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Morse-Smale complexes for piecewise linear 3-manifolds

Publication ,  Journal Article
Edelsbrunner, H; Harer, J; Natarajan, V; Pascucci, V
Published in: Proceedings of the Annual Symposium on Computational Geometry
January 1, 2003

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 3-dimensional cells are shaped like crystals and are separated by quadrangular faces. In this paper, we give a combinatorial algorithm for constructing such complexes for piecewise linear data.

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Published In

Proceedings of the Annual Symposium on Computational Geometry

DOI

Publication Date

January 1, 2003

Start / End Page

361 / 370
 

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Edelsbrunner, H., Harer, J., Natarajan, V., & Pascucci, V. (2003). Morse-Smale complexes for piecewise linear 3-manifolds. Proceedings of the Annual Symposium on Computational Geometry, 361–370. https://doi.org/10.1145/777792.777846
Edelsbrunner, H., J. Harer, V. Natarajan, and V. Pascucci. “Morse-Smale complexes for piecewise linear 3-manifolds.” Proceedings of the Annual Symposium on Computational Geometry, January 1, 2003, 361–70. https://doi.org/10.1145/777792.777846.
Edelsbrunner H, Harer J, Natarajan V, Pascucci V. Morse-Smale complexes for piecewise linear 3-manifolds. Proceedings of the Annual Symposium on Computational Geometry. 2003 Jan 1;361–70.
Edelsbrunner, H., et al. “Morse-Smale complexes for piecewise linear 3-manifolds.” Proceedings of the Annual Symposium on Computational Geometry, Jan. 2003, pp. 361–70. Scopus, doi:10.1145/777792.777846.
Edelsbrunner H, Harer J, Natarajan V, Pascucci V. Morse-Smale complexes for piecewise linear 3-manifolds. Proceedings of the Annual Symposium on Computational Geometry. 2003 Jan 1;361–370.

Published In

Proceedings of the Annual Symposium on Computational Geometry

DOI

Publication Date

January 1, 2003

Start / End Page

361 / 370