Swept regions and surfaces: Modeling and volumetric properties

DOI10.1016/j.tcs.2007.10.004zbMath1135.68053OpenAlexW2023908379MaRDI QIDQ2476012

James Damon

Publication date: 11 March 2008

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2007.10.004

zbMATH Keywords

swept regionsBlum medial axisWhitney stratified setsswept surfacesradial shape operatorrelative shape operatorskeletal integralsswept skeletal structures

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (3)

Non-linear hypothesis testing of geometric object properties of shapes applied to hippocampi ⋮ Statistical Analysis of Locally Parameterized Shapes ⋮ Medial/Skeletal Linking Structures for Multi-Region Configurations

Cites Work

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• The global medial structure of regions in \(\mathbb R^3\)
• Medial representations. Mathematics, algorithms and applications
• Topological stability of smooth mappings
• Shape description using weighted symmetric axis features
• Multiscale medial loci and their properties
• Global geometry of regions and boundaries via skeletal and medial integrals
• Determining the geometry of boundaries of objects from medial data
• Tree structure for contractible regions in \(\mathbb R^{3}\)
• Smoothness and geometry of boundaries associated to skeletal structures, II: Geometry in the Blum case
• Theoretically Based Robust Algorithms for Tracking Intersection Curves of Two Deforming Parametric Surfaces

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