1HOD, Department of Mathematics, Arts, Commerce and Science College, Kiran Nagar, Amravati, India, 444606
2Department of Mathematics, Dr. Rajendra Gode Institute of Technology & Research, Amravati, India, 444602
Online published on 8 May, 2017.
The convolution in one domain equals point-wise multiplication in the other domain and we know that a two-dimensional function is represented in a computer as numerical values in a matrix, whereas a one dimensional Fourier transforms in a computer is an operation on a vector. A two dimensional Fourier transforms can be computed by a sequence of one dimensional Fourier transforms. The FMT is a global transform and applies to all pixels in the same way. In the present paper, we defined the property of two dimensional Fourier-Mellin transform which is mainly concerned with the study of similarity transformations i.e. direct product of the rotation and scale groups.
In this paper, we developed the convolution theorem for the two dimensional Fourier-Mellin transform.
Fourier Transform, Mellin Transform, Distributional function, the testing function space, Two Dimensional Fourier-Mellin Transform
