Computation of homology groups and generators
Jan 1, 2005·,,
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0 min read
S. Peltier
S. Alayrangues
L. Fuchs
Jacques-Olivier Lachaud
Abstract
Topological invariants are extremely useful in many applications related to digital imaging and geometric modelling, and homology is a classical one. We present an algorithm that computes the whole homology of an object of arbitrary dimension: Betti numbers, torsion coefficients and generators. Results on classical shapes in algebraic topology are presented and discussed.
Type
Publication
Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2005), Poitiers, France, volume 3429 of Lecture Notes in Computer Science, pp 195–205, 2005. Springer
Digital Topology
Combinatorial Topology
Topological Invariants
Homology Computation
Homology Generators
Smith Normal Form
Simplicial Homology
ND
Authors
Professor of Computer Science
My research interests include digital geometry, geometry processing, image analysis, variational models and discrete calculus.