Image restoration combining a total variational filter and a fourth-order filter

被引：188
|
作者：
Li, Fang [1 ]
Shen, Chaomin
Fan, Jingsong
Shen, Chunli
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
[2] E China Normal Univ, Joint Lab Imaging Sci & Technol, Shanghai 200062, Peoples R China
[3] E China Normal Univ, Dept Comp Sci, Shanghai 200062, Peoples R China
来源：
JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION | 2007年 / 18卷 / 04期
基金：
中国国家自然科学基金;
关键词：
image restoration; total variation; fourth-order filter; BV space; BV2; space;
D O I：
10.1016/j.jvcir.2007.04.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a noise removal algorithm based on variational method and partial differential equations (PDEs) is proposed. It combines a total variational filter (ROF filter) with a fourth-order PDE filter (LLT filter). The combined algorithm takes the advantage of both filters since it is able to preserve edges while avoiding the staircase effect in smooth regions. The existence and uniqueness of a solution to the minimization problem is established. Experimental results illustrate the effectiveness of the model in image restoration. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：322 / 330
页数：9
相关论文
共 50 条
  • [1] A Combination of the Total Variation Filter and a Fourth-Order Filter for Image Registration
    Yang, Xiaomei
    Shen, Chaomin
    Li, Fang
    Shen, Chunli
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [2] Image restoration via combining a fractional order variational filter and a TGV penalty
    Khan, Mushtaq Ahmad
    Ullah, Asmat
    Fu, Zhuo-Jia
    Khan, Sahib
    Khan, Sheraz
    MULTIMEDIA TOOLS AND APPLICATIONS, 2024, 83 (21) : 60393 - 60418
  • [3] An adaptive model combining a total variation filter and a fractional-order filter for image restoration
    Yang, Yafeng
    Zhao, Donghong
    JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 2019, 13 : 1 - 11
  • [4] Image decomposition combining a total variational filter and a Tikhonov quadratic filter
    Yan Hao
    Jianlou Xu
    Jian Bai
    Yu Han
    Multidimensional Systems and Signal Processing, 2015, 26 : 739 - 751
  • [5] Image decomposition combining a total variational filter and a Tikhonov quadratic filter
    Hao, Yan
    Xu, Jianlou
    Bai, Jian
    Han, Yu
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2015, 26 (03) : 739 - 751
  • [6] Image Restoration Combining the Second-Order and Fourth-Order PDEs
    Liu, Tianhua
    Xiang, Zhaoyin
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [7] An Anisotropic Fourth-Order Diffusion Filter for Image Noise Removal
    Hajiaboli, Mohammad Reza
    INTERNATIONAL JOURNAL OF COMPUTER VISION, 2011, 92 (02) : 177 - 191
  • [8] An Anisotropic Fourth-Order Diffusion Filter for Image Noise Removal
    Mohammad Reza Hajiaboli
    International Journal of Computer Vision, 2011, 92 : 177 - 191
  • [9] Adaptive fourth-order partial differential equation filter for image denoising
    Liu, Xinwu
    Huang, Lihong
    Guo, Zhenyuan
    APPLIED MATHEMATICS LETTERS, 2011, 24 (08) : 1282 - 1288
  • [10] Design of Fourth-Order Series Coupled Microring Filter on Chebyshev Filter Condition
    Hayasaka, Nobuyuki
    Arakawa, Taro
    Kokubun, Yasuo
    IEICE TRANSACTIONS ON ELECTRONICS, 2016, E99C (02): : 235 - 241
12345