A Geometric Invariant Shape Descriptor Based on the Radon, Fourier, and Mellin Transforms

Authors:
Thai V. Hoang;Salvatore Tabbone
Affiliations:
-;-
Venue:
ICPR '10 Proceedings of the 2010 20th International Conference on Pattern Recognition
Year:
2010

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Abstract

A new shape descriptor invariant to geometric transformation based on the Radon, Fourier, and Mellin transforms is proposed. The Radon transform converts the geometric transformation applied on a shape image into transformation in the columns and rows of the Radon image. Invariances to translation, rotation, and scaling are obtained by applying 1D Fourier-Mellin and Fourier transforms on the columns and rows of the shape’s Radon image respectively. Experimental results on different datasets show the usefulness of the proposed shape descriptor.