Medical Image Enhancement Method Based on the Fractional Order Derivative and the Directional Derivative

In recent years, the fractional order derivative has been introduced for image enhancement. It was proved that the medical image enhancement method based on the fractional order derivative has bett...

[1]  Agostinho C. Rosa,et al.  Gray-scale image enhancement as an automatic process driven by evolution , 2004, IEEE Trans. Syst. Man Cybern. Part B.

[2]  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.

[3]  Charles A. Bouman,et al.  Image Enhancement Using the Hypothesis Selection Filter: Theory and Application to JPEG Decoding , 2013, IEEE Transactions on Image Processing.

[4]  I. Podlubny.  Fractional-Order Systems and -Controllers , 1999 .

[5]  Xiaoyang Tan,et al.  Fractional order singular value decomposition representation for face recognition , 2008, Pattern Recognit..

[6]  Hongyi Liu,et al.  Local brightness adaptive image colour enhancement with Wasserstein distance , 2015, IET Image Process..

[7]  A. Zayed.  On the relationship between the Fourier and fractional Fourier transforms , 1996, IEEE Signal Processing Letters.

[8]  Liang Xiao,et al.  Adaptive Fractional-order Multi-scale Method for Image Denoising , 2011, Journal of Mathematical Imaging and Vision.

[9]  Xuelong Li,et al.  Image Classification With Densely Sampled Image Windows and Generalized Adaptive Multiple Kernel Learning , 2015, IEEE Transactions on Cybernetics.

[10]  Jiliu Zhou,et al.  Edge detection of colour image based on quaternion fractional differential , 2011 .

[11]  Sung-Bae Cho,et al.  A Novel Evolutionary Approach to Image Enhancement Filter Design: Method and Applications , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[12]  E. R. Love,et al.  Fractional Derivatives of Imaginary Order , 1971 .

[13]  Rachid Harba,et al.  nth-order fractional Brownian motion and fractional Gaussian noises , 2001, IEEE Trans. Signal Process..

[14]  Fawang Liu,et al.  A Variable Order Fractional Differential-Based Texture Enhancement Algorithm with Application in Medical Imaging , 2015, PloS one.

[15]  Yi-Fei Pu,et al.  Fractional Differential Mask: A Fractional Differential-Based Approach for Multiscale Texture Enhancement , 2010, IEEE Transactions on Image Processing.

[16]  Yan Liang,et al.  Adaptive extended piecewise histogram equalisation for dark image enhancement , 2015, IET Image Process..

[17]  É. Petit,et al.  Image thresholding framework based on two-dimensional digital fractional integration and Legendre moments' , 2012 .

[18]  Olivier Clatz,et al.  DT-REFinD: Diffusion Tensor Registration With Exact Finite-Strain Differential , 2009, IEEE Transactions on Medical Imaging.

[19]  Liang Xiao,et al.  A fast adaptive reweighted residual-feedback iterative algorithm for fractional-order total variation regularized multiplicative noise removal of partly-textured images , 2014, Signal Process..

[20]  Weisi Lin,et al.  The Analysis of Image Contrast: From Quality Assessment to Automatic Enhancement , 2016, IEEE Transactions on Cybernetics.

[21]  Sos S. Agaian,et al.  Human Visual System-Based Image Enhancement and Logarithmic Contrast Measure , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[22]  S. K. Dai,et al.  Texture image retrieval and image segmentation using composite sub-band gradient vectors , 2006, J. Vis. Commun. Image Represent..

[23]  Chien-Cheng Tseng,et al.  Design of fractional order digital FIR differentiators , 2001, IEEE Signal Process. Lett..

[24]  B. N. Chatterji,et al.  Contrast Enhancement of Dark Images using Stochastic Resonance in Wavelet Domain , 2022 .

[25]  Jin Liu,et al.  Binary image enhancement based on aperiodic stochastic resonance , 2015, IET Image Process..

[26]  Mila Nikolova,et al.  Fast Hue and Range Preserving Histogram Specification: Theory and New Algorithms for Color Image Enhancement , 2014, IEEE Transactions on Image Processing.

[27]  Weisi Lin,et al.  No-Reference Image Blur Assessment Based on Discrete Orthogonal Moments , 2016, IEEE Transactions on Cybernetics.

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

[29]  K. Burrage,et al.  The use of a Riesz fractional differential-based approach for texture enhancement in image processing , 2013 .

[30]  Sos S. Agaian,et al.  Parameterized Logarithmic Framework for Image Enhancement , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[31]  Turgay Çelik,et al.  Spatial Entropy-Based Global and Local Image Contrast Enhancement , 2014, IEEE Transactions on Image Processing.

[32]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[33]  Jian Bai,et al.  Fractional-Order Anisotropic Diffusion for Image Denoising , 2007, IEEE Transactions on Image Processing.

[34]  R. Chan,et al.  An Adaptive Strategy for the Restoration of Textured Images using Fractional Order Regularization , 2013 .

[35]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .