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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“It is certainly not good for investment,” Smeaton tells me, with the wry understatement common to Scots. “Or for the U.S. consumer. They are paying higher prices.” MorphCostume’s outfits now cost 9% more, after Smeaton’s business was hit by a $3 million duty bill.