The purpose of this software is to compute the Voronoi covariance measure of a point set, a notion introduced for the purpose of geometric inference from point cloud data in the following article

/Voronoi-based curvature and feature estimation from point clouds,/ Quentin Mérigot, Maks Ovsjanikov, and Leonidas Guibas, IEEE Transactions on Visualization and Computer Graphics

You need a decently recent version of CGAL.

cd .. mkdir voronoi_covariance-build cd voronoi_covariance-build ccmake ../voronoi_covariance make

The executable vcm takes as input a 3D point cloud. This is a text file with one line per point, with the three coordinates of the point. The VCM is output as a text file containing 6 floats per line, corresponding to the entries of a 3x3 symmetric matrix. This symmetric is the convolved (r,R)-VCM of the corresponding point in the cloud.

Example: ./vcm --input=fandisk.cloud --R=0.1 --r=0.01 # R is the offset radius, r is the convolution radius