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» On the Topology of Discrete Strategies
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DGCI
1999
Springer
14 years 1 months ago
Directional 3D Thinning Using 8 Subiterations
Thinning of a binary object is an iterative layer by layer erosion to extract an approximation to its skeleton. In order to provide topology preservation, different thinning techn...
Kálmán Palágyi, Attila Kuba
COMPGEOM
2008
ACM
13 years 11 months ago
Predicates for line transversals to lines and line segments in three-dimensional space
When an observer is in a 3D scene, a topological change in the view arises when the line of sight is tangent to four objects. If we consider polyhedral scenes, the relevant lines ...
Olivier Devillers, Marc Glisse, Sylvain Lazard
COMPGEOM
2008
ACM
13 years 11 months ago
Visualizing and exploring planar algebraic arrangements: a web application
A web application is presented to compute, plot, and interactively explore planar arrangements induced by algebraic plane curves of arbitrary degree. It produces accurate curve pl...
Pavel Emeliyanenko, Michael Kerber
DCG
2011
13 years 4 months ago
Random Geometric Complexes
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
Matthew Kahle
EMMCVPR
2003
Springer
14 years 2 months ago
Surface Recovery from 3D Point Data Using a Combined Parametric and Geometric Flow Approach
This paper presents a novel method for surface recovery from discrete 3D point data sets. In order to produce improved reconstruction results, the algorithm presented in this paper...
Peter Savadjiev, Frank P. Ferrie, Kaleem Siddiqi