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Hierarchic Euclidean skeletons in cubical complexes

Abstract : In the 90s, several authors introduced the notion of a hierarchic family of 2D Euclidean skeletons, evolving smoothly under the control of a filtering parameter. We provide in this paper a discrete framework which formalizes and generalizes this notion, in particular to higher dimensions. This framework allows us to propose a new skeletonization scheme and to prove several important properties, such as topology preservation and stability w.r.t. parameter changes.
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Contributor : Michel Couprie <>
Submitted on : Friday, September 7, 2012 - 1:33:17 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:06 PM

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Michel Couprie. Hierarchic Euclidean skeletons in cubical complexes. Discrete Geometry for Computer Imagery, 2011, France. pp.141-152, ⟨10.1007/978-3-642-19867-0_12⟩. ⟨hal-00729055⟩



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