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.
The A Wall:* Calculating a 200-300km car route (or even shorter bicycle/pedestrian paths) could mean visiting over a million road segments, taking 10-20 seconds. For longer trips, this wait could become frustrating.
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