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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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Submitted on : Monday, September 13, 2010 - 10:34:11 PM
Last modification on : Friday, February 26, 2021 - 3:28:08 PM
Long-term archiving on: : Tuesday, October 23, 2012 - 3:56:09 PM

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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. pp.2085-2088, ⟨10.1109/ICPR.2010.512⟩. ⟨inria-00512312⟩

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