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Shape Segmentation and Matching from Noisy Point Clouds
(The Eurographics Association, 2004)
We present the implementation results of a shape segmentation technique and an associated shape matching method whose input is a point sample from the shape. The sample is allowed to be noisy in the sense that they may ...
Bounds on the k-Neighborhood for Locally Uniformly Sampled Surfaces
(The Eurographics Association, 2004)
Given a locally uniform sample set P of a smooth surface S. We derive upper and lower bounds on the number k of nearest neighbors of a sample point p that have to be chosen from P such that this neighborhood contains all ...
Conformal Alpha Shapes
(The Eurographics Association, 2005)
We define a new filtration of the Delaunay triangulation of a finite set of points in Rd, similar to the alpha shape filtration. The new filtration is parameterized by a local scale parameter instead of the global scale ...