On weak solutions for an image denoising-deblurring model

被引：0
|
作者：
HUANG Haiyang JIA Chunyan HUAN Zhongdan School of Mathematical SciencesBeijing Normal University
Laboratory of Mathematics and ComplexSystemsMinistry of EducationBeijing China [100875 ]
机构：
来源：
Applied Mathematics:A Journal of Chinese Universities(Series B) | 2009年 / 24卷 / 03期
关键词：
D O I：
暂无
中图分类号：
TP391.41 [];
学科分类号：
080203 ;
摘要：
A new denoising-deblurring model in image restoration is proposed,in which the regularization term carries out anisotropic diffusion on the edges and isotropic diffusion on the regular regions.The existence and uniqueness of weak solutions for this model are proved,and the numerical model is also testified.Compared with the TV diffusion,this model preferably reduces the staircase appearing in the restored images.
引用
收藏
页码：269 / 281
页数：13
相关论文
共 50 条
  • [1] On weak solutions for an image denoising-deblurring model
    Hai-yang Huang
    Chun-yan Jia
    Zhong-dan Huan
    Applied Mathematics-A Journal of Chinese Universities, 2009, 24 : 269 - 281
  • [2] On weak solutions for an image denoising-deblurring model
    HUANG Hai-yang JIA Chun-yan HUAN Zhong-dan School of Mathematical Sciences
    Laboratory of Mathematics and ComplexSystems
    Applied Mathematics:A Journal of Chinese Universities, 2009, (03) : 269 - 281
  • [3] On weak solutions for an image denoising-deblurring model
    Huang Hai-yang
    Jia Chun-yan
    Huan Zhong-dan
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2009, 24 (03) : 269 - 281
  • [4] An image denoising-deblurring adaptive variational problem in BV space
    Huang Haiyang
    Zhang Haili
    Huan Zhongdan
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2009, 22 (04): : 315 - 333
  • [5] A study in the BV space of a denoising-deblurring variational problem
    Vese, L
    APPLIED MATHEMATICS AND OPTIMIZATION, 2001, 44 (02): : 131 - 161
  • [6] Image deblurring and denoising by an improved variational model
    Xu, Jianlou
    Feng, Aifen
    Hao, Yan
    Zhang, Xuande
    Han, Yu
    AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 2016, 70 (09) : 1128 - 1133
  • [7] A nonlinear level set model for image deblurring and denoising
    A. A. Bini
    M. S. Bhat
    The Visual Computer, 2014, 30 : 311 - 325
  • [8] A nonlinear level set model for image deblurring and denoising
    Bini, A. A.
    Bhat, M. S.
    VISUAL COMPUTER, 2014, 30 (03): : 311 - 325
  • [9] A Combination Algorithm for Image Denoising and Deblurring
    Xu, Yiping
    Chen, Hanlin
    Zheng, Kelong
    2010 6TH INTERNATIONAL CONFERENCE ON WIRELESS COMMUNICATIONS NETWORKING AND MOBILE COMPUTING (WICOM), 2010,
  • [10] Digital image reconstruction: Deblurring and denoising
    Puetter, RC
    Gosnell, TR
    Yahil, A
    ANNUAL REVIEW OF ASTRONOMY AND ASTROPHYSICS, 2005, 43 : 139 - 194
12345