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Some questions about interpolation

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02-21-2012 09:08 PM
hadrienpicq
New Contributor
Hi,

what is the fundamental difference between TINs (Delaunay's triangulation) and the Voronoi Diagram (Thiessen Polygon)? In which circumstances would I want to use one over the other? I know that the TIN uses circles that go through the 3 nodes of a triangle as long as it contain no other node, and that it is best used in interpolating the elevation at any point on the surface. Whereas the Voronoi are the bisectors of a straight line between 2 neighboring points, and that it seems best for interpolating discrete data. I think a better way to phrase my question is: If I used both interpolation techniques on the same area, what would be the fundamental difference?

I guess I have the same question about krigging, IDW, and spline interpolation; in which circumstances would they be most logically applied?

Thank you.
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