A Glimt in the eye: if the plucky Norwegians can do it, why can’t we? | Max Rushden

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While there exist many possible ways to triangulate a set of points, the most common method for TINs is the Delaunay triangulation. This is because Delaunay triangulations tend to produce more regular tessellations that are better suited to interpolation. In theory, we can represent our colour palette as a TIN by computing the 3D Delaunay triangulation of the colours in colour space. The nice thing about this is that it makes finding an enclosing simplex much faster; the candidate selection process is simply a matter of determining the enclosing tetrahedron of an input point within the network using a walking algorithm, and taking the barycentric coordinates as the weights.

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To this end, I have written a small C library for the sole purpose of generating the Delaunay triangulation of a colour palette and using the resulting structure to perform barycentric interpolation as well as natural neighbour interpolation for use in colour image dithering. The library and source code is available for free on Github. I’ve included an additional write up that goes into a bit more detail on the implementation and also provides some performance and quality comparisons against other algorithms. Support would be greatly appreciated!