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

—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. Keywords-Geometric invariant regions-based shape descriptor, Radon transform, Fourier transform, Mellin transform

• Type: Conference
• Year: 2010
• Where: ICPR
• Authors: Thai V. Hoang, Salvatore Tabbone
• Keywords: Computer Vision, ICPR 2010, Radon Transform, Shape Descriptor, Shape Descriptor Invariant