Color TV: Total variation methods for restoration of vector-valued images

被引：427

作者：

Blomgren, P ^{[1
]}

Chan, TF ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

IEEE TRANSACTIONS ON IMAGE PROCESSING | 1998年 / 7卷 / 03期

基金：

美国国家科学基金会;

关键词：

color images; image restoration; multispectral image; total variation;

D O I：

10.1109/83.661180

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We propose a new definition of the total variation norm for vector-valued functions that can be applied to restore color and other vector-valued images, The new TV norm has the desirable properties of 1) not penalizing discontinuities (edges) in the image, 2) being rotationally invariant in the image space, and 3) reducing to the usual TV norm in the scalar case. Some numerical experiments on deionising simple color images in red-green-blue (RGB) color space are presented.

引用

页码：304 / 309

页数：6

共 26 条

[1] 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

[2] SIGNAL AND IMAGE-RESTORATION USING SHOCK FILTERS AND ANISOTROPIC DIFFUSION [J].

ALVAREZ, L ;

MAZORRA, L .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (02) :590-605

[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] A MORPHOLOGICAL SCHEME FOR MEAN-CURVATURE MOTION AND APPLICATIONS TO ANISOTROPIC DIFFUSION AND MOTION OF LEVEL SETS [J].

CATTE, F ;

DIBOS, F ;

KOEPFLER, G .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1995, 32 (06) :1895-1909

[5]

CHAMBOLLE A, 1994, P IEEE INT C IM PROC

[6]

CHAN TF, 1996, P 12 INT C AN OPT SY, P241

[7] EDGE-DETECTION IN MULTISPECTRAL IMAGES [J].

CUMANI, A .

CVGIP-GRAPHICAL MODELS AND IMAGE PROCESSING, 1991, 53 (01) :40-51

[8] A NOTE ON THE GRADIENT OF A MULTIIMAGE [J].

DIZENZO, S .

COMPUTER VISION GRAPHICS AND IMAGE PROCESSING, 1986, 33 (01) :116-125

[9]

Kreyszig E., 1959, DIFFERENTIAL GEOMETR

[10] DETECTING BOUNDARIES IN A VECTOR FIELD [J].

LEE, HC ;

COK, DR .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1991, 39 (05) :1181-1194

← 1 2 3 →