barycentric extrapolation should not override interpolation #1700
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I have explored a solution here: https://observablehq.com/@observablehq/barycentric-extrapolation-1700 |
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Looks good to me! |
Fil
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Fil
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Fix barycentric extrapolation Note: When points on the hull are collinear, the extrapolation fails in some regions. I've found a way to fix this by reprojecting the points (to make the hull slightly bulge out, which resolves the ties), but in the end it was too much code for a use case that is pretty bad anyway (the delaunay triangulation itself being unstable in that case). This seems to be quite enough. closes #1700 --------- Co-authored-by: Mike Bostock <[email protected]>
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Fix barycentric extrapolation Note: When points on the hull are collinear, the extrapolation fails in some regions. I've found a way to fix this by reprojecting the points (to make the hull slightly bulge out, which resolves the ties), but in the end it was too much code for a use case that is pretty bad anyway (the delaunay triangulation itself being unstable in that case). This seems to be quite enough. closes #1700 --------- Co-authored-by: Mike Bostock <[email protected]>
chaichontat
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Fix barycentric extrapolation Note: When points on the hull are collinear, the extrapolation fails in some regions. I've found a way to fix this by reprojecting the points (to make the hull slightly bulge out, which resolves the ties), but in the end it was too much code for a use case that is pretty bad anyway (the delaunay triangulation itself being unstable in that case). This seems to be quite enough. closes observablehq#1700 --------- Co-authored-by: Mike Bostock <[email protected]>
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I have made a mistake when designing the “extrapolation” part of the barycentric interpolator. Adding points to the frame can create huge distortions when the frame doesn't include all data points—for example when we zoom in on a region.
If we think that points that live inside the convex hull should be governed by the normal triangulation (as I do now), we have to rethink how extrapolation works.
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