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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 ...
Direct Computing of Surface Curvatures for Point-Set Surfaces
(The Eurographics Association, 2007)
Accurate computing of the curvatures of a surface from its discrete form is of fundamental importance for many graphics and engineering applications. The moving least-squares (MLS) surface from Levin [Lev2003] and its ...
Computing Variation Modes for Point Set Surfaces
(The Eurographics Association, 2005)
Point sets have become a popular shape representation. In this paper, we present a novel approach to computing variation modes for point set surfaces, and represent the point set surface as a linear combination of the ...
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 ...