Smoothness and geometry of boundaries associated to skeletal structures, II: Geometry in the Blum case

DOI10.1112/S0010437X04000570zbMath1071.57022OpenAlexW2321793917MaRDI QIDQ4654514

James Damon

Publication date: 7 March 2005

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x04000570

zbMATH Keywords

radial flowBlum medial axisWhitney stratified setsskeletal structuresradial shape operatordistortion operator

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Stratified sets (58A35) Stratifications in topological manifolds (57N80)

Related Items (10)

The global medial structure of regions in \(\mathbb R^3\) ⋮ NORMAL-MAP BETWEEN NORMAL-COMPATIBLE MANIFOLDS ⋮ Modeling multi-object configurations via medial/skeletal linking structures ⋮ Medial/Skeletal Linking Structures for Multi-Region Configurations ⋮ Smoothness and geometry of boundaries associated to skeletal structures I: sufficient conditions for smoothness. ⋮ Swept regions and surfaces: Modeling and volumetric properties ⋮ Rigidity properties of the Blum medial axis ⋮ Structure-Specific Statistical Mapping of White Matter Tracts ⋮ Jacobi’s last geometric statement extends to a wider class of Liouville surfaces ⋮ Determining the geometry of boundaries of objects from medial data

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