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Medial Axis Homotopy  (Make Corrections)  
(Rapport de recherche LMC/IMAG ) Andre Lieutier LMC-IMAG (Grenoble) and...



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Abstract: Medial Axis Transform is sometimes used as an intermediate representation in algorithms for meshing or recognition of shapes from digitized data. This raises the question whether the Medial Axis captures fundamental topological invariants of the object. The (positive) answer has been known already in the case of smooth objects. The main result presented here is the homotopy equivalence of any bounded open subset of R with its Medial Axis. The largest part of the paper is the proof of this... (Update)

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BibTeX entry:   (Update)

@misc{ recherche-medial,
  author = "Rapport De Recherche",
  title = "Medial Axis Homotopy",
  url = "citeseer.ist.psu.edu/720714.html" }
Citations (may not include all citations):
50   A Simple Algorithm for Homeomorphic surface Reconstruction - Amenta, Choi et al. - 2000
25   Smooth Surface Reconstruction via Natural Neighbour Interpol.. - Boissonnat, Cazals - 2000
8   erential Equations: A Dynamical Systems Approach (context) - Hubbard, West - 1995
1   emie des Sciences de Hongrie Paris (context) - ed, Riesz et al. - 1968
1   Calcul integral (context) - Guichardet - 1969
1   A First Course Graduate Texts in Mathematics (context) - Algebraic - 1995
1   Munkres Elements of Algebraic Topology (context) - James - 1984
1   Cours de Calcul Di erentiel (context) - Cartan - 1977
1   the Negligibility of the Skeleton and the Absolute Continuit.. (context) - Matheron, Topological et al. - 1988
1   Design Laboratory Design Laboratory Memorandum (context) - Cut, Medial et al. - 1993
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