On a non-linear model for image noise reduction

被引:19
作者
Aboulaich, R.
Boujena, S.
El Guarmah, E.
机构
[1] Univ Mohammed 5, Ecole Mohammadia Ingn, LERMA, Rabat, Morocco
[2] Fac Sci Ain Chock, Dept Math & Informat, Casablanca, Morocco
关键词
D O I
10.1016/j.crma.2007.09.009
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This work deals with a mathematical study for a proposed non-linear evolution partial differential equations model for image processing. The existence and the uniqueness of the solution are established, the model is numerically tested. The Signal to Noise Ratio (SNR) number is used to estimate the quality of the restored images.
引用
收藏
页码:425 / 429
页数:5
相关论文
共 12 条
[1]  
ABOULAICH R, 2007, IN PRESS COMPUTERS M
[2]   IMAGE SELECTIVE SMOOTHING AND EDGE-DETECTION BY NONLINEAR DIFFUSION .2. [J].
ALVAREZ, L ;
LIONS, PL ;
MOREL, JM .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (03) :845-866
[3]  
Aubert G, 2002, Mathematical problems in image processing: Partial differential equations and the calculus of variations
[4]  
BOUJENA S, 1986, THESIS U PIERRE MARI
[5]   IMAGE SELECTIVE SMOOTHING AND EDGE-DETECTION BY NONLINEAR DIFFUSION [J].
CATTE, F ;
LIONS, PL ;
MOREL, JM ;
COLL, T .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (01) :182-193
[6]  
DUVAUT J, 1972, INEQUATIONS MECANIQU
[7]  
LADYSKENSKAYA O, 1969, MATH PROBLEMS DYNAMI
[8]  
Lions JL., 1969, Quelques methodes de resolution des problemes aux limites non lineaires
[9]  
LITVINOV VG, 1982, MOTION NON LINEARLY
[10]   FEATURE-ORIENTED IMAGE-ENHANCEMENT USING SHOCK FILTERS [J].
OSHER, S ;
RUDIN, LI .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (04) :919-940