Dawn on a still morning is a majestic spectacle, as sunlight spills silently across the landscape and the Earth gradually emerges from darkness. Sunrise has inspired countless pieces of music striving to express this soundless experience in audible form. But if we could actually hear the sun, it would be deafening.
We’ve looked at how we can geometrically find the linear combination using barycentric coordinates, but it is not the only way to do so. Natural neighbour interpolation works by observing what happens when an input point is inserted into a set of points represented by a Voronoi diagram. The Voronoi diagram is simply a partition of space into polygonal regions for each data point, such that any point inside a given region is proximal to its corresponding data point.
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