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» Vietoris-Rips Complexes of Planar Point Sets
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DCG
2010
104views more  DCG 2010»
14 years 7 months ago
Vietoris-Rips Complexes of Planar Point Sets
Fix a finite set of points in Euclidean n-space En , thought of as a point-cloud sampling of a certain domain D En . The VietorisRips complex is a combinatorial simplicial complex...
Erin W. Chambers, Vin de Silva, Jeff Erickson, Rob...
COMPGEOM
2004
ACM
15 years 3 months ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir
GC
2007
Springer
14 years 10 months ago
Decompositions, Partitions, and Coverings with Convex Polygons and Pseudo-Triangles
We propose a novel subdivision of the plane that consists of both convex polygons and pseudotriangles. This pseudo-convex decomposition is significantly sparser than either conve...
Oswin Aichholzer, Clemens Huemer, S. Kappes, Betti...
SODA
2000
ACM
99views Algorithms» more  SODA 2000»
14 years 11 months ago
A point-placement strategy for conforming Delaunay tetrahedralization
A strategy is presented to find a set of points which yields a Conforming Delaunay tetrahedralization of a three-dimensional Piecewise-Linear Complex (PLC). This algorithm is nove...
Michael Murphy, David M. Mount, Carl W. Gable
CVPR
2005
IEEE
16 years 10 days ago
Segmentation of a Piece-Wise Planar Scene from Perspective Images
We study and compare two novel embedding methods for segmenting feature points of piece-wise planar structures from two (uncalibrated) perspective images. We show that a set of di...
Allen Y. Yang, Shankar Rao, Andrew Wagner, Yi Ma