• GENERALIZED FOURIER-FINITE MELLIN TRANSFORM

V. D. Sharma*, A. N. Rangari

Abstract


The Fourier-Mellin transform is a useful mathematical tool for image recognition because its resulting spectrum is invariant in rotation, translation and scale. This paper discusses an extension of Fourier finite Mellin transform in the distributional Generalized sense. Using Gelfand-Shilov technique the testing function space 〖FM〗_(f,b,c,∝) is defined. Generalized Fourier- finite Mellin transform is a Frechet space is proved and some topological proportions are obtained.

Keywords


Fourier-Mellin transforms, Generalized function, Fourier-finite Mellin transform, signal processing, watermarking.

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