An acyclicity theorem for cell complexes in d dimension

H. Edelsbrunner, Combinatorica 10 (1990) 251–260.

Download
No fulltext has been uploaded. References only!

Journal Article | Published
Abstract
Let C be a cell complex in d-dimensional Euclidean space whose faces are obtained by orthogonal projection of the faces of a convex polytope in d + 1 dimensions. For example, the Delaunay triangulation of a finite point set is such a cell complex. This paper shows that the in front/behind relation defined for the faces of C with respect to any fixed viewpoint x is acyclic. This result has applications to hidden line/surface removal and other problems in computational geometry.
Publishing Year
Date Published
1990-01-01
Journal Title
Combinatorica
Acknowledgement
Research reported in this paper was supported by the National Science Foundation under grant CCR-8714565
Volume
10
Issue
3
Page
251 - 260
IST-REx-ID

Cite this

Edelsbrunner H. An acyclicity theorem for cell complexes in d dimension. Combinatorica. 1990;10(3):251-260. doi:10.1007/BF02122779
Edelsbrunner, H. (1990). An acyclicity theorem for cell complexes in d dimension. Combinatorica, 10(3), 251–260. https://doi.org/10.1007/BF02122779
Edelsbrunner, Herbert. “An Acyclicity Theorem for Cell Complexes in d Dimension.” Combinatorica 10, no. 3 (1990): 251–60. https://doi.org/10.1007/BF02122779.
H. Edelsbrunner, “An acyclicity theorem for cell complexes in d dimension,” Combinatorica, vol. 10, no. 3, pp. 251–260, 1990.
Edelsbrunner H. 1990. An acyclicity theorem for cell complexes in d dimension. Combinatorica. 10(3), 251–260.
Edelsbrunner, Herbert. “An Acyclicity Theorem for Cell Complexes in d Dimension.” Combinatorica, vol. 10, no. 3, Springer, 1990, pp. 251–60, doi:10.1007/BF02122779.

Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar