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December 2015
Geometry-driven Collapses for Converting a Čech Complex into a Triangulation of a Nicely Triangulable Shape
- Dominique Attali,
- André Lieutier
Discrete & Computational Geometry (DCOG), Volume 54, Issue 4Pages 798–825https://doi.org/10.1007/s00454-015-9733-7

Given a set of points that sample a shape, the Rips complex of the points is often used to provide an approximation of the shape easily-computed. It has been proved that the Rips complex captures the homotopy type of the shape, assuming that the ...
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