Generalized Two-Dimensional Fractional Mellin Transform

The fractional Fourier Mellin based correlators can be used in detecting or controlling specific range of movements. Also, both the conventional and the fractional based correlators can be easily implemented optically in lense, thus providing correlation images directly at image acquisition time. In this paper two-dimensional fractional Mellin transform is extended to the distribution of compact support. Analyticity theorem and boundedness property for the two-dimensional fractional Mellin transform are proved. Inversion of formula and uniqueness theorem are also proved.