Back to Search Start Over

Measures and indices of reflection symmetry for convex polyhedra

Authors :
Roerdink, J B T M
Heijmans, H J A M
Tuzikov, Alexander V.
Roerdink, Jos B.T.M.
Heijmans, Henk J.A.M.
Sheynin, Stanislav V.
Roerdink, J B T M
Heijmans, H J A M
Tuzikov, Alexander V.
Roerdink, Jos B.T.M.
Heijmans, Henk J.A.M.
Sheynin, Stanislav V.
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