Noise reduction and edge detection via kernel anisotropic diffusion

被引:98
作者
Yu, Jinhua [1 ]
Wang, Yuanyuan [1 ]
Shen, Yuzhong [2 ]
机构
[1] Fudan Univ, Dept Elect Engn, Shanghai 200433, Peoples R China
[2] Old Dominion Univ, Dept Elect & Comp Engn, Norfolk, VA 23529 USA
基金
中国国家自然科学基金;
关键词
anisotropic diffusion; kernel methods; noise reduction; edge detection;
D O I
10.1016/j.patrec.2008.03.002
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
A novel kernel anisotropic diffusion (KAD) method is proposed for robust noise reduction and edge detection. The KAD incorporates a kernelized gradient operator in the diffusion, leading to more effective edge detection and providing a better control to the diffusion process. Adaptive diffusion threshold estimation and automatic diffusion termination criterion are also introduced to enhance the robustness of the KAD. The KAD outperforms several previous anisotropic diffusion-based methods for low SNR images. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:1496 / 1503
页数:8
相关论文
共 30 条
[1]   Real-time speckle reduction and coherence enhancement in ultrasound imaging via nonlinear anisotropic diffusion [J].
Abd-Elmoniem, KZ ;
Youssef, ABM ;
Kadah, YM .
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2002, 49 (09) :997-1014
[2]   A well-balanced flow equation for noise removal and edge detection [J].
Barcelos, CAZ ;
Boaventura, M ;
Silva, EC .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2003, 12 (07) :751-763
[3]   Generalized discriminant analysis using a kernel approach [J].
Baudat, G ;
Anouar, FE .
NEURAL COMPUTATION, 2000, 12 (10) :2385-2404
[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]   Robust image segmentation using FCM with spatial constraints based on new kernel-induced distance measure [J].
Chen, SC ;
Zhang, DQ .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (04) :1907-1916
[7]   GEOMETRICAL AND STATISTICAL PROPERTIES OF SYSTEMS OF LINEAR INEQUALITIES WITH APPLICATIONS IN PATTERN RECOGNITION [J].
COVER, TM .
IEEE TRANSACTIONS ON ELECTRONIC COMPUTERS, 1965, EC14 (03) :326-&
[8]   NONLINEAR ANISOTROPIC FILTERING OF MRI DATA [J].
GERIG, G ;
KUBLER, O ;
KIKINIS, R ;
JOLESZ, FA .
IEEE TRANSACTIONS ON MEDICAL IMAGING, 1992, 11 (02) :221-232
[9]   Image enhancement and denoising by complex diffusion processes [J].
Gilboa, G ;
Sochen, N ;
Zeevi, YY .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2004, 26 (08) :1020-1036
[10]  
Haykin S., 1999, Neural networks: a comprehensive foundation, V2nd ed.