Generalized Two-Dimensional Fourier-Mellin Transform and Pattern Recognition

Abstract

Due to shift form invariant property of Fourier-Mellin transform, it is frequently used in number of problems as pattern recognition, image restoration, computer data protection etc. In this paper two-dimensional Fourier-Mellin transform is extended in the distributional generalized sense. Analyticity theorem for distributional Fourier-Mellin transform is proved. Some operators on its dual spaces are also discussed.