Publications [#10033] of John Harer

Papers Published

1. H. Edelsbrunner, J. Harer and A. Zomorodian, Hierarchical Morse complexes for piecewise linear 2-manifolds, Proc. 17th Sympos. Comput. Geom. 2001, 70-79.
   (last updated on 2004/12/15)

   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.