729 search results - page 7 / 146 » Computing persistent homology |
HYBRID
2005
Springer
15 years 3 months ago
2005
Springer
By transferring the theory of hybrid systems to a categorical framework, it is possible to develop a homology theory for hybrid systems: hybrid homology. This is achieved by consid...
FOCM
2011
14 years 1 months ago
2011
By definition, transverse intersections are stable under infinitesimal perturbations. Using persistent homology, we extend this notion to a measure. Given a space of perturbatio...
SODA
2008
ACM
14 years 11 months ago
2008
ACM
We introduce a new feature size for bounded domains in the plane endowed with an intrinsic metric. Given a point x in a domain X, the homotopy feature size of X at x measures half...
ISSAC
2009
Springer
15 years 4 months ago
2009
Springer
In this paper we report on an experience communicating two computer algebra systems, namely GAP (and more concretely, its HAP package to compute in Homological Algebra) and Kenzo ...
CORR
2008
Springer
14 years 9 months ago
2008
Springer
We develop a method for measuring homology classes. This involves three problems. First, we define the size of a homology class, using ideas from relative homology. Second, we defi...