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2016 | OriginalPaper | Buchkapitel

An Adaptive Edge-Preserving Image Denoising Using Block-Based Singular Value Decomposition in Wavelet Domain

verfasst von : Paras Jain, Vipin Tyagi

Erschienen in: Proceedings of the International Congress on Information and Communication Technology

Verlag: Springer Singapore

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Abstract

Image denoising is a quite active research area in the domain of image processing. The essential requirement for a good denoising method is to preserve significant image structures (e.g., edges) after denoising. Wavelet transforms and singular value decomposition (SVD) have been independently used to achieve edge-preserving denoising results for natural images. Numerous denoising algorithms have utilized these two techniques independently. In this paper, a novel technique for edge-preserving image denoising, which combines wavelet transforms and SVD, is proposed. It is adaptive to the inhomogeneous nature of natural images. The multiresolution representation of the corrupted image