">But for now, think of drawing a line or</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$66.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$67"><A class="rc-Phrase highlighted" data-cue="67" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$67.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">an edge that connects each point to all of its neighbors.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$67.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$68"><A class="rc-Phrase highlighted" data-cue="68" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$68.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In the process, we get triangular surfaces in between the points.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$68.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$69"><A class="rc-Phrase highlighted" data-cue="69" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$69.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">These surfaces have area, slope and direction associated with them.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$69.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$70"><A class="rc-Phrase highlighted" data-cue="70" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$70.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">One of these triangles exists between each set of neighboring points,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$70.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$71"><A class="rc-Phrase highlighted" data-cue="71" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$71.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">which is where the name triangular irregular network comes from.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$71.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$72"><A class="rc-Phrase highlighted" data-cue="72" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$72.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">It's a network, or set of connected edges, that forms triangles, but</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$72.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$73"><A class="rc-Phrase highlighted" data-cue="73" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$73.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">without a defined pattern that lays out where each triangle is, it's irregular.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$73.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$74"><A class="rc-Phrase highlighted" data-cue="74" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$74.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Once we create that network and associate its surfaces,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$74.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$75"><A class="rc-Phrase highlighted" data-cue="75" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$75.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">if we want to infer the unknown value of a location from the values we have, we can</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$75.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$76"><A class="rc-Phrase highlighted" data-cue="76" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$76.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">just find the height of the surface at the X and Y coordinates we're interested in.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$76.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">4:27</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$77"><A class="rc-Phrase highlighted" data-cue="77" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$77.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Now, the TIN is an inherently three-dimensional structure.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$77.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$78"><A class="rc-Phrase highlighted" data-cue="78" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$78.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Some of you might be familiar with similar structures from 3D graphics or sculpture.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$78.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$79"><A class="rc-Phrase highlighted" data-cue="79" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$79.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Well, rasters are sort of a 2.5 dimensional surface.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$79.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$80"><A class="rc-Phrase highlighted" data-cue="80" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$80.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">The exist in two dimensions but</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$80.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$81"><A class="rc-Phrase highlighted" data-cue="81" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$81.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">the values at each location represent the third dimension.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$81.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$82"><A class="rc-Phrase highlighted" data-cue="82" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$82.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">We might think of TINs as a separate data type, akin to rasters and</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$82.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$83"><A class="rc-Phrase highlighted" data-cue="83" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$83.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">features, but mostly they aren't.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$83.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$84"><A class="rc-Phrase highlighted" data-cue="84" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$84.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">We often use TINs for 3D rendering,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$84.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$85"><A class="rc-Phrase highlighted" data-cue="85" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$85.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">but in interpolation they're mostly an analysis tool we use to generate a raster.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$85.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$86"><A class="rc-Phrase highlighted" data-cue="86" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$86.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">So when we're done generating the TIN,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$86.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$87"><A class="rc-Phrase highlighted" data-cue="87" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$87.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">we can run a tool to turn the TIN into a new raster.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$87.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$88"><A class="rc-Phrase highlighted" data-cue="88" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$88.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Completing the interpolation process of going from points with values</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$88.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$89"><A class="rc-Phrase highlighted" data-cue="89" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$89.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">to a continuous inferred surface of observations</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$89.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$90"><A class="rc-Phrase highlighted" data-cue="90" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$90.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">that we can use to do a full landscape analysis of a variable of interest.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$90.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$91"><A class="rc-Phrase highlighted" data-cue="91" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$91.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Maybe in the example of air quality monitoring stations, we want to know what</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$91.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$92"><A class="rc-Phrase highlighted" data-cue="92" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$92.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">each neighborhood's potential exposure to pollutants from cars is.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$92.