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...
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...
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...
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...
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...