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Measures and indices of reflection symmetry for convex polyhedra
- Source :
- Tuzikov , A V , Roerdink , J B T M , Heijmans , H J A M & Sheynin , S V 1998 , Measures and indices of reflection symmetry for convex polyhedra . in J B T M Roerdink & H J A M Heijmans (eds) , Mathematical Morphology and its Applications to Image and Signal Processing . University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science , Dordrecht/Boston/London , pp. 59 - 65 .
- Publication Year :
- 1998
-
Abstract
- This paper discusses measures of reflection symmetry for 3D convex sets which are based on Minkowski addition and Brunn-Minkowski inequalities for volume and mixed volume. These measures are invariant to similitude transformations. It is also shown how these measures can be computed efficiently for convex polyhedra.
Details
- Database :
- OAIster
- Journal :
- Tuzikov , A V , Roerdink , J B T M , Heijmans , H J A M & Sheynin , S V 1998 , Measures and indices of reflection symmetry for convex polyhedra . in J B T M Roerdink & H J A M Heijmans (eds) , Mathematical Morphology and its Applications to Image and Signal Processing . University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science , Dordrecht/Boston/London , pp. 59 - 65 .
- Notes :
- application/pdf, English
- Publication Type :
- Electronic Resource
- Accession number :
- edsoai.on1365290170
- Document Type :
- Electronic Resource