Deblurring of Poissonian images using BM3D frames

被引:8
作者
Danielyan, Aram [1 ]
Katkovnik, Vladimir [1 ]
Egiazarian, Karen [1 ]
机构
[1] Tampere Univ Technol, Dept Signal Proc, FIN-33101 Tampere, Finland
来源
WAVELETS AND SPARSITY XIV | 2011年 / 8138卷
关键词
image reconstruction; sparsity; generalized Nash equilibrium; non-tight frames;
D O I
10.1117/12.893747
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We propose a novel deblurring algorithm for Poissonian images. The algorithm uses data adaptive BM3D-frames for sparse image modeling. Reconstruction is formulated as a generalized Nash equilibrium problem, seeking a balance between the data fit and the complexity of the solution. Simulated experiments demonstrate numerical and visual superiority of the proposed algorithm over the current state-of-the-art methods.
引用
收藏
页数:7
相关论文
共 7 条
[1]  
Boccacci P., 1998, INTRO INVERSE PROBLE
[2]   Image denoising by sparse 3-D transform-domain collaborative filtering [J].
Dabov, Kostadin ;
Foi, Alessandro ;
Katkovnik, Vladimir ;
Egiazarian, Karen .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2007, 16 (08) :2080-2095
[3]  
Danielyan A., IMAGE PROCE IN PRESS
[4]   A Proximal Iteration for Deconvolving Poisson Noisy Images Using Sparse Representations [J].
Dupe, Francois-Xavier ;
Fadili, Jalal M. ;
Starck, Jean-Luc .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2009, 18 (02) :310-321
[5]   Restoration of Poissonian Images Using Alternating Direction Optimization [J].
Figueiredo, Mario A. T. ;
Bioucas-Dias, Jose M. .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2010, 19 (12) :3133-3145
[6]  
Foi A., 2005, P IEEE INT C IM PROC, V1, pI
[7]   From Local Kernel to Nonlocal Multiple-Model Image Denoising [J].
Katkovnik, Vladimir ;
Foi, Alessandro ;
Egiazarian, Karen ;
Astola, Jaakko .
INTERNATIONAL JOURNAL OF COMPUTER VISION, 2010, 86 (01) :1-32