
H. Edelsbrunner, J. Harer, and A. Zomorodian, Hierarchical Morse Complexes for Piecewise Linear 2Manifolds, In Proc. 17th. Ann. ACM Sympos. Comput. Geom. (2001), pp. 7079.
Abstract:
We present algorithms for constructing a hierarchy of increasingly
coarse Morse complexes that decompose a piecewise linear 2manifold.
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.
Bibtex:
@InProceedings{,ehzhmcpl2m01,
author = "Edelsbrunner, H. and Harer, J. and Zomorodian, A.",
title = "Hierarchical {M}orse Complexes for Piecewise Linear 2Manifolds",
booktitle = "Proc. 17th Ann. ACM Sympos. Comput. Geom.",
year = 2001,
pages = "7079",
}

