Abstract
In this paper, we propose a new method for image denoising. We use block matching 3D filtering (BM3D) to denoise the noisy image, and then denoise the noisy residual and merge this denoised residual into the denoised image. We can perform another BM3D to this merged image if the noise-level is still higher than a threshold. Our method performs similarly as the BM3D for Gaussian white noise, and it outperforms the BM3D, Poisson-Gaussian BM3D (PGBM3D), and Bivariate shrinking (BivShrink) for nearly all cases in our experiments for signal dependent noise. The method does not assume the noise to be Gaussian alone, and it works well for a mixture of Gaussian and signal-dependent noise. However, the computational complexity of the new method is twice and at most three-times that of the standard BM3D for image denoising.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Fathi, A., Naghsh-Nilchi, A.R.: Efficient image denoising method based on a new adaptive wavelet packet thresholding function. IEEE Transactions on Image Processing 21, 3981–3990 (2012)
Chatterjee, P., Milanfar, P.: Patch-based near-optimal image denoising. IEEE Transactions on Image Processing 21, 1635–1649 (2012)
Rajwade, A., Rangarajan, A., Banerje, A.: Image denoising using the higher order singular value decomposition. IEEE Transactions on Pattern Analysis and Machine Intelligence 35, 849–862 (2013)
Motta, G., Ordentlich, E., Ramirez, I., Seroussi, G., Weinberger, M., J.: The iDUDE framework for grayscale image denoising. IEEE Transactions on Image Processing 20 (2011)
Miller, M., Kingsburg, N.: Image denoising using derotated complex wavelet coefficients. IEEE Transactions on Image Processing 17, 1500–1511 (2008)
Sendur, L., Selesnick, J.W.: Bivariate shrinkage with local variance estimation. IEEE Signal Processing Letters 9, 438–441 (2002)
Dabov, K., Foi, A., Katkovnik, V., Egiazarian, K.: Image denoising by sparse 3D transform-domain collaborative filtering. IEEE Transactions on Image Processing 16, 2080–2095 (2007)
Mäkitalo, M., Foi, A.: Optimal inversion of the generalized Anscombe transformation for Poisson-Gaussian noise. IEEE Transactions on Image Processing 22, 91–103 (2013)
Chen, G.Y., Kegl, B.: Image denoising with complex ridgelets. Pattern Recognition 40, 578–585 (2007)
Chen, G.Y., Zhu, W.P., Xie, W.F.: Wavelet-based image denoising using three scales of dependency. IET Image Processing 6, 756–760 (2012)
Chen, G.Y., Bui, T.D., Krzyzak, A.: Image denoising using neighbouring wavelet coefficients. Integrated Computer-Aided Engineering 12, 99–107 (2005)
Chen, G.Y., Bui, T.D., Krzyzak, A.: Image denoising with neighbour dependency and customized wavelet and threshold. Pattern Recognition 38, 115–124 (2005)
Cho, D., Bui, T.D.: Multivariate statistical modeling for image denoising using wavelet transforms. Signal Processing: Image Communication 20, 77–89 (2005)
Cho, D., Bui, T.D., Chen, G.Y.: Image denoising based on wavelet shrinkage using neighbour and level dependency. International Journal of Wavelets, Multiresolution and Information Processing 7, 299–311 (2009)
Hirakawa, K., Parks, T.W.: Image Denoising For Signal-Dependent Noise. In: ICASSP 2005, pp. 29–32 (2005)
Bosco, A., Bruna, R.A., Giacalone, D., Battiato, S., Rizzo, R.: Signal-dependent raw image denoising using sensor noise characterization via multiple acquisitions, Digital Photography VI. In: Imai, F., Sampat, N., Xiao, F. (eds.) Proceedings of the SPIE, vol. 7537, article id. 753705 (2010)
Goossens, B., Pizurica, A., Philips, W.: Wavelet domain image denoising for non-stationary noise and signal-dependent noise. In: ICIP, pp. 1425–1428 (2006)
Donoho, D.L., Johnstone, I.M.: Ideal spatial adaptation by wavelet shrinkage. Biometrika 81, 425–455 (1994)
Lebrun, M.: An Analysis and Implementation of the BM3D Image Denoising Method. Image Processing On Line (2012). http://dx.doi.org/10.5201/ipol.2012.l-bm3d
Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: From error visibility to structural similarity. IEEE Transactions on Image Processing 13, 600–612 (2004)
Sheikh, H.R., Bovik, A.C.: Image information and visual quality. IEEE Transactions on Image Processing 15, 430–444 (2006)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Chen, G., Xie, W., Dai, S. (2014). Image Denoising with Signal Dependent Noise Using Block Matching and 3D Filtering. In: Zeng, Z., Li, Y., King, I. (eds) Advances in Neural Networks – ISNN 2014. ISNN 2014. Lecture Notes in Computer Science(), vol 8866. Springer, Cham. https://doi.org/10.1007/978-3-319-12436-0_47
Download citation
DOI: https://doi.org/10.1007/978-3-319-12436-0_47
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-12435-3
Online ISBN: 978-3-319-12436-0
eBook Packages: Computer ScienceComputer Science (R0)