Talks and Poster Presentations (with Proceedings-Entry):
W. Kropatsch, R. Casablanca, D. Batavia, R. Gonzalez-Diaz:
"Computing and Reducing Slope Complexes";
Talk: 7th intl. Workshop on Computational Topology in Image Context,
- 2019-01-25; in: "Proceedings 7th intl. Workshop on Computational Topology in Image Context",
Springer, Berlin Heidelberg
In this paper we provide a new characterization of cell de-composition (called slope complex) of a given 2-dimensional continuous surface. Each patch (cell) in the decomposition must satisfy that there exists a monotonic path for any two points in the cell. We prove that any triangulation of such surface is a slope complex and explain how to obtain new slope complexes with a smaller number of slope regions decomposing the surface. We give the minimal number of slope regions by counting certain bounding edges of a triangulation of the surface obtained from its critical points.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.