Morse-Smale complexes for piecewise linear 3-manifolds
Proceedings of the nineteenth annual symposium on Computational geometry, 2003•dl.acm.org
We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of
the descending and ascending manifolds of all critical points. In the generic case, its 3-
dimensional cells are shaped like crystals and are separated by quadrangular faces. In this
paper, we give a combinatorial algorithm for constructing such complexes for piecewise
linear data.
the descending and ascending manifolds of all critical points. In the generic case, its 3-
dimensional cells are shaped like crystals and are separated by quadrangular faces. In this
paper, we give a combinatorial algorithm for constructing such complexes for piecewise
linear data.
We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its 3-dimensional cells are shaped like crystals and are separated by quadrangular faces. In this paper, we give a combinatorial algorithm for constructing such complexes for piecewise linear data.
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