Time-fractional diffusion equation for signal smoothing
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Fawang Liu | Ian W. Turner | Yuanlu Li | Tao Li | I. Turner | Fawang Liu | Tao Li | Yuanlu Li
[1] Tudor Barbu,et al. Robust Anisotropic Diffusion Scheme for Image Noise Removal , 2014, KES.
[2] Andrew P. Witkin,et al. Scale-space filtering: A new approach to multi-scale description , 1984, ICASSP.
[3] Fawang Liu,et al. Implicit difference approximation for the time fractional diffusion equation , 2006 .
[4] Shahrokh Esmaeili,et al. A pseudo-spectral scheme for the approximate solution of a time-fractional diffusion equation , 2015, Int. J. Comput. Math..
[5] Yaqing Ding,et al. Nonlinear diffusion filtering for peak-preserving smoothing of a spectrum signal , 2016 .
[6] Jeffrey S. Morris,et al. Improved peak detection and quantification of mass spectrometry data acquired from surface‐enhanced laser desorption and ionization by denoising spectra with the undecimated discrete wavelet transform , 2005, Proteomics.
[7] P. Lions,et al. Image selective smoothing and edge detection by nonlinear diffusion. II , 1992 .
[8] Jian Bai,et al. Fractional-Order Anisotropic Diffusion for Image Denoising , 2007, IEEE Transactions on Image Processing.
[9] Koji Otsuka,et al. Signal denoising and baseline correction by discrete wavelet transform for microchip capillary electrophoresis , 2003, Electrophoresis.
[10] C. Burrus,et al. Noise reduction using an undecimated discrete wavelet transform , 1996, IEEE Signal Processing Letters.
[11] Santos B. Yuste,et al. An Explicit Difference Method for Solving Fractional Diffusion and Diffusion-Wave Equations in the Caputo Form , 2011 .
[12] P. Eilers. A perfect smoother. , 2003, Analytical chemistry.
[13] Shuai Lu,et al. Numerical differentiation from a viewpoint of regularization theory , 2006, Math. Comput..
[14] Dumitru Baleanu,et al. Application of the wavelet method for the simultaneous quantitative determination of benazepril and hydrochlorothiazide in their mixtures. , 2004, Journal of AOAC International.
[15] Achim Kohler,et al. Optimizing Savitzky–Golay Parameters for Improving Spectral Resolution and Quantification in Infrared Spectroscopy , 2013, Applied spectroscopy.
[16] A. Savitzky,et al. Smoothing and Differentiation of Data by Simplified Least Squares Procedures. , 1964 .
[17] Anatoly A. Alikhanov,et al. A new difference scheme for the time fractional diffusion equation , 2014, J. Comput. Phys..
[18] Diego A. Murio,et al. Implicit finite difference approximation for time fractional diffusion equations , 2008, Comput. Math. Appl..
[19] Xianjuan Li,et al. A Space-Time Spectral Method for the Time Fractional Diffusion Equation , 2009, SIAM J. Numer. Anal..
[20] Chuanju Xu,et al. Finite difference/spectral approximations for the time-fractional diffusion equation , 2007, J. Comput. Phys..
[21] D. Baleanu,et al. Application of the linear principle for the strongly-correlated variables: Calculations of differences between spectra , 2011 .
[22] Wanzhen Lu,et al. Wavelet Denoising of Derivative Near Infrared Spectra (NIR) , 2003, WAA.
[23] Jitendra Malik,et al. Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..
[24] Fawang Liu,et al. New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation , 2008, SIAM J. Numer. Anal..
[25] Santos B. Yuste,et al. Fast, accurate and robust adaptive finite difference methods for fractional diffusion equations , 2014, Numerical Algorithms.
[26] Dumitru Baleanu,et al. New approach for simultaneous spectral analysis of a complex mixture using the fractional wavelet transform , 2010 .
[27] G. W. Wei,et al. Generalized Perona-Malik equation for image restoration , 1999, IEEE Signal Processing Letters.
[28] Y. Leong Yeow,et al. A general method of computing the derivative of experimental data , 2006 .
[29] Jonathan J. Stickel,et al. Data smoothing and numerical differentiation by a regularization method , 2010, Comput. Chem. Eng..
[30] Fawang Liu,et al. Detailed analysis of a conservative difference approximation for the time fractional diffusion equation , 2006 .
[31] Teodor M. Atanackovic,et al. Fully fractional anisotropic diffusion for image denoising , 2011, Math. Comput. Model..
[32] Eduardo Cuesta,et al. Image structure preserving denoising using generalized fractional time integrals , 2012, Signal Process..