• Corpus ID: 235592861

Morse-Smale complexes on convex polyhedra

  title={Morse-Smale complexes on convex polyhedra},
  author={Bal'azs Ludm'any and Zsolt L'angi and G{\'a}bor Domokos},
Motivated by applications in geomorphology, the aim of this paper is to extend Morse-Smale theory from smooth functions to the radial distance function (measured from an internal point), defining a convex polyhedron in 3dimensional Euclidean space. The resulting polyhedral Morse-Smale complex may be regarded, on one hand, as a generalization of the Morse-Smale complex of the smooth radial distance function defining a smooth, convex body, on the other hand, it could be also regarded as a… 

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