NAR
2007
13 years 11 months ago
2007
The GeneTrees phylogenomics system pursues comparative genomic analyses from the perspective of gene phylogenies for individual genes. The GeneTrees project has the goal of provid...
EJC
2002
13 years 11 months ago
2002
Given a Newtonian coalgebra we associate to it a chain complex. The homology groups of this Newtonian chain complex are computed for two important Newtonian coalgebras arising in ...
CORR
2010
Springer
13 years 11 months ago
2010
Springer
Abstract. Persistent Topology studies topological features of shapes by analyzing the lower level sets of suitable functions, called filtering functions, and encoding the arising i...
ACS
2007
13 years 11 months ago
2007
Directed Algebraic Topology is a recent field, deeply linked with Category Theory. A ‘directed space’ has directed homotopies (generally non reversible), directed homology gro...
COMPGEOM
2010
ACM
14 years 4 months ago
2010
ACM
Inference of topological and geometric attributes of a hidden manifold from its point data is a fundamental problem arising in many scientific studies and engineering application...
GBRPR
2007
Springer
14 years 5 months ago
2007
Springer
We introduce a method for computing homology groups and their generators of a 2D image, using a hierarchical structure i.e. irregular graph pyramid. Starting from an image, a hiera...
ICPR
2008
IEEE
14 years 6 months ago
2008
IEEE
In this paper, we design linear time algorithms to recognize and determine topological invariants such as genus and homology groups in 3D. These invariants can be used to identify...
COMPGEOM
2009
ACM
14 years 6 months ago
2009
ACM
We study the problem of computing zigzag persistence of a sequence of homology groups and study a particular sequence derived from the levelsets of a real-valued function on a top...
CCA
2009
Springer
14 years 6 months ago
2009
Springer
In this note we discuss the information needed to compute the homology groups of a topological space. We argue that the natural class of spaces to consider are the compact absolut...