A well-balanced flow equation for noise removal and edge detection

被引:70
作者
Barcelos, CAZ
Boaventura, M
Silva, EC
机构
[1] Univ Fed Uberlandia, FACOM Fed, BR-38400 Uberlandia, MG, Brazil
[2] UNESP, DCCE, IBILCE, Sao Jose Do Rio Preto, SP, Brazil
关键词
diffusion equation; edge detection; image processing; noise removal;
D O I
10.1109/TIP.2003.814242
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, an anisotropic nonlinear diffusion equation for image restoration is presented. The model has two terms: the diffusion and the forcing term. The balance between these terms is made in a selective way, in which boundary points and interior points of the objects that make up the image are treated differently. The optimal smoothing time concept, which allows for finding the ideal stop time for the evolution of the partial differential equation is also proposed. Numerical results show the proposed model's high performance.
引用
收藏
页码:751 / 763
页数:13
相关论文
共 20 条
[1]   ALTERNATIVE THERAPY IN SEVERE ASTHMA [J].
ALVAREZ, J ;
SZEFLER, SJ .
JOURNAL OF ASTHMA, 1992, 29 (01) :3-11
[2]  
Alvarez L, 1997, SIAM J APPL MATH, V57, P153
[3]  
[Anonymous], 1996, LEVEL SET METHODS
[4]   Heat flows and related minimization problem in image restoration [J].
Barcelos, CAZ ;
Chen, Y .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (5-6) :81-97
[5]  
BARCELOS CAZ, 2002, EDGE PRESERVING REGU
[6]   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
[7]   Image recovery via total variation minimization and related problems [J].
Chambolle, A ;
Lions, PL .
NUMERISCHE MATHEMATIK, 1997, 76 (02) :167-188
[8]   Smoothing and edge detection by time-varying coupled nonlinear diffusion equations [J].
Chen, Y ;
Barcelos, CAS ;
Mair, BA .
COMPUTER VISION AND IMAGE UNDERSTANDING, 2001, 82 (02) :85-100
[9]   Image denoising and segmentation via nonlinear diffusion [J].
Chen, YM ;
Vemuri, BC ;
Wang, L .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (5-6) :131-149
[10]   USERS GUIDE TO VISCOSITY SOLUTIONS OF 2ND-ORDER PARTIAL-DIFFERENTIAL EQUATIONS [J].
CRANDALL, MG ;
ISHII, H ;
LIONS, PL .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 27 (01) :1-67