A bi-directional fractional-order derivative mask for image processing applications

[1]  J. R. Wallis,et al.  Computer Experiments With Fractional Gaussian Noises: Part 1, Averages and Variances , 1969 .

[2]  Khalifa Djemal,et al.  A new speckle filtering method for ultrasound images based on a weighted multiplicative total variation , 2014, Signal Process..

[3]  Amir Nakib,et al.  Image histogram thresholding based on multiobjective optimization , 2007, Signal Process..

[4]  V. Namias The Fractional Order Fourier Transform and its Application to Quantum Mechanics , 1980 .

[5]  B. Riemann,et al.  Versuch einer allgemeinen Auffassung der Integration und Differentiation. (1847.) , 2013 .

[6]  Zhang Yi,et al.  A Fractional-Order Variational Framework for Retinex: Fractional-Order Partial Differential Equation-Based Formulation for Multi-Scale Nonlocal Contrast Enhancement with Texture Preserving , 2018, IEEE Transactions on Image Processing.

[7]  Kenneth S. Miller,et al.  Derivatives of Noninteger Order , 1995 .

[8]  Zhang Yi,et al.  Fractional-Order Retinex for Adaptive Contrast Enhancement of Under-Exposed Traffic Images , 2019, IEEE Intelligent Transportation Systems Magazine.

[9]  Saeid Nahavandi,et al.  A Classifier Graph Based Recurring Concept Detection and Prediction Approach , 2018, Comput. Intell. Neurosci..

[10]  M. Caputo Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .

[11]  Xiuhong Yang,et al.  Fractional-order tensor regularisation for image inpainting , 2017, IET Image Process..

[12]  Jinghuai Gao,et al.  Adaptive Variable Time Fractional Anisotropic Diffusion Filtering for Seismic Data Noise Attenuation , 2016, IEEE Transactions on Geoscience and Remote Sensing.

[13]  B. Onaral,et al.  Fractal system as represented by singularity function , 1992 .

[14]  Thomas J. Osler,et al.  A Child's Garden of Fractional Derivatives , 2000 .

[15]  Huaizhi Su,et al.  Integrated certainty and uncertainty evaluation approach for seepage control effectiveness of a gravity dam , 2019, Applied Mathematical Modelling.

[16]  Edward Roy Davies Design of optimal gaussian operators in small neighbourhoods , 1987, Image Vis. Comput..

[17]  A. Charef,et al.  Analogue realisation of fractional-order integrator, differentiator and fractional PI/spl lambda/D/spl mu/ controller , 2006 .