Two-stage image denoising by principal component analysis with local pixel grouping

Pattern Recognition

Volumn 43, Issue 4, 2010, Pages 1531-1549

  Zhang, Lei ^a   Dong, Weisheng ^a,b   Zhang, David ^a   Shi, Guangming ^b  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b XIDIAN UNIVERSITY   (China)

Author keywords

Denoising; Edge preservation; Principal component analysis (PCA)

Indexed keywords

BENCHMARK TESTS; BLOCK MATCHING; COEFFICIENT SHRINKAGE; DE-NOISING; DE-NOISING ALGORITHM; EDGE PRESERVATIONS; FINE STRUCTURES; IMAGE DE-NOISING; LOCAL FEATURE; LOCAL STATISTICS; LOCAL STRUCTURE; NEAREST NEIGHBORS; NOISE LEVELS; PCA DOMAIN; PCA METHOD; TRAINING SAMPLE; TWO STAGE;

EDGE DETECTION; IMAGE PROCESSING; PIXELS;

PRINCIPAL COMPONENT ANALYSIS;

EID: 74449091858     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2009.09.023     Document Type: Article

References (26)

1. Donoho D.L. De-noising by soft thresholding. IEEE Transactions on Information Theory 41 (1995) 613-627
2. Coifman R.R., and Donoho D.L. Translation-invariant de-noising. In: Antoniadis A., and Oppenheim G. (Eds). Wavelet and Statistics (1995), Springer, Berlin, Germany
3. Mi{dotless}hçak M.K., Kozintsev I., Ramchandran K., and Moulin P. Low-complexity image denoising based on statistical modeling of wavelet coefficients. IEEE Signal Processing Letters 6 12 (1999) 300-303
4. Chang S.G., Yu B., and Vetterli M. Spatially adaptive wavelet thresholding with context modeling for image denoising. IEEE Transaction on Image Processing 9 9 (2000) 1522-1531
5. Pizurica A., Philips W., Lamachieu I., and Acheroy M. A joint inter- and intrascale statistical model for Bayesian wavelet based image denoising. IEEE Transaction on Image Processing 11 5 (2002) 545-557
6. Zhang L., Paul B., and Wu X. Hybrid inter- and intra wavelet scale image restoration. Pattern Recognition 36 8 (2003) 1737-1746
7. Hou Z. Adaptive singular value decomposition in wavelet domain for image denoising. Pattern Recognition 36 8 (2003) 1747-1763
8. Portilla J., Strela V., Wainwright M.J., and Simoncelli E.P. Image denoising using scale mixtures of Gaussians in the wavelet domain. IEEE Transaction on Image Processing 12 11 (2003) 1338-1351
9. Zhang L., Bao P., and Wu X. Multiscale LMMSE-based image denoising with optimal wavelet selection. IEEE Transaction on Circuits and Systems for Video Technology 15 4 (2005) 469-481
10. Pizurica A., and Philips W. Estimating the probability of the presence of a signal of interest in multiresolution single- and multiband image denoising. IEEE Transaction on Image Processing 15 3 (2006) 654-665
11. Starck J.L., Candes E.J., and Donoho D.L. The curvelet transform for image denoising. IEEE Transaction on Image Processing 11 6 (2002) 670-684
12. Chen G.Y., and Kégl B. Image denoising with complex ridgelets. Pattern Recognition 40 2 (2007) 578-585
13. Elad M., and Aharon M. Image denoising via sparse and redundant representations over learned dictionaries. IEEE Transaction on Image Processing 15 12 (2006) 3736-3745
14. Aharon M., Elad M., and Bruckstein A.M. The K-SVD: an algorithm for designing of overcomplete dictionaries for sparse representation. IEEE Transaction on Signal Processing 54 11 (2006) 4311-4322
15. Foi A., Katkovnik V., and Egiazarian K. Pointwise shape-adaptive DCT for high-quality denoising and deblocking of grayscale and color images. IEEE Transaction on Image Processing 16 5 (2007)
16. C. Tomasi, R. Manduchi, Bilateral filtering for gray and colour images, in: Proceedings of the 1998 IEEE International Conference on Computer Vision, Bombay, India, 1998, pp. 839-846.
17. Barash D. A fundamental relationship between bilateral filtering, adaptive smoothing, and the nonlinear diffusion equation. IEEE Transaction on Pattern Analysis and Machine Intelligence 24 6 (2002) 844-847
18. Buades A., Coll B., and Morel J.M. A review of image denoising algorithms, with a new one. Multiscale Modeling Simulation 4 2 (2005) 490-530
19. Kervrann C., and Boulanger J. Optimal spatial adaptation for patch based image denoising. IEEE Transaction on Image Processing 15 10 (2006) 2866-2878
20. Dabov K., Foi A., Katkovnik V., and Egiazarian K. Image denoising by sparse 3D transform-domain collaborative filtering. IEEE Transaction on Image Processing 16 8 (2007) 2080-2095
21. D.D. Muresan, T.W. Parks, Adaptive principal components and image denoising, in: Proceedings of the 2003 International Conference on Image Processing, 14-17 September, vol. 1, 2003, pp. I101-I104.
22. Wang Z., Bovik A.C., Sheikh H.R., and Simoncelli E.P. Image quality assessment: from error visibility to structural similarity. IEEE Transaction on Image Processing 13 4 (2004)
23. Yaroslavsky L.P. Digital Signal Processing-An Introduction (1985), Springer, Berlin
24. Mallat S. A Wavelet Tour of Signal Processing (1998), Academic Press, New York
25. Gonzalez R.C., and Woods R.E. Digital Image Processing. second ed. (2002), Prentice-Hall, Englewood Cliffs, NJ
26. Fukunaga K. Introduction to Statistical Pattern Recognition. second ed (1991), Academic Press, New York