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 article 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. © 2011 Springer-Verlag.
CITATION STYLE
Couprie, M. (2011). Hierarchic Euclidean skeletons in cubical complexes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6607 LNCS, pp. 141–152). https://doi.org/10.1007/978-3-642-19867-0_12
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