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
  • [21] A highly stable explicit scheme for a fourth-order nonlinear diffusion filter
    Jetta, Mahipal
    INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING, 2020, 11 (04)
  • [22] 0.279 nW fourth-order filter circuit for biological signal conditioning
    Thakur, Diksha
    Sharma, Kulbhushan
    AIP ADVANCES, 2024, 14 (06)
  • [23] A Numerical Method Based on Leapfrog and a Fourth-Order Implicit Time Filter
    Moustaoui, Mohamed
    Mahalov, Alex
    Kostelich, Eric J.
    MONTHLY WEATHER REVIEW, 2014, 142 (07) : 2545 - 2560
  • [24] A Fourth-Order Tensorial Wiener Filter Using the Conjugate Gradient Method
    Dogariu, Laura-Maria
    Costea, Ruxandra-Liana
    Paleologu, Constantin
    Benesty, Jacob
    SYMMETRY-BASEL, 2024, 16 (11):
  • [25] Modular Design of a Fourth-Order Waveguide Bandpass Filter With High Selectivity
    Chen, Longji
    Guo, Zai-Cheng
    Zhang, Gang
    PROCEEDINGS OF THE 2021 CROSS STRAIT RADIO SCIENCE AND WIRELESS TECHNOLOGY CONFERENCE (CSRSWTC), 2021, : 348 - 350
  • [26] Modular Optimization of a Fourth-Order Waveguide Filter With Parallel Coupling Paths
    Guo, Zai-Cheng
    Chen, Longji
    Wu, Liye
    Zhu, Lei
    IEEE TRANSACTIONS ON PLASMA SCIENCE, 2023, 51 (07) : 2093 - 2097
  • [27] 0.5-V Fourth-Order Low-Pass Filter
    Kumngern, Montree
    Klangthan, Komsan
    PROCEEDINGS OF THE 2017 2ND INTERNATIONAL CONFERENCE ON AUTOMATION, COGNITIVE SCIENCE, OPTICS, MICRO ELECTRO-MECHANICAL SYSTEM, AND INFORMATION TECHNOLOGY (ICACOMIT), 2017, : 119 - 122
  • [28] Design of a fourth-order continuous-time filter for UWB receivers
    Zhu, Xi
    Moritz, James
    Sun, Yichuang
    2007 NORCHIP, 2007, : 190 - 193
  • [29] A Class of Fourth-Order Telegraph-Diffusion Equations for Image Restoration
    Zeng, Weili
    Lu, Xiaobo
    Tan, Xianghua
    JOURNAL OF APPLIED MATHEMATICS, 2011,
  • [30] Fourth-order inverse filter configuration using current differencing buffered amplifier
    Ghosh, Mourina
    Mondal, Pulak
    Kumar, Santosh
    INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2024, 37 (03)
12345