Abstract
We propose a novel modification to patch matching in block matching and 3D filtering (BM3D), which is the state-of-the-art in image denoising. The BM3D calculates the distance between two patches by taking the sum of square of the pixel difference. However, when the noise level is very high, this patch matching technique will be less effective. It is well known that Radon transform is very good at suppressing Gaussian white noise and hence in this paper we use it to extract robust features from the two patches for patch matching in BM3D. Experimental results confirm the effectiveness of our proposed modification to BM3D for image denoising in heavily noisy scenarios.
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
Sendur, L., Selesnick, I.W.: Bivariate shrinkage with local variance estimation. IEEE Sig. Process. Lett. 9(12), 438–441 (2002)
Chen, G.Y., Kegl, B.: Image denoising with complex ridgelets. Pattern Recogn. 40(2), 578–585 (2007)
Kingsbury, N.G.: Complex wavelets for shift invariant analysis and filtering of signals. J. Appl. Comput. Harmonic Ana. 10(3), 234–253 (2001)
Rajwade, A., Rangarajan, A., Banerjee, A.: Image denoising using the higher order singular value decomposition. IEEE Trans. Pattern Anal. Mach. Intell. 35(4), 849–862 (2013)
Dabov, K., Foi, A., Katkovnik, V., Egiazarian, K.: Image denoising by sparse 3D transform-domain collaborative filtering. IEEE Trans. Image Process. 16(8), 2080–2095 (2007)
Fathi, A., Naghsh-Nilchi, A.R.: Efficient image denoising method based on a new adaptive wavelet packet thresholding function. IEEE Trans. Image Process. 21(9), 3981–3990 (2012)
Chatterjee, P., Milanfar, P.: Patch-based near-optimal image denoising. IEEE Trans. Image Process. 21(9), 1635–1649 (2012)
Kelley, B.T., Madisetti, V.K.: The discrete Radon transform: Part I - theory. IEEE Trans. Image Process. 2(3), 382–400 (1993)
Lebrun, M.: An analysis and implementation of the BM3D image denoising method. Image Process. On Line 2, 175–213 (2012). http://dx.doi.org/10.5201/ipol.2012.l-bm3d
Donoho, D.L., Johnstone, I.M.: Ideal spatial adaptation by wavelet shrinkage. Biometrika 81(3), 425–455 (1994)
Chen, G., Xie, W., Dai, S.-L.: Images denoising with feature extraction for patch matching in block matching and 3D filtering. In: Huang, D.-S., Bevilacqua, V., Premaratne, P. (eds.) ICIC 2014. LNCS, vol. 8588, pp. 398–406. Springer, Heidelberg (2014)
Kinaus, K., Zwicker, M.: Progressive image denoising. IEEE Trans. Image Process. 23(7), 3114–3125 (2014)
Talebi, H., Milanfa, P.: Global image denosing. IEEE Trans. Image Process. 23(2), 755–768 (2014)
Zuo, W., Zhang, L., Song, X., Zhang, D.: Gradient histogram estimation and preservation for texture enhanced image denoising. IEEE Trans. Image Process. 23(6), 2459–2472 (2014)
Fathi, A., Naghsh-Nihchi, A.R.: Efficient image denoising method based on a new adaptive wavelet packet thresholding function. IEEE Trans. Image Process. 21(9), 3981–3990 (2012)
Cho, D., Bui, T.D., Chen, G.Y.: Image denoising based on wavelet shrinkage using neighbour and level dependency. Int. J. Wavelets Multiresolut. Inf. Process. 7(3), 299–311 (2009)
Chen, G.Y., Bui, T.D., Krzyzak, A.: Image denoising using neighbouring wavelet coefficients. Integr. Comput.-Aided Eng. 12(1), 99–107 (2005)
Elad, M., Aharon, M.: Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries. IEEE Trans. Image Process. 15(12), 3736–3745 (2006)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Chen, G.Y., Xie, W.F. (2016). Feature Extraction with Radon Transform for Block Matching and 3D Filtering. In: Huang, DS., Jo, KH. (eds) Intelligent Computing Theories and Application. ICIC 2016. Lecture Notes in Computer Science(), vol 9772. Springer, Cham. https://doi.org/10.1007/978-3-319-42294-7_36
Download citation
DOI: https://doi.org/10.1007/978-3-319-42294-7_36
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-42293-0
Online ISBN: 978-3-319-42294-7
eBook Packages: Computer ScienceComputer Science (R0)