Application of Fractional Calculus to Image Processing
ZHOU Chang-xiong
YAN Ting-qin
Abstract：In order to improve the ability of image enhancement and denoising,the frequent domain characteristics of fractional calculus are discussed,and some new improved fractional calculus masks and methods are proposed. The edge and texture of images have direction,and there is spatial correlation between the neighbored pixels,so there is the adjacent gray value. When the image is enhanced using 3×3 template of fractional differential operator,the enhancing value,which is maximum value of the four direction values, can be gained. Taking the arithmetic mean of the weighting sum value in 3×3 template as approximate value of denoised image,a novel image denoising approach based on two improved fractional integral masks is also proposed. The experimental results of Lena and Cam era show that the improved method can effectively enhance image edge and texture information and remove noise respectively. Furthermore,its advantages include good visual effects.
Keywords：fractional calculusimage enhancementimage denoisingedge and texture
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 12-16 )