SOLUTIONS OF FOURTH-ORDER PARTIAL DIFFERENTIAL EQUATIONS IN A NOISE REMOVAL MODEL

被引:0
|
作者
Liu, Qiang [1 ]
Yao, Zhengan [2 ]
Ke, Yuanyuan [1 ]
机构
[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China
[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
关键词
Existence; uniqueness; fourth-order; noise removal;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we discuss the existence and uniqueness of weak solutions for a fourth-order partial differential equation stemmed from image processing for noise removal. We also present some numerical tests for high order filters.
引用
收藏
页数:11
相关论文
共 50 条
  • [1] Fourth-order partial differential equations for noise removal
    You, YL
    Kaveh, M
    IEEE TRANSACTIONS ON IMAGE PROCESSING, 2000, 9 (10) : 1723 - 1730
  • [2] An improved noise removal model based on nonlinear fourth-order partial differential equations
    Wang, Dehua
    Gao, Jinghuai
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2016, 93 (06) : 942 - 954
  • [3] Noise Removal Using Edge-Preserving Fourth-Order Partial Differential Equations
    Wang, Yuanquan
    Zhang, Yunting
    Yu, Tielian
    PROCEEDINGS OF THE 2009 2ND INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING, VOLS 1-9, 2009, : 819 - +
  • [4] A Fourth-order Partial Differential Equation model for multiplicative noise Removal in Images
    Bini, A. A.
    Bhat, M. S.
    2013 INTERNATIONAL CONFERENCE ON EMERGING TRENDS IN COMMUNICATION, CONTROL, SIGNAL PROCESSING AND COMPUTING APPLICATIONS (IEEE-C2SPCA-2013), 2013,
  • [5] An Anisotropic Fourth-Order Partial Differential Equation for Noise Removal
    Hajiaboli, Mohammad Reza
    SCALE SPACE AND VARIATIONAL METHODS IN COMPUTER VISION, PROCEEDINGS, 2009, 5567 : 356 - 367
  • [6] Imaging Noise Suppression: Fourth-Order Partial Differential Equations and Travelling Wave Solutions
    Jamal, Sameerah
    MATHEMATICS, 2020, 8 (11) : 1 - 10
  • [7] Fourth-Order Partial Differential Equation Noise Removal on Welding Images
    Halim, Suhaila Abd
    Ibrahim, Arsmah
    Sulong, Tuan Nurul Norazura Tuan
    Manurung, Yupiter H. P.
    22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22), 2015, 1682
  • [8] SOLUTIONS FOR ONE CLASS OF NONLINEAR FOURTH-ORDER PARTIAL DIFFERENTIAL EQUATIONS
    Suksern, Supaporn
    SURANAREE JOURNAL OF SCIENCE AND TECHNOLOGY, 2011, 18 (02): : 153 - 157
  • [9] Three Solutions for Systems of n Fourth-Order Partial Differential Equations
    Heidarkhani, Shapour
    DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS, 2013, 47 : 411 - 419
  • [10] Fourth-order anisotropic diffusion equations for noise removal
    Jia, DY
    Huang, FG
    Wen, XF
    2004 7TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING PROCEEDINGS, VOLS 1-3, 2004, : 994 - 997