A Unified Framework for the Restoration of Images Corrupted by Additive White Noise

被引:2
|
作者
Lanza, Alessandro [1 ]
Sciacchitano, Federica [2 ]
Morigi, Serena [1 ]
Sgallari, Fiorella [1 ]
机构
[1] Univ Bologna, Dept Math, Bologna, Italy
[2] Univ Genoa, Dept Math, Genoa, Italy
关键词
Variational image restoration; Additive white noise; Total Variation; Non-convex non-smooth optimization; ADMM; VARIATIONAL APPROACH; REGULARIZATION; MODEL;
D O I
10.1007/978-3-319-58771-4_40
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We propose a robust variational model for the restoration of images corrupted by blur and the general class of additive white noises. The solution of the non-trivial optimization problem, due to the non-smooth non-convex proposed model, is efficiently obtained by an Alternating Directions Method of Multipliers (ADMM), which in particular reduces the solution to a sequence of convex optimization sub-problems. Numerical results show the potentiality of the proposed model for restoring blurred images corrupted by several kinds of additive white noises.
引用
收藏
页码:498 / 510
页数:13
相关论文
共 50 条
  • [1] Restoration of images corrupted by additive non-Gaussian noise
    Dalla Mora, M
    Germani, A
    Nardecchia, A
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (07): : 859 - 875
  • [2] Restoration of impulse noise corrupted images based on gradients
    Zhang, S
    Karim, MA
    APPLICATIONS OF DIGITAL IMAGE PROCESSING XXIII, 2000, 4115 : 727 - 733
  • [3] Restoration of images corrupted by Gaussian and uniform impulsive noise
    Lopez-Rubio, Ezequiel
    PATTERN RECOGNITION, 2010, 43 (05) : 1835 - 1846
  • [4] Efficient Restoration Method for Images Corrupted with Impulse Noise
    Ramadan, Zayed M.
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2012, 31 (04) : 1397 - 1406
  • [5] Efficient Restoration Method for Images Corrupted with Impulse Noise
    Zayed M. Ramadan
    Circuits, Systems, and Signal Processing, 2012, 31 : 1397 - 1406
  • [6] An Efficient Restoration Algorithm for Images Corrupted with Salt and Pepper Noise
    Xu, Guangyu
    Lin, Yu'e
    2016 9TH INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING, BIOMEDICAL ENGINEERING AND INFORMATICS (CISP-BMEI 2016), 2016, : 184 - 188
  • [7] Restoration of images corrupted by multiplicative noise in the nonsubsampled contourlet domain
    Argenti, Fabrizio
    Bianchi, Tiziano
    di Scarfizzi, Giovanni Martucci
    Alparone, Luciano
    2008 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-12, 2008, : 913 - 916
  • [8] Filtration of images with constant brightness areas corrupted by additive noise
    Vyshnevyi, Serhii
    2020 IEEE 40TH INTERNATIONAL CONFERENCE ON ELECTRONICS AND NANOTECHNOLOGY (ELNANO), 2020, : 714 - 718
  • [9] Fuzzy approach for restoring color images corrupted with additive noise
    Wilscy, M.
    Nair, Madhu S.
    WORLD CONGRESS ON ENGINEERING 2008, VOLS I-II, 2008, : 637 - +
  • [10] Adaptive noise removal approach for restoration of digital images corrupted by multimodal noise
    Ghita, O.
    Ilea, D. E.
    Whelan, P. F.
    IET IMAGE PROCESSING, 2012, 6 (08) : 1148 - 1160