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$93"><A class="rc-Phrase highlighted" data-cue="93" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$93.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">This method allows us to turn air quality measurements that</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$93.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$94"><A class="rc-Phrase highlighted" data-cue="94" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$94.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">aren't in those neighborhoods into a data source we can use for that analysis.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$94.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$95"><A class="rc-Phrase highlighted" data-cue="95" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$95.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">As I said before, there are other methods to interpolation but</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$95.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$96"><A class="rc-Phrase highlighted" data-cue="96" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$96.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">we'll stick to the TIN for now to not make this more confusing.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$96.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$97"><A class="rc-Phrase highlighted" data-cue="97" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$97.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">That's it for this lecture.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$97.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$98"><A class="rc-Phrase highlighted" data-cue="98" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$98.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In this lecture, you learned what interpolation is and</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$98.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$99"><A class="rc-Phrase highlighted" data-cue="99" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$99.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">then how we can conceptually create TINs in order to perform that interpolation.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$99.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$100"><A class="rc-Phrase highlighted" data-cue="100" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$100.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In the rest of this lesson, we'll pick it up from here and</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$100.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$101"><A class="rc-Phrase highlighted" data-cue="101" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$101.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">discuss the mechanics of TINs.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$101.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$102"><A class="rc-Phrase highlighted" data-cue="102" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$102.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">See you there.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$102.1"> <BR /></SPAN></SPAN></SPAN></DIV></BODY></HTML> Tue, 09 Aug 2016 18:54:17 GMT MOHAMED_ABDALLAALKAMEL_ABASS1 2016-08-09T18:54:17Z Surfaces and Interpolation! https://community.esri.com/t5/arcgis-data-reviewer-questions/surfaces-and-interpolation/m-p/637872#M913 <HTML><HEAD></HEAD><BODY><P style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$10"><A class="rc-Phrase highlighted" data-cue="10" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$10.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In this lecture, you'll learn how those are made.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$10.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$11"><A class="rc-Phrase highlighted" data-cue="11" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$11.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">And I'll introduce a new data format that handles it.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$11.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$12"><A class="rc-Phrase highlighted" data-cue="12" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$12.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">While some rasters are created using sensors,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$12.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$13"><A class="rc-Phrase highlighted" data-cue="13" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$13.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">like cameras that sense continuously across an area, others are created from</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$13.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$14"><A class="rc-Phrase highlighted" data-cue="14" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$14.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">discrete observations, such as those taken at GPS points.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$1.1:$14.1"> </SPAN></SPAN></SPAN></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">0:48</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$15"><A class="rc-Phrase highlighted" data-cue="15" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$15.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">If I have a handful of point observations, let's say of elevation, to keep it simple,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$15.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$16"><A class="rc-Phrase highlighted" data-cue="16" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$16.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">I, as a human, might be able to guess values that I didn't capture in my data.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$16.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$17"><A class="rc-Phrase highlighted" data-cue="17" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$17.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">If I have three points arranged approximately in a triangle,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$17.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$18"><A class="rc-Phrase highlighted" data-cue="18" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$18.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">where we captured elevation values and one's value is 10m, the other is 9m,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$18.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$19"><A class="rc-Phrase highlighted" data-cue="19" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$19.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">and the other is 6m.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$19.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$20"><A class="rc-Phrase highlighted" data-cue="20" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$20.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">I can guess that the value in the middle of the triangle is somewhere around 7-8m.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$20.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$21"><A class="rc-Phrase highlighted" data-cue="21" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$21.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">If we want to be more precise, or perform this process with a larger sampling of</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$21.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$22"><A class="rc-Phrase highlighted" data-cue="22" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$22.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">points across a landscape, then we need to perform what's called interpolation.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$2.1:$22.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">1:23</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$23"><A class="rc-Phrase highlighted" data-cue="23" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$23.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">For those of you who've worked with photography and image manipulation on</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$23.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$24"><A class="rc-Phrase highlighted" data-cue="24" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$24.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">computers before, interpolation might be a familiar word to you.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$24.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$25"><A class="rc-Phrase highlighted" data-cue="25" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$25.