Sciweavers

COMPGEOM
2011
ACM
13 years 3 months ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang
COMPGEOM
2011
ACM
13 years 3 months ago
Minors in random and expanding hypergraphs
We introduce a new notion of minors for simplicial complexes (hypergraphs), so-called homological minors. Our motivation is to propose a general approach to attack certain extrema...
Uli Wagner
COMPGEOM
2011
ACM
13 years 3 months ago
Sphere and dot product representations of graphs
A graph G is a k-sphere graph if there are k-dimensional real vectors v1, . . . , vn such that ij ∈ E(G) if and only if the distance between vi
Ross J. Kang, Tobias Müller
COMPGEOM
2011
ACM
13 years 3 months ago
Ant-sweep: a decentral strategy for cooperative cleaning in expanding domains
Several recent works considered cooperative cleaning in static and dynamic environments, which incorporates a swarm of simple robots cleaning an expanding region of contaminated c...
Thilo Beckmann, Rolf Klein, David Kriesel, Elmar L...
COMPGEOM
2011
ACM
13 years 3 months ago
Integer representations of convex polygon intersection graphs
Abstract. We study the grid size that is needed to represent intersection graphs of convex polygons. Here the polygons are similar to a base polygon P whose corners have rational c...
Tobias Müller, Erik Jan van Leeuwen, Jan van ...
COMPGEOM
2011
ACM
13 years 3 months ago
A generic algebraic kernel for non-linear geometric applications
We report on a generic uni- and bivariate algebraic kernel that is publicly available with Cgal 3.7. It comprises complete, correct, though efficient state-of-the-art implementati...
Eric Berberich, Michael Hemmer, Michael Kerber
COMPGEOM
2011
ACM
13 years 3 months ago
Comparing distributions and shapes using the kernel distance
Starting with a similarity function between objects, it is possible to define a distance metric (the kernel distance) on pairs of objects, and more generally on probability distr...
Sarang C. Joshi, Raj Varma Kommaraju, Jeff M. Phil...
COMPGEOM
2011
ACM
13 years 3 months ago
An output-sensitive algorithm for persistent homology
In this paper, we present the first output-sensitive algorithm to compute the persistence diagram of a filtered simplicial complex. For any Γ > 0, it returns only those homo...
Chao Chen, Michael Kerber
COMPGEOM
2011
ACM
13 years 3 months ago
Deconstructing approximate offsets
We consider the offset-deconstruction problem: Given a polygonal shape Q with n vertices, can it be expressed, up to a tolerance ε in Hausdorff distance, as the Minkowski sum o...
Eric Berberich, Dan Halperin, Michael Kerber, Roza...
COMPGEOM
2011
ACM
13 years 3 months ago
Compressive sensing with local geometric features
We propose a framework for compressive sensing of images with local geometric features. Specifically, let x ∈ RN be an N-pixel image, where each pixel p has value xp. The image...
Rishi Gupta, Piotr Indyk, Eric Price, Yaron Rachli...