Abstract
This paper presents a novel image denoising framework using overcomplete topographic model. To adapt to the statistics of natural images, we impose sparseness constraints on the denoising model. Based on the overcomplete topographic model, our denoising system improves over previous work on the following aspects: multi-category based sparse coding, adaptive learning, local normalization, and shrinkage function. A large number of simulations have been performed to show the performance of the modified model, demonstrating that the proposed model achieves better denoising performance.
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References
Elad, M., Aharon, M.: Image denoising via sparse and redundant representations over learned dictionaries. IEEE Transactions on Image Processing 15(12), 3736–3745 (2006)
Pati, Y., Rezaiifar, R., Krishnaprasad, P.: Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition. In: Conference Record of The Twenty-Seventh Asilomar Conference on Signals, Systems and Computers, vol. 1, pp. 40–44 (November 1993)
Aharon, M., Elad, M., Bruckstein, A.: k-svd: An algorithm for designing overcomplete dictionaries for sparse representation. IEEE Transactions on Signal Processing 54(11), 4311–4322 (2006)
Mairal, J., Bach, F., Ponce, J., Sapiro, G., Zisserman, A.: Non-local sparse models for image restoration. In: CVPR 2009, pp. 2272–2279 (October 2009)
Dabov, K., Foi, A., Katkovnik, V., Egiazarian, K., et al.: Bm3d image denoising with shape-adaptive principal component analysis. In: SPARS 2009 (2009)
Dong, W., Li, X., Zhang, L., Shi, G.: Sparsity-based image denoising via dictionary learning and structural clustering. In: CVPR 2011, pp. 457–464 (June 2011)
Zhao, H., Zhang, L.: Sparse coding image denoising based on saliency map weight. In: Lu, B.-L., Zhang, L., Kwok, J. (eds.) ICONIP 2011, Part II. LNCS, vol. 7063, pp. 308–315. Springer, Heidelberg (2011)
Ma, L., Zhang, L.: Overcomplete topographic independent component analysis. Neurocomputing 71(10), 2217–2223 (2008)
Hyvärinen, A., Hoyer, P., Oja, E.: Image denoising by sparse code shrinkage. In: Intelligent Signal Processing. IEEE Press (1999)
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Zhao, H., Luo, J., Huang, Z., Nagumo, T., Murayama, J., Zhang, L. (2013). Image Denoising Based on Overcomplete Topographic Sparse Coding. In: Lee, M., Hirose, A., Hou, ZG., Kil, R.M. (eds) Neural Information Processing. ICONIP 2013. Lecture Notes in Computer Science, vol 8228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-42051-1_34
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DOI: https://doi.org/10.1007/978-3-642-42051-1_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-42050-4
Online ISBN: 978-3-642-42051-1
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