Fast Numerical Solutions of Diffusion Equations in Image Processing

Aubert G and Kornprobst P. Mathematical Problem inImage Processing-Partial Differential Equations and theCalculus of Variations. New York: Springer-Verlag, 2002,Chapter 3.[2]Bai Jian and Feng Xiang-chu. Fractional-order anisotropicdiffusion for image denoising. IEEE Transactions on ImageProcessing, 2007, 16(10): 2492-2502.[3]Wang Wei-wei and Feng Xiang-chu. Anisotropic diffusionwith nonlinear structure tensor[J].SIAM Journal on MultiscaleModeling and Simulation.2008, 7(2):963-977[4]Perona P and Malik J. A scale space and edge detection usinganisotropic diffusion. IEEE Transactions on PAMI, 1990,12(7): 69-639.[5]Catte F, et al.. Image selective smoothing and edge-detectionby nonlinear diffusion[J].SIAM Joumal on Numerical Analysis.1992, 29(1):182-193[6]Weickert J. Anisotropic Diffusion in Image Processing.Stuttgart, Teubner-Verlag, 1998, Chapter 3-5.[7]Weickert J, et al.. Efficient and reliable schemes for nonlineardiffusion filtering[J].IEEE Transactions on Image Processing.1998, 7(3):280-291Acton S T. Multigrid anisotropic diffusion[J].IEEETransactions on Image Processing.1998, 7(3):280-291[8]Kim S. PDE-based image restoration: A hybrid model andcolor image denoising. IEEE Transactions on ImageProcessing, 2006, 15(5): 1163-1170.[9]Bruhn A, Weickert J, and Schnr C. Combining theadvantages of local and global optic flow methods. Proc.Pattern Recognition, LCNS, 2002, 2449: 454-462.[10]Iserles A. A First Course in the Numerical Analysis ofDifferential Equations. New York: Cambridge UniversityPress, 1996, Chapter 11.