Discrete Fractional Masks and Their Applications To Image Enhancement

Abstract

Fractional differences for image enhancement are revisited and the general methodology is illustrated in this chapter. Several fractional differences are theoretically analyzed and numerically compared. The weight coefficients derived from the discrete fractional calculus are a set of conserved quantities and they are suitable for image processing. Then a discrete fractional mask is designed within the Caputo difference and the mask coefficients are given by use of the Gamma functions. In comparison with the Grünwald-Letnikov difference and Riemann-Liouville masks, the results show this novel mask’s efficiency and simplicity. © 2019 Walter de Gruyter GmbH, Berlin/Boston.