topic ArcGIS Pro 2.5: What is the math used in creating Triangulated Irregular Network (TIN)? in ArcGIS Pro Questions https://community.esri.com/t5/arcgis-pro-questions/arcgis-pro-2-5-what-is-the-math-used-in-creating/m-p/455828#M20023 <HTML><HEAD></HEAD><BODY><P style="margin-left: 0in;">ArcGIS Pro 2.5: What is the math used in creating Triangulated Irregular Network (TIN)?</P><P style="margin-left: 0in;"></P><P style="margin-left: 0in;"><IMG alt="" class="jive-emoji image-1 jive-image j-img-original" src="https://community.esri.com/legacyfs/online/497118_Clip_1462.jpg" /></P></BODY></HTML> Thu, 18 Jun 2020 19:13:24 GMT JamalNUMAN 2020-06-18T19:13:24Z ArcGIS Pro 2.5: What is the math used in creating Triangulated Irregular Network (TIN)? https://community.esri.com/t5/arcgis-pro-questions/arcgis-pro-2-5-what-is-the-math-used-in-creating/m-p/455828#M20023 <HTML><HEAD></HEAD><BODY><P style="margin-left: 0in;">ArcGIS Pro 2.5: What is the math used in creating Triangulated Irregular Network (TIN)?</P><P style="margin-left: 0in;"></P><P style="margin-left: 0in;"><IMG alt="" class="jive-emoji image-1 jive-image j-img-original" src="https://community.esri.com/legacyfs/online/497118_Clip_1462.jpg" /></P></BODY></HTML> Thu, 18 Jun 2020 19:13:24 GMT https://community.esri.com/t5/arcgis-pro-questions/arcgis-pro-2-5-what-is-the-math-used-in-creating/m-p/455828#M20023 JamalNUMAN 2020-06-18T19:13:24Z Re: ArcGIS Pro 2.5: What is the math used in creating Triangulated Irregular Network (TIN)? https://community.esri.com/t5/arcgis-pro-questions/arcgis-pro-2-5-what-is-the-math-used-in-creating/m-p/455829#M20024 <HTML><HEAD></HEAD><BODY><P>It isn't that simple.&nbsp; It is a process.</P><P><A class="link-titled" href="https://en.wikipedia.org/wiki/Delaunay_triangulation#:~:text=In%20mathematics%20and%20computational%20geometry,triangle%20in%20DT(P)." title="https://en.wikipedia.org/wiki/Delaunay_triangulation#:~:text=In%20mathematics%20and%20computational%20geometry,triangle%20in%20DT(P).">Delaunay triangulation - Wikipedia</A>&nbsp;</P><P>There are many more descriptive examples on the web if you really want to know the "maths" behind the processes.</P></BODY></HTML> Thu, 18 Jun 2020 20:09:44 GMT https://community.esri.com/t5/arcgis-pro-questions/arcgis-pro-2-5-what-is-the-math-used-in-creating/m-p/455829#M20024 DanPatterson 2020-06-18T20:09:44Z Re: ArcGIS Pro 2.5: What is the math used in creating Triangulated Irregular Network (TIN)? https://community.esri.com/t5/arcgis-pro-questions/arcgis-pro-2-5-what-is-the-math-used-in-creating/m-p/455830#M20025 <HTML><HEAD></HEAD><BODY><P style="margin-left: 0in;">And why it is not simply an interpolation process that can be computed based on the set of known points?</P><P style="margin-left: 0in;"></P><P style="margin-left: 0in;"><IMG alt="" class="jive-emoji image-1 jive-image j-img-original" src="https://community.esri.com/legacyfs/online/497150_Clip_1467.jpg" /></P></BODY></HTML> Thu, 18 Jun 2020 20:44:56 GMT https://community.esri.com/t5/arcgis-pro-questions/arcgis-pro-2-5-what-is-the-math-used-in-creating/m-p/455830#M20025 JamalNUMAN 2020-06-18T20:44:56Z Re: ArcGIS Pro 2.5: What is the math used in creating Triangulated Irregular Network (TIN)? https://community.esri.com/t5/arcgis-pro-questions/arcgis-pro-2-5-what-is-the-math-used-in-creating/m-p/455831#M20026 <HTML><HEAD></HEAD><BODY><P>because you have to fit a circle to 3 points, then ensure that the circle doesn't encompass any other points... then a swapping may be needed to remove thin triangles, .... then ... then....</P><P>As I said, it is a process.&nbsp; If you read some of the references in the link I posted, you will see that it has quite a history and a number of optimization approaches.</P><P></P><P>Most people with use scipy.spatial and the Delaunay therein rather reinventing the wheel.&nbsp; scipy.spatial use the "qhull" package which is pretty standard in the python world.</P><P>There is little point in reinventing the wheel.&nbsp; Efforts can be spent in providing the "constrained" option which qhull doesn't do (my incarnation does) using other arcpy tools&nbsp;</P></BODY></HTML> Thu, 18 Jun 2020 20:51:52 GMT https://community.esri.com/t5/arcgis-pro-questions/arcgis-pro-2-5-what-is-the-math-used-in-creating/m-p/455831#M20026 DanPatterson 2020-06-18T20:51:52Z