Non-commutative morphology: Shapes, filters, and convolutions

DOI10.1016/j.cagd.2011.06.008zbMath1246.65039OpenAlexW2004061606MaRDI QIDQ428047

Mikola Lysenko, Vadim Shapiro, Saigopal Nelaturi

Publication date: 18 June 2012

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2011.06.008

zbMATH Keywords

configuration spacemathematical morphologyMinkowski sumsymmetry detectionnon-commutative groupMinkowski differencesgroup morphology

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (1)

Multi-adjoint algebras versus non-commutative residuated structures

Uses Software

• SciPy
• PyCUDA

Cites Work

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• Covering Minkowski sum boundary using points with applications
• Offsetting operations in solid modelling
• Applications of vector sum operator
• The dual of sweep.
• FFTs on the rotation group
• Spatial Planning: A Configuration Space Approach
• A representation theory for morphological image and signal processing
• Accurate Minkowski sum approximation of polyhedral models
• Minkowski geometric algebra of complex sets

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