Fractional Differential Masks of Digital Image and Their Numerical Implementation Algorithms

Abstract

We mainly discuss the fractional differential masks of digital image and their numerical implementation algorithms.Firstly,we discuss the characteristics of the fractional differential masks from a signal processing point of view.Secondly,we discuss in detail the structures and parameters of eight n×n fractional differential masks on negative x-axis,positive x-axis,negative y-axis,positive y-axis,left downward diagonal,left upward diagonal,right downward diagonal,and right upward diagonal,respectively,which are centro-symmetric interdependently.Lastly,we discuss the numerical implementation algorithms of the fractional differential masks for digital image.Numerical experiments show that the textural details enhance capabilities of the fractional differential-based texture operator are better than those of the integral differential based one for rich-grained digital images.