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">It is the process inferring additional information where you don't have any.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$25.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$26"><A class="rc-Phrase highlighted" data-cue="26" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$26.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">With photos,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$26.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$27"><A class="rc-Phrase highlighted" data-cue="27" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$27.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">this comes if you try to increase the resolution on a photo in software.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$27.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$28"><A class="rc-Phrase highlighted" data-cue="28" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$28.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">There isn't any additional information, but we can try to add some,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$28.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$29"><A class="rc-Phrase highlighted" data-cue="29" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$29.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">based on what is already there.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$29.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$30"><A class="rc-Phrase highlighted" data-cue="30" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$30.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">It's not new factual information, but a guess instead.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$30.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$31"><A class="rc-Phrase highlighted" data-cue="31" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$31.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">This process applies to rasters too, since photos are a type of raster data, and</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$31.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$32"><A class="rc-Phrase highlighted" data-cue="32" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$32.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">resampling is just the type of interpolation.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$3.1:$32.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">1:56</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$33"><A class="rc-Phrase highlighted" data-cue="33" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$33.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">As I said before, we're not truly creating new data.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$33.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$34"><A class="rc-Phrase highlighted" data-cue="34" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$34.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">I can't just make up new data, however good an algorithm I have.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$34.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$35"><A class="rc-Phrase highlighted" data-cue="35" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$35.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">But I can make new predictions.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$35.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$36"><A class="rc-Phrase highlighted" data-cue="36" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$36.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">That's what interpolation's good at.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$36.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$37"><A class="rc-Phrase highlighted" data-cue="37" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$37.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">That may seem like semantics, but it does matter.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$37.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$38"><A class="rc-Phrase highlighted" data-cue="38" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$38.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Remember the lessons from the previous course on sources of error.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$38.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$39"><A class="rc-Phrase highlighted" data-cue="39" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$39.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">This is one of those times where we're inserting a not completely known amount of</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$39.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$40"><A class="rc-Phrase highlighted" data-cue="40" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$40.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">error into our data.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$40.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$41"><A class="rc-Phrase highlighted" data-cue="41" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$41.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">But it's still useful to do anyway, because it allows us to look at</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$41.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$42"><A class="rc-Phrase highlighted" data-cue="42" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$42.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">the complete picture, rather than just the pieces we were able to collect data on.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$4.1:$42.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">2:27</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$43"><A class="rc-Phrase highlighted" data-cue="43" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$43.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In our elevation example, it's the difference between having a few surveyed</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$43.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$44"><A class="rc-Phrase highlighted" data-cue="44" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$44.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">locations and having a terrain model capable of simulating solar influx,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$44.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$45"><A class="rc-Phrase highlighted" data-cue="45" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$45.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">water flow, suitability for human needs, slope, and more.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$5.1:$45.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">2:39</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$46"><A class="rc-Phrase highlighted" data-cue="46" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$46.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">To interpolate,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$46.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$47"><A class="rc-Phrase highlighted" data-cue="47" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$47.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">we need to specify an attribute to build our interpolated data source on.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$47.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$48"><A class="rc-Phrase highlighted" data-cue="48" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$48.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">We can think of this almost like a Z value.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$48.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$49"><A class="rc-Phrase highlighted" data-cue="49" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$49.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">If the location of our points specifies the X and</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$49.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$50"><A class="rc-Phrase highlighted" data-cue="50" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$50.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Y locations, this attribute becomes our Z value or height that makes it 3D.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$6.1:$50.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">2:56</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$51"><A class="rc-Phrase highlighted" data-cue="51" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$51.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In your minds, you can take those points and extrude them so</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$51.