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Avtometriya

2011 year, number 6

Method of Obtaining Rotation-Invariant Images of Spatial Group Point Objects

D. G. Khafizov
Mari State Technical University
HafizovDG@marstu.net
Keywords: space group point object, quaternion signal, scalar product, measure of similarity, eigenvalues, covariational matrix
Pages: 28-33

Abstract

This paper considers the problem of obtaining the shape of spatial group point objects using the principal component method, which allows one to find a rotation-invariant representation of quaternion signals defining spatial group point objects. An advantage of this approach is the possibility of estimating rotation parameters in the absence of information on the numbering of points in the object.