10 search results - page 1 / 2 » Parameterized Complexity of Discrete Morse Theory |
COMPGEOM
2001
ACM
13 years 8 months ago
2001
ACM
We present algorithms for constructing a hierarchy of increasingly coarse Morse complexes that decompose a piecewise linear 2-manifold. While Morse complexes are defined only in t...
TVCG
2012
11 years 7 months ago
2012
—The Morse-Smale complex is a useful topological data structure for the analysis and visualization of scalar data. This paper describes an algorithm that processes all mesh eleme...
COMPGEOM
2003
ACM
13 years 10 months ago
2003
ACM
We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its ...
CGF
2008
13 years 5 months ago
2008
We present an approach for extracting extremal feature lines of scalar indicators on surface meshes, based on discrete Morse Theory. By computing initial Morse-Smale complexes of ...
DM
2007
13 years 4 months ago
2007
Natural Dowling analogues of the complex of phylogenetic trees are studied. Using discrete Morse theory, we find their homotopy types. In the process, the homotopy types of certai...