A Fractional Differential Approach to Low Contrast Image Enhancement

In order to improve the image contrast, a 2-D isotropic fractional differential algorithm for contrast enhancement is constructed, and its structure and parameters on 8 directions are presented. This nonlinear filter algorithm is implemented on various low-contrast digital images and the contrast enhancement of image is controlled by fractional order. The capability of fractional differential mask for contrast enhancement is dicussed. The Experiments and analysis show that the proposed method has excellent feedback for enhancing contrast of dark images, it enhances edge information effectively and reveals more detailed information than HE and SSR method for low-contrast images.

[1]  K. B. Oldham,et al.  The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .

[2]  P. Cochat,et al.  Et al , 2008, Archives de pediatrie : organe officiel de la Societe francaise de pediatrie.

[3]  Woo-Jin Song,et al.  Image contrast enhancement based on the generalized histogram , 2007, J. Electronic Imaging.

[4]  I. Podlubny.  Fractional differential equations , 1998 .

[5]  Giovanni Ramponi,et al.  Image enhancement via adaptive unsharp masking , 2000, IEEE Trans. Image Process..

[6]  Pu Yi-fei.  Application of Fractional Differential Approach to Digital Image Processing , 2007 .

[7]  K. Miller,et al.  An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .

[8]  Weixing Wang,et al.  Fractional differential approach to detecting textural features of digital image and its fractional differential filter implementation , 2008, Science in China Series F: Information Sciences.

[9]  Yi Wan,et al.  Joint Exact Histogram Specification and Image Enhancement Through the Wavelet Transform , 2007, IEEE Transactions on Image Processing.

[10]  Yehoshua Y. Zeevi,et al.  Image enhancement and denoising by complex diffusion processes , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[11]  O. Agrawal,et al.  Advances in Fractional Calculus , 2007 .

[12]  R. Hilfer.  Applications Of Fractional Calculus In Physics , 2000 .

[13]  Laurence Meylan,et al.  Bio-inspired color image enhancement , 2004, IS&T/SPIE Electronic Imaging.

[14]  John J. McCann,et al.  Retinex in Matlab , 2000, CIC.