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Linear Curve Approximation

Given a polygonal curve consisting of N breakpoints, we may want to approximate the curve with minimal error (subject to a chosen metric) using only K breakpoints. This has important applications in cartography, computer graphics, image processing and mathematical programming.
This problem can be modeled as a constrained shortest path problem and thus be solved using the CNOP package.
Coastline of Corsica (800 points)


Minimum Error (summing vertical excess) Approximation using 200 points

 

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