The global medial structure of regions in \(\mathbb R^3\)

DOI10.2140/gt.2006.10.2385zbMath1131.57025arXiv0903.0394OpenAlexW3125583963MaRDI QIDQ860184

James Damon

Publication date: 23 January 2007

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0394

zbMATH Keywords

Blum medial axisextended graphsfin curvesgeometric complexity of regionsirreducible medial componentsweighted genusWhitney stratified setsY-network

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Surfaces in Euclidean and related spaces (53A05) Shape theory (55P55) Stratified sets (58A35) Stratifications in topological manifolds (57N80)

Related Items (6)

Tree structure for contractible regions in \(\mathbb R^{3}\) ⋮ Structure and transitions of line bitangencies in a family of surface pairs ⋮ Swept regions and surfaces: Modeling and volumetric properties ⋮ Segmenting Simplified Surface Skeletons ⋮ A Bose type formula for the internal medial axis of an embedded manifold ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

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