Generalized Perona-Malik equation for image restoration

被引：118

作者：

Wei, GW ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Computat Sci, Singapore 119260, Singapore

来源：

IEEE SIGNAL PROCESSING LETTERS | 1999年 / 6卷 / 07期

关键词：

D O I：

10.1109/97.769359

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This letter introduces generalizations of the Perona-Malik equation. An edge enhancing functional is proposed for direct edge enhancement. A number of super diffusion operators is introduced for fast and effective smoothing. Statistical information is utilized for robust edge-stopping. Numerical integration is conducted by using a recently developed quasiinterpolating wavelet method. Computer experiments indicate that the present algorithm is very efficient for edge-detecting and noise-removing.

引用

页码：165 / 167

页数：3

共 13 条

[1]

Acton ST, 1996, INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, PROCEEDINGS - VOL I, P865, DOI 10.1109/ICIP.1996.559636

[2] Robust anisotropic diffusion [J].

Black, MJ ;

Sapiro, G ;

Marimont, DH ;

Heeger, D .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 1998, 7 (03) :421-432

[3] 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

[4] The Perona-Malik paradox [J].

Kichenassamy, S .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1997, 57 (05) :1328-1342

[5] NONLINEAR IMAGE FILTERING WITH EDGE AND CORNER ENHANCEMENT [J].

NITZBERG, M ;

SHIOTA, T .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1992, 14 (08) :826-833

[6] SCALE-SPACE AND EDGE-DETECTION USING ANISOTROPIC DIFFUSION [J].

PERONA, P ;

MALIK, J .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1990, 12 (07) :629-639

[7] NONLINEAR TOTAL VARIATION BASED NOISE REMOVAL ALGORITHMS [J].

RUDIN, LI ;

OSHER, S ;

FATEMI, E .

PHYSICA D, 1992, 60 (1-4) :259-268

[8] A common framework for curve evolution, segmentation and anisotropic diffusion [J].

Shah, J .

1996 IEEE COMPUTER SOCIETY CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION, PROCEEDINGS, 1996, :136-142

[9] Variational approach for edge-preserving regularization using coupled PDE's [J].

Teboul, S ;

Blanc-Feraud, L ;

Aubert, G ;

Barlaud, M .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 1998, 7 (03) :387-397

[10] Image recovery using the anisotropic diffusion equation [J].

TorkamaniAzar, F ;

Tait, KE .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 1996, 5 (11) :1573-1578

← 1 2 →