FUNDAMENTAL LIMITS OF IMAGE DENOISING: ARE WE THERE YET?

被引:6
作者
Chatterjee, Priyam [1 ]
Milanfar, Peyman [1 ]
机构
[1] Univ Calif Santa Cruz, Dept Elect Engn, Santa Cruz, CA 95064 USA
来源
2010 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING | 2010年
关键词
Image denoising; estimation; Bayesian Cramer-Rao lower bound; mean squared error; LEARNED DICTIONARIES; SPARSE;
D O I
10.1109/ICASSP.2010.5495447
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this paper, we study the fundamental performance limits of image denoising where the aim is to recover the original image from its noisy observation. Our study is based on a general class of estimators whose bias can be modeled to be affine. A bound on the performance in terms of mean squared error (MSE) of the recovered image is derived in a Bayesian framework. In this work, we assume that the original image is available, from which we learn the image statistics. Performances of some current state-of-the-art methods are compared to our MSE bounds for some commonly used experimental images. These show that some gain in denoising performance is yet to be achieved.
引用
收藏
页码:1358 / 1361
页数:4
相关论文
共 14 条
[1]  
[Anonymous], 2007, Bayesian Bounds for Parameter Estimation and Nonlinear Filtering/Tracking, DOI [DOI 10.1109/9780470544198.CH39, 10.1109/9780470544198.ch39]
[2]  
[Anonymous], 1993, ESIMATION THEORY
[3]   A Lower Bound on the Bayesian MSE Based on the Optimal Bias Function [J].
Ben-Haim, Zvika ;
Eldar, Yonina C. .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2009, 55 (11) :5179-5196
[4]  
CHATTERJEE P, 2009, P 43 AS C SIGN SYST
[5]  
Chatterjee P., IEEE T IMAG IN PRESS
[6]   Clustering-Based Denoising With Locally Learned Dictionaries [J].
Chatterjee, Priyam ;
Milanfar, Peyman .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2009, 18 (07) :1438-1451
[7]   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
[8]   1977 RIETZ LECTURE - BOOTSTRAP METHODS - ANOTHER LOOK AT THE JACKKNIFE [J].
EFRON, B .
ANNALS OF STATISTICS, 1979, 7 (01) :1-26
[9]   Image denoising via sparse and redundant representations over learned dictionaries [J].
Elad, Michael ;
Aharon, Michal .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2006, 15 (12) :3736-3745
[10]   MSE bounds with affine bias dominating the Cramer-Rao bound [J].
Eldar, Yonina C. .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2008, 56 (08) :3824-3836