Measures and Indices of Reflection Symmetry for Convex Polyhedra
Alexander V. Tuzikov, Jos B.T.M. Roerdink, Henk J.A.M. Heijmans and Stanislav V. Sheynin. Measures and Indices of Reflection Symmetry for Convex Polyhedra. In: Mathematical Morphology and its Applications to Image and Signal Processing, Henk J. A. M. Heijmans and Jos B. T. M. Roerdink (eds.), Kluwer, 1998, pp. 59-65.
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.
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