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$52"><A class="rc-Phrase highlighted" data-cue="52" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$52.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">that their height matches the value.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$52.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$53"><A class="rc-Phrase highlighted" data-cue="53" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$53.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">With terrain data, this makes sense, since that attribute truly is a height value,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$53.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$54"><A class="rc-Phrase highlighted" data-cue="54" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$54.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">but we can do it with other sensors.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$54.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$55"><A class="rc-Phrase highlighted" data-cue="55" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$55.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Maybe it's the number of people living at a location, or the amount of a toxic</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$55.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$56"><A class="rc-Phrase highlighted" data-cue="56" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$56.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">material measured there, or stations used in air quality monitoring.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$7.1:$56.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">3:15</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$57"><A class="rc-Phrase highlighted" data-cue="57" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$57.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">If we conceptualize those values as heights, we can then build the surface or</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$57.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$58"><A class="rc-Phrase active highlighted" data-cue="58" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$58.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">raster that connects them.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$58.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$59"><A class="rc-Phrase highlighted" data-cue="59" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$59.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Just like GIS isn't one technology though,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$59.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$60"><A class="rc-Phrase highlighted" data-cue="60" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$60.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">interpolation isn't one single tool or method.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$60.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$61"><A class="rc-Phrase highlighted" data-cue="61" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$61.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">There are many different ways to develop that surface between our points, or</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$61.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$62"><A class="rc-Phrase highlighted" data-cue="62" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$62.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">in other words, to interpolate our data to develop a raster from points.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$62.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$63"><A class="rc-Phrase highlighted" data-cue="63" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$63.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">One that's easy to conceptualize is the TIN, which stands for</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$63.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$64"><A class="rc-Phrase highlighted" data-cue="64" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$64.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">triangular irregular network.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$64.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$65"><A class="rc-Phrase highlighted" data-cue="65" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$65.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">We'll cover TINs in more depth in the rest of this lesson.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$65.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$66"><A class="rc-Phrase highlighted" data-cue="66" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$66.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">But for now, think of drawing a line or</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$66.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$67"><A class="rc-Phrase highlighted" data-cue="67" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$67.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">an edge that connects each point to all of its neighbors.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$67.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$68"><A class="rc-Phrase highlighted" data-cue="68" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$68.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In the process, we get triangular surfaces in between the points.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$68.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$69"><A class="rc-Phrase highlighted" data-cue="69" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$69.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">These surfaces have area, slope and direction associated with them.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$69.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$70"><A class="rc-Phrase highlighted" data-cue="70" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$70.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">One of these triangles exists between each set of neighboring points,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$70.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$71"><A class="rc-Phrase highlighted" data-cue="71" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$71.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">which is where the name triangular irregular network comes from.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$71.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$72"><A class="rc-Phrase highlighted" data-cue="72" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$72.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">It's a network, or set of connected edges, that forms triangles, but</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$72.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$73"><A class="rc-Phrase highlighted" data-cue="73" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$73.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">without a defined pattern that lays out where each triangle is, it's irregular.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$73.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$74"><A class="rc-Phrase highlighted" data-cue="74" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$74.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Once we create that network and associate its surfaces,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$74.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$75"><A class="rc-Phrase highlighted" data-cue="75" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$75.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">if we want to infer the unknown value of a location from the values we have, we can</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$75.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$76"><A class="rc-Phrase highlighted" data-cue="76" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$76.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">just find the height of the surface at the X and Y coordinates we're interested in.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$8.1:$76.1"> </SPAN></SPAN></SPAN></DIV><P class="paragraph" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9" style="text-align: justify;"></P><DIV class="timestamp" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.0" style="text-align: justify;"><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><A data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.0.