Bio-inspired reaction diffusion system applied to image restoration

被引:6
作者
Eddine Alaa, Nour [1 ]
Zirhem, Mariam [1 ]
机构
[1] Cadi Ayyad Univ, Fac Sci & Technol, Lab LAMAI, Marrakech, Morocco
关键词
reaction diffusion system; mathematical biology model; image restoration; Fitzhugh-Nagumo model; nonlinear anisotropic diffusion; contrast enhancement; ANISOTROPIC DIFFUSION; EDGE-DETECTION;
D O I
10.1504/IJBIC.2018.10015515
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we propose a new model of nonlinear and anisotropic reaction diffusion system applied to image restoration and to contrast enhancement. This model is based on a system of partial differential equations of type Fitzhugh-Nagumo. In the first, we give the comparison with the previous model, then, we show the robustness and the performance of our algorithm through a number of experimental results.
引用
收藏
页码:128 / 137
页数:10
相关论文
共 16 条
[1]  
Alvarez L., 2010, SIAM J NUMER ANAL, V29, P845
[2]  
Ambrosio B., 2013, ACT C EDP NORM HAVR, P119
[3]  
[Anonymous], APPL MATH SCI
[4]   Robust anisotropic diffusion [J].
Black, MJ ;
Sapiro, G ;
Marimont, DH ;
Heeger, D .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 1998, 7 (03) :421-432
[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]   Deterministic edge-preserving regularization in computed imaging [J].
Charbonnier, P ;
BlancFeraud, L ;
Aubert, G ;
Barlaud, M .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 1997, 6 (02) :298-311
[7]  
Denisov A. M., 2010, P 20 INT C COMP GRAP, P129
[8]   THEORY OF BIOLOGICAL PATTERN FORMATION [J].
GIERER, A ;
MEINHARDT, H .
KYBERNETIK, 1972, 12 (01) :30-39
[9]   Perceptual image analysis [J].
Henry, C. ;
Peters, J. F. .
INTERNATIONAL JOURNAL OF BIO-INSPIRED COMPUTATION, 2010, 2 (3-4) :271-281
[10]   On some applications of diffusion processes for image processing [J].
Morfu, S. .
PHYSICS LETTERS A, 2009, 373 (29) :2438-2444