Duke Applied Mathematics

Publications [#243577] of John Harer

Papers Published

1. Edelsbrunner, H; Harer, J; Zomorodian, A, Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds, Discrete and Computational Geometry, vol. 30 no. 1 (January, 2003), pp. 87-107, Springer Nature, ISSN 0179-5376 [doi]
   (last updated on 2024/04/24)

   Abstract:
   We present algorithms for constructing a hierarchy of increasingly coarse Morse-Smale complexes that decompose a piecewise linear 2-manifold. While these 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-Smale complexes by canceling pairs of critical points in order of increasing persistence.