Adjoint Operators of Two Dimensional Fractional Fourier-Mellin Transform

Abstract

Methods based on the Fourier transform and Mellin transform are used in virtually all areas of engineering and science and by virtually all engineers and scientists. These transform play a important role in signal processing, algorithm, watermarking, pattern recognition, correlators, navigation, vowel recognition, cryptographic scheme, quantum calculus, radar system and have applications in agriculture, medical stream, detection of watermark in images regardless of the scaling and rotation. In this paper we present an adjiont shifting operator, adjoint scaling operator and adjoint shifting-scaling operator of two dimensional fractional Fourier-Mellin transform. Also we discuss some transform formulae using adjoint differential operator.