Hierarchical Morse complexes for piecewise linear 2-manifolds
Publication
, Journal Article
Edelsbrunner, H; Harer, J; Zomorodian, A
Published in: Proceedings of the Annual Symposium on Computational Geometry
January 1, 2001
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 the smooth category, we extend the construction to the piecewise linear category by ensuring structural integrity and simulating differentiability. We then simplify Morse complexes by cancelling pairs of critical points in order of increasing persistence.
Duke Scholars
Published In
Proceedings of the Annual Symposium on Computational Geometry
DOI
Publication Date
January 1, 2001
Start / End Page
70 / 79
Citation
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Edelsbrunner, H., Harer, J., & Zomorodian, A. (2001). Hierarchical Morse complexes for piecewise linear 2-manifolds. Proceedings of the Annual Symposium on Computational Geometry, 70–79. https://doi.org/10.1145/378583.378626
Edelsbrunner, H., J. Harer, and A. Zomorodian. “Hierarchical Morse complexes for piecewise linear 2-manifolds.” Proceedings of the Annual Symposium on Computational Geometry, January 1, 2001, 70–79. https://doi.org/10.1145/378583.378626.
Edelsbrunner H, Harer J, Zomorodian A. Hierarchical Morse complexes for piecewise linear 2-manifolds. Proceedings of the Annual Symposium on Computational Geometry. 2001 Jan 1;70–9.
Edelsbrunner, H., et al. “Hierarchical Morse complexes for piecewise linear 2-manifolds.” Proceedings of the Annual Symposium on Computational Geometry, Jan. 2001, pp. 70–79. Scopus, doi:10.1145/378583.378626.
Edelsbrunner H, Harer J, Zomorodian A. Hierarchical Morse complexes for piecewise linear 2-manifolds. Proceedings of the Annual Symposium on Computational Geometry. 2001 Jan 1;70–79.
Published In
Proceedings of the Annual Symposium on Computational Geometry
DOI
Publication Date
January 1, 2001
Start / End Page
70 / 79