IMAGE SELECTIVE SMOOTHING AND EDGE-DETECTION BY NONLINEAR DIFFUSION

被引：1370
|
作者：
CATTE, F [1 ]
LIONS, PL [1 ]
MOREL, JM [1 ]
COLL, T [1 ]
机构：
[1] UNIV ILLES BALEARS, DEPT MATEMAT INFORMAT, PALMA DE MALLORCA, SPAIN
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 01期
关键词：
MULTISCALE IMAGE ANALYSIS; EDGE DETECTION; PARABOLIC EQUATION; NONLINEAR DIFFUSION; STABILITY;
D O I：
10.1137/0729012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new version of the Perona and Malik theory for edge detection and image restoration is proposed. This new version keeps all the improvements of the original model and avoids its drawbacks: it is proved to be stable in presence of noise, with existence and uniqueness results. Numerical experiments on natural images are presented.
引用
收藏
页码：182 / 193
页数：12
相关论文
共 50 条
  • [21] New Method of Image Smoothing and Edge Detection Based on Nonlinear Ambiguity Function
    Jin, Yanhong
    2017 INTERNATIONAL CONFERENCE ON COMPUTER NETWORK, ELECTRONIC AND AUTOMATION (ICCNEA), 2017, : 183 - 185
  • [22] Edge detection and image segmentation based on nonlinear anisotropic diffusion
    Bakalexis, SA
    Boutalis, YS
    Mertzios, BG
    DSP 2002: 14TH INTERNATIONAL CONFERENCE ON DIGITAL SIGNAL PROCESSING PROCEEDINGS, VOLS 1 AND 2, 2002, : 1203 - 1206
  • [23] Anisotropic and nonlinear diffusion applied to image enhancement and edge detection
    Oussous, M. Ait
    Alaa, N.
    Khouya, Y. Ait
    INTERNATIONAL JOURNAL OF COMPUTER APPLICATIONS IN TECHNOLOGY, 2014, 49 (02) : 122 - 133
  • [24] THEORY OF EDGE-DETECTION
    MARR, D
    HILDRETH, E
    PROCEEDINGS OF THE ROYAL SOCIETY SERIES B-BIOLOGICAL SCIENCES, 1980, 207 (1167): : 187 - 217
  • [25] MORPHOLOGICAL EDGE-DETECTION
    LEE, JSJ
    HARALICK, RM
    SHAPIRO, LG
    IEEE JOURNAL OF ROBOTICS AND AUTOMATION, 1987, 3 (02): : 142 - 156
  • [26] EDGE-DETECTION IN TEXTURES
    DAVIS, LS
    MITICHE, A
    COMPUTER GRAPHICS AND IMAGE PROCESSING, 1980, 12 (01): : 25 - 39
  • [27] Coupled anisotropic diffusion for image selective smoothing
    Luo, HongGen
    Zhu, LiMin
    Ding, Han
    SIGNAL PROCESSING, 2006, 86 (07) : 1728 - 1736
  • [28] SCALE-SPACE AND EDGE-DETECTION USING ANISOTROPIC DIFFUSION
    PERONA, P
    MALIK, J
    IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1990, 12 (07) : 629 - 639
  • [29] COLOR EDGE-DETECTION
    HUNTSBERGER, TL
    DESCALZI, MF
    PATTERN RECOGNITION LETTERS, 1985, 3 (03) : 205 - 209
  • [30] HIERARCHICAL EDGE-DETECTION
    MCLEAN, GF
    JERNIGAN, ME
    COMPUTER VISION GRAPHICS AND IMAGE PROCESSING, 1988, 44 (03): : 350 - 366
12345