Rigidity properties of the Blum medial axis

DOI10.1007/s10851-020-00998-xOpenAlexW3100825866MaRDI QIDQ2033295

James Damon

Publication date: 14 June 2021

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.00241

zbMATH Keywords

diffeomorphismsboundary propertiesBlum medial axisrigidity conditionsskeletal structuresbranching submanifoldsinfinitesimal medial conditionsradial distortion operatorradial shape operatorradial vectors and linestriple cross ratio

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Determinantal varieties (14M12) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Complex surface and hypersurface singularities (32S25) Prehomogeneous vector spaces (11S90) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Computer science (68-XX) Information and communication theory, circuits (94-XX)

Cites Work

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• Medial representations. Mathematics, algorithms and applications
• Shape description using weighted symmetric axis features
• Smoothness and geometry of boundaries associated to skeletal structures I: sufficient conditions for smoothness.
• Multiscale medial loci and their properties
• Modeling multi-object configurations via medial/skeletal linking structures
• Determining the geometry of boundaries of objects from medial data
• Smoothness and geometry of boundaries associated to skeletal structures, II: Geometry in the Blum case
• Medial/Skeletal Linking Structures for Multi-Region Configurations

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