NON RIGID GEOMETRIC DISTORTIONS CORRECTION - APPLICATION TO ATMOSPHERIC TURBULENCE STABILIZATION

被引:49
作者
Mao, Yu [1 ]
Gilles, Jerome [2 ]
机构
[1] Univ Minnesota, Inst Math & Its Applicat, Minneapolis, MN 55455 USA
[2] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
关键词
Turbulence restoration; nonlocal total variation; optical flow; Bregman iterations; IMAGE; BLIND; REGULARIZATION; CONVERGENCE;
D O I
10.3934/ipi.2012.6.531
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A novel approach is presented to recover an image degraded by atmospheric turbulence. Given a sequence of frames affected by turbulence, we construct a variational model to characterize the static image. The optimization problem is solved by Bregman Iteration and the operator splitting method. Our algorithm is simple, efficient, and can be easily generalized for different scenarios.
引用
收藏
页码:531 / 546
页数:16
相关论文
共 30 条
[1]   Blind and Semi-Blind Deblurring of Natural Images [J].
Almeida, Mariana S. C. ;
Almeida, Luis B. .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2010, 19 (01) :36-52
[2]  
Aubailly M., 2009, Proc. of SPIE, V7463
[3]   The robust estimation of multiple motions: Parametric and piecewise-smooth flow fields [J].
Black, MJ ;
Anandan, P .
COMPUTER VISION AND IMAGE UNDERSTANDING, 1996, 63 (01) :75-104
[4]  
Bouguet J-Y, 1999, PYRAMIDAL IMPLEMENTA
[5]   A review of image denoising algorithms, with a new one [J].
Buades, A ;
Coll, B ;
Morel, JM .
MULTISCALE MODELING & SIMULATION, 2005, 4 (02) :490-530
[6]   SPLIT BREGMAN METHODS AND FRAME BASED IMAGE RESTORATION [J].
Cai, Jian-Feng ;
Osher, Stanley ;
Shen, Zuowei .
MULTISCALE MODELING & SIMULATION, 2009, 8 (02) :337-369
[7]   Linearized Bregman Iterations for Frame-Based Image Deblurring [J].
Cai, Jian-Feng ;
Osher, Stanley ;
Shen, Zuowei .
SIAM JOURNAL ON IMAGING SCIENCES, 2009, 2 (01) :226-252
[8]   Simultaneous total variation image inpainting and blind deconvolution [J].
Chan, TF ;
Yip, AM ;
Park, FE .
INTERNATIONAL JOURNAL OF IMAGING SYSTEMS AND TECHNOLOGY, 2005, 15 (01) :92-102
[9]   Convergence of the alternating minimization algorithm for blind deconvolution [J].
Chan, TF ;
Wong, CK .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 316 (1-3) :259-285
[10]   Signal recovery by proximal forward-backward splitting [J].
Combettes, PL ;
Wajs, VR .
MULTISCALE MODELING & SIMULATION, 2005, 4 (04) :1168-1200