Reflection symmetry measure for convex sets

Author

Margolin, G.L. ; Tuzikov, A.V. ; Grenov, A.I.

Author_Institution

Inst. of Eng. Cybernetics, Acad. of Sci., Minsk, Byelorussia

Volume

1

fYear

1994

fDate

13-16 Nov 1994

Firstpage

691

Abstract

We investigate the properties of Blaschke symmetrization of compact sets (binary images) and introduce a convex set reflection symmetry measure via this symmetrization. A lower bound for the reflection symmetry measure is obtained. For the case of two and three dimensions we consider also a derivative reflection symmetry measure. In the two dimensional case a perimetric measure representation of convex sets is applied for the convex sets symmetrization as well as for the reflection symmetry measure calculation. In the case of discrete sets we suggest to use fast Fourier transformation for the fast implementation of the symmetrization transformation

Keywords

fast Fourier transforms; image processing; set theory; Blaschke symmetrization; binary images; compact sets; convex sets; discrete sets; fast Fourier transformation; lower bound; reflection symmetry measure; symmetrization transformation; two dimensional case; Convolution; Coordinate measuring machines; Cybernetics; Extraterrestrial measurements; Reflection; Volume measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1994. Proceedings. ICIP-94., IEEE International Conference

Conference_Location

Austin, TX

Print_ISBN

0-8186-6952-7

Type

conf

DOI

10.1109/ICIP.1994.413403

Filename

413403