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COMPGEOM
2001
ACM

Hierarchical morse complexes for piecewise linear 2-manifolds

12 years 3 months ago
Hierarchical morse complexes for piecewise linear 2-manifolds
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. Keywords. Computational topology, PL manifolds, Morse theory, topological persistence, hierarchy, algorithms, implementation, terrains.
Herbert Edelsbrunner, John Harer, Afra Zomorodian
Added 23 Aug 2010
Updated 23 Aug 2010
Type Conference
Year 2001
Where COMPGEOM
Authors Herbert Edelsbrunner, John Harer, Afra Zomorodian
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