Algorithm of Noise Reduction for Adaptive Dictionary Learning Research Based on Brain MRI Images

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Recent years, the image sparse representation has been the popular method in the study of image representation, which has put forward a new idea in the image denoising. Its basic principle is that the original image has the sparse representation under the proper over-complete dictionary. Filter out the noise, we should find out the sparse representation of the image through the design of the dictionary. Its mechanism is that one hand the useful information of the image would be effectively expressed because of the sparse decomposition algorithm based on the redundant dictionary. The other the noise would not be expressed through the dictionary atoms. We do the image denoising according to the image sparse representation. Because of the superiority of the adaptive dictionary algorithm in the image, in this paper, we discuss the over-complete dictionary training algorithm. And we prove the effectiveness through the MATLAB.

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4123-4127

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November 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] Mallat S and Zhang Z. Matching pursuit with time-frequency dictionaries. IEEE Transactions on Signal Processing, 1993, 41(12): 3397-3415.

DOI: 10.1109/78.258082

Google Scholar

[2] Michal Aharon, Michael Elad, Alfred Bruckstein. K-SVD: an algorithm for designing overcomplete dictionaries for sparse representation [J]. IEEE ransactions on Signal Processing. 2006, 54(11): 4311-4322.

DOI: 10.1109/tsp.2006.881199

Google Scholar

[3] Georgiev C G and Kozinarova G. Usefulness of satellite water vapors imagery in forecasting strong convection: a flash-flood case study [J]. Atmospheric Research, 2009, 93(1-3): 295–303.

DOI: 10.1016/j.atmosres.2008.09.036

Google Scholar

[4] Lee H, Battle A, Raina R and Ng A Y. Efficient sparse coding algorithms In Advances in Neural Information Processing Systems [J]. (NIPS) 2007: 801–808.

DOI: 10.7551/mitpress/7503.003.0105

Google Scholar

[5] Li F, Jia X P, Fraser D and Lambert A. Super resolution for remote sensing images based on a universal Hidden Markov Tree model[J]. IEEE Transactions on Geoscience and Remote Sensing. 2010, 48(3): 1270–1278.

DOI: 10.1109/tgrs.2009.2031636

Google Scholar