Shape parametrization and contour curvature using method of hurwitz-radon matrices

Authors:
Dariusz Jakóbczak;Witold Kosiński
Affiliations:
Technical University of Koszalin, Koszalin, Poland;Polish-Japanese Institute of Information Technology, Warsaw, Poland,Kazimierz-Wielki University, Bydgoszcz, Poland
Venue:
ICAISC'12 Proceedings of the 11th international conference on Artificial Intelligence and Soft Computing - Volume Part I
Year:
2012

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Abstract

A method of Hurwitz-Radon Matrices (MHR) is proposed to be used in parametrization and interpolation of contours in the plane. Suitable parametrization leads to curvature calculations. Points with local maximum curvature are treated as feature points in object recognition and image analysis. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. The operator of Hurwitz-Radon (OHR), built from these matrices, is described. It is shown how to create the orthogonal OHR and how to use it in a process of contour parametrization and curvature calculation.