Abstract
Sparse signal processing appears to be an emerging technology having certain application areas like denoising, deblurring, inpainting, etc. The dictionaries used in sparse signal processing are of much importance as they hold the basic patterns to retrieve the original image. A wide range of complete and overcomplete dictionaries are used for reconstruction of signals in the presence of noise. But no comparative study of these dictionaries is available in the literature till now for indexing their performance. Present work is devoted to carry out such a comparative study which would help in indexing the performance and effectiveness of the dictionaries in sparse signal reconstruction to reduce speckle noise. The results have been compared and analyzed with a set of standard test images.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Achim, A., Tsakalides, P., Bezerianos, A.: SAR image denoising via Bayesian wavelet shrinkage based on heavy-tailed modeling. IEEE Trans. Geosci. Remote Sens. 41, 1773–1784 (2003)
Aharon, M., Elad, M., Bruckstein, A.: k-svd: An algorithm for designing overcomplete dictionaries for sparse representation. IEEE Trans. Signal Process. 54(11), 4311–4322 (2006)
Buades, A., Bartomeu, C., Morel, J.-M.: A non-local algorithm for image denoising. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2005 (CVPR 2005), vol. 2, pp. 60-65. IEEE (2005)
Candes, E.J., Donoho, D.L.: Curvelets: a surprisingly effective nonadaptive representation for objects with edges. Department of Statistics, Stanford University, California (2000)
Daubechies, I.: The wavelet transform, time-frequency localization and signal analysis. IEEE Trans. Inf. Theor. 36(5), 961–1005 (1990)
Donoho, D.L.: De-noising by soft-thresholding. IEEE Trans. Inf. Theor. 41(3), 613–627 (1995)
Candes, E., Donoho, D.L.: Curvelets: a surprisingly effective nonadaptive representation for object with edges. In: Proceeding of Curves and Surfaces IV, pp. 105–121, France (1999)
Elad, M., Aharon, M.: Image denoising via sparse and redundant representations over learned dictionaries. IEEE Trans. Image Process. 15(12), 3736–3745 (2006)
Elad, Michael: Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing. Springer, London (2010)
Frost, Victor S., Stiles, Josephine Abbott, Sam Shanmugan, K., Holtzman, J.: A model for radar images and its application to adaptive digital filtering of multiplicative noise. IEEE Trans. Patt. Anal. Mac. Intell. 2, 157–166 (1982)
Gagnon, L., Alexandre, J.: Speckle filtering of SAR images: a comparative study between complex-wavelet-based and standard filters. In: Optical Science, Engineering and Instrumentation ’97, pp. 80–91. International Society for Optics and Photonics (1997)
Goodman, J.W.: Some fundamental properties of speckle. J. Opt. Soc. Am. 66(1145–1), 149 (1976)
Kuan, D.T., Sawchuk, A.A., Strand, T.C., Chavel, P.: Adaptive noise smoothing filter for images with signal-dependent noise. IEEE Trans. Patt. Anal. Mach. Intell. 2, 165–177 (1985)
Lee, J.-S.: Digital image enhancement and noise filtering by use of local statistics. IEEE Trans. Patt. Anal. Mach. Intell. 2, 165–168 (1980)
Rubinstein, R., Bruckstein, A.M., Elad, M.: Dictionaries for sparse representation modeling. Proc. IEEE 98(6), 1045–1057 (2010)
Lee, T.: Image representation using 2D Gabor wavelets. IEEE Trans. Patt. Anal. Mach. Intell. 18(10), 1–13 (2008)
Yu, Y.J., Action, S.T.: Speckle reducing anisotropic diffusion. IEEE Trans. Image Process. 11(11), 1260–1270 (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer India
About this paper
Cite this paper
Maiti, S., Kumar, A., Nandi, D. (2015). Sparse Denoising in Speckle Noise: A Comparative Study of Dictionaries. In: Mandal, D., Kar, R., Das, S., Panigrahi, B. (eds) Intelligent Computing and Applications. Advances in Intelligent Systems and Computing, vol 343. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2268-2_9
Download citation
DOI: https://doi.org/10.1007/978-81-322-2268-2_9
Published:
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2267-5
Online ISBN: 978-81-322-2268-2
eBook Packages: EngineeringEngineering (R0)