Seismic random noise suppression using an adaptive nonlocal means algorithm
Shang Shuai1, Han Li-Guo1, Lv Qing-Tian2, and Tan Chen-Qing1
1. College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China.
2. Chinese Academy of Geological Sciences, Beijing 100000, China.
Abstract Nonlocal means filtering is a noise attenuation method based on redundancies in image information. It is also a nonlocal denoising method that uses the self-similarity of an image, assuming that the valid structures of the image have a certain degree of repeatability that the random noise lacks. In this paper, we use nonlocal means filtering in seismic random noise suppression. To overcome the problems caused by expensive computational costs and improper filter parameters, this paper proposes a block-wise implementation of the nonlocal means method with adaptive filter parameter estimation. Tests with synthetic data and real 2D post-stack seismic data demonstrate that the proposed algorithm better preserves valid seismic information and has a higher accuracy when compared with traditional seismic denoising methods (e.g., f-x deconvolution), which is important for subsequent seismic processing and interpretation.
This work is supported by the National Natural Science Foundation of China (No.41074075), National Science and Technology Project (SinoProbe-03), National public industry special subject (No. 201011047-02), and Graduate Innovation Fund of Jilin University (No. 20121070).
Cite this article:
SHANG Shuai,HAN Li-Guo,吕Qing-Tian et al. Seismic random noise suppression using an adaptive nonlocal means algorithm[J]. APPLIED GEOPHYSICS, 2013, 10(1): 33-40.
[1]
Bednar, J. B., 1983, Applications of median filtering to deconvolution, pulse estimation, and statistical editing of seismic data: Geophysics, 48(12), 1598 - 1610.
[2]
Bonar, D., and Sacchi, M., 2012, Denoising seismic data using the nonlocal means algorithm: Geophysics, 77(1), A5 - A8.
[3]
Buades, A., Coll, B., and Morel, J. M., 2005, A non-local algorithm for image denoising: IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 60 - 65.
[4]
Buades, A., Coll, B., and Morel, J. M., 2005, A review of image denoising algorithms, with a new one: SIAM Journal on Multiscale Modeling and Simulation, 4(2), 490 - 530.
[5]
Buades, A., Coll, B., and Morel, J. M., 2008, Image and movie denoising by nonlocal means: IJCV, 76(2), 123 - 139.
[6]
Buades, A., Coll, B., and Morel, J. M., 2010, Image denoising methods. A new nonlocal principle: SIAM Review, 52(1), 113 - 147.
[7]
Canales, L. L., 1984, Random noise reduction: 54th Annual International Meeting, SEG, Expanded Abstracts, 525 - 527.
[8]
Coupé, P., Hellier, P., and Prima, S., et al., 2008, 3D wavelet subbands mixing for image denoising: Journal of Biomedical Imaging, 2008(3), 1 - 11.
[9]
Coupé, P., Yger, P., and Prima, S., et al., 2008, An optimized blockwise nonlocal means denoising filter for 3-D magnetic resonance images: IEEE Transactions on Medical Imaging, 27(4), 425 - 441.
[10]
Deledalle, C. A., Denis, L., and Tupin, F., 2011, Nl-insar:Nonlocal interferogram estimation: IEEE Transactions on Geoscience and Remote Sensing, 49(4), 1441 - 1452.
[11]
Efros, A. A., and Leung, T. K., 1999, Texture synthesis by non-parametric sampling: ICCV, 1033 - 1038.
[12]
Mahmoudi, M., and Sapiro, G., 2005, Fast image and video denoising via nonlocal means of similar neighborhoods: IEEE Signal Processing Letters, 12(12), 839 - 842.
[13]
Manjón, J. V., Coupé, P., and Bonmatí, M. L., et al., 2010, Adaptive non-local means denoising of MR images with spatially varying noise levels: Journal of Magnetic Resonance Imaging, 31(1), 192 - 203.
[14]
Neelamani, R., Baumstein, A. I., and Gillard, D. G., et al., 2008, Coherent and random noise attenuation using the curvelet transform: The Leading Edge, 27(2), 240 - 248.
[15]
Sheng, B., Li, P., and Sun, H., 2009, Image-Based Material Restyling with Fast Non-local Means Filtering: ICIG, 841 - 846.
[16]
Stewart, R. R., and Schieck, D. G., 1993, 3-D F-K filtering: Journal of Seismic Exploration, 2, 41 - 54.
[17]
Wang, J., Guo, Y., and Ying, Y., et al., 2006, Fast non-local algorithm for image denoising: IEEE International Conference on Image Processing, 1429 - 1432.