A geometric invariant shape descriptor based on the Radon, Fourier, and Mellin transforms

Thai V. Hoang 1 Salvatore Tabbone 1
1 QGAR - Querying Graphics through Analysis and Recognition
LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
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.
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International Conference on Pattern Recognition - ICPR'2010, Aug 2010, Istanbul, Turkey. IEEE, pp.2085-2088, 2010, ICPR 2010 - 20th International Conference on Pattern Recognition. 〈http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5597270〉. 〈10.1109/ICPR.2010.512〉
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Thai V. Hoang, Salvatore Tabbone. A geometric invariant shape descriptor based on the Radon, Fourier, and Mellin transforms. International Conference on Pattern Recognition - ICPR'2010, Aug 2010, Istanbul, Turkey. IEEE, pp.2085-2088, 2010, ICPR 2010 - 20th International Conference on Pattern Recognition. 〈http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5597270〉. 〈10.1109/ICPR.2010.512〉. 〈inria-00512312〉

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