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Tutorial Weak Convex Decomposition by Lines-of-sight
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Weak Convex Decomposition by Lines-of-sight 04-09-2017 11:51
Hello guys,

We define the convexity rank of a set of points to be a part of mutually visible pairs of points out of the total number of pairs. Based on this definition of weak convexity, we introduce a spectral method that decomposes a given shape into weakly convex regions. The decomposition is applied without explicitly measuring the convexity rank. The method conveys amounts to a spectral clustering of a matrix representing the all-pairs line of sight. Our method can be directly applied on an anonymous point cloud and does not require topological information, nor explicit concavity or convexity measures. We demonstrate the efficiency of our algorithm on a large number of examples and compare them qualitatively with competitive approaches.


I did not find the right solution from the internet.

- http://onlinelibrary.wiley.com/doi/10.11...12169/full
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