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">4:27</SPAN></A></SPAN><P></P><SPAN style="color: #e23d39; font-size: 14pt; font-family: georgia,palatino;"><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$77"><A class="rc-Phrase highlighted" data-cue="77" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$77.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Now, the TIN is an inherently three-dimensional structure.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$77.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$78"><A class="rc-Phrase highlighted" data-cue="78" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$78.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Some of you might be familiar with similar structures from 3D graphics or sculpture.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$78.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$79"><A class="rc-Phrase highlighted" data-cue="79" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$79.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Well, rasters are sort of a 2.5 dimensional surface.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$79.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$80"><A class="rc-Phrase highlighted" data-cue="80" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$80.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">The exist in two dimensions but</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$80.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$81"><A class="rc-Phrase highlighted" data-cue="81" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$81.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">the values at each location represent the third dimension.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$81.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$82"><A class="rc-Phrase highlighted" data-cue="82" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$82.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">We might think of TINs as a separate data type, akin to rasters and</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$82.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$83"><A class="rc-Phrase highlighted" data-cue="83" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$83.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">features, but mostly they aren't.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$83.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$84"><A class="rc-Phrase highlighted" data-cue="84" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$84.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">We often use TINs for 3D rendering,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$84.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$85"><A class="rc-Phrase highlighted" data-cue="85" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$85.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">but in interpolation they're mostly an analysis tool we use to generate a raster.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$85.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$86"><A class="rc-Phrase highlighted" data-cue="86" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$86.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">So when we're done generating the TIN,</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$86.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$87"><A class="rc-Phrase highlighted" data-cue="87" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$87.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">we can run a tool to turn the TIN into a new raster.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$87.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$88"><A class="rc-Phrase highlighted" data-cue="88" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$88.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Completing the interpolation process of going from points with values</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$88.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$89"><A class="rc-Phrase highlighted" data-cue="89" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$89.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">to a continuous inferred surface of observations</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$89.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$90"><A class="rc-Phrase highlighted" data-cue="90" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$90.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">that we can use to do a full landscape analysis of a variable of interest.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$90.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$91"><A class="rc-Phrase highlighted" data-cue="91" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$91.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">Maybe in the example of air quality monitoring stations, we want to know what</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$91.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$92"><A class="rc-Phrase highlighted" data-cue="92" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$92.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">each neighborhood's potential exposure to pollutants from cars is.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$92.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$93"><A class="rc-Phrase highlighted" data-cue="93" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$93.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">This method allows us to turn air quality measurements that</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$93.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$94"><A class="rc-Phrase highlighted" data-cue="94" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$94.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">aren't in those neighborhoods into a data source we can use for that analysis.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$94.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$95"><A class="rc-Phrase highlighted" data-cue="95" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$95.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">As I said before, there are other methods to interpolation but</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$95.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$96"><A class="rc-Phrase highlighted" data-cue="96" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$96.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">we'll stick to the TIN for now to not make this more confusing.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$96.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$97"><A class="rc-Phrase highlighted" data-cue="97" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$97.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">That's it for this lecture.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$97.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$98"><A class="rc-Phrase highlighted" data-cue="98" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$98.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In this lecture, you learned what interpolation is and</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$98.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$99"><A class="rc-Phrase highlighted" data-cue="99" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$99.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">then how we can conceptually create TINs in order to perform that interpolation.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$99.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$100"><A class="rc-Phrase highlighted" data-cue="100" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$100.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">In the rest of this lesson, we'll pick it up from here and</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$100.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$101"><A class="rc-Phrase highlighted" data-cue="101" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$101.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">discuss the mechanics of TINs.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$101.1"> </SPAN></SPAN><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$102"><A class="rc-Phrase highlighted" data-cue="102" data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$102.0" href="https://www.coursera.org/learn/spatial-analysis/lecture/pffkC/surfaces-and-interpolation"><SPAN style="color: #e23d39;">See you there.</SPAN></A><SPAN data-reactid=".0.1.0.0.1.$pffkC.0.0.2.1.1.1.0.1.0.0.2.0.$9.1:$102.1"> <BR /></SPAN></SPAN></SPAN></DIV></BODY></HTML> Tue, 09 Aug 2016 18:54:17 GMT https://community.esri.com/t5/arcgis-data-reviewer-questions/surfaces-and-interpolation/m-p/637872#M913 MOHAMED_ABDALLAALKAMEL_ABASS1 2016-08-09T18:54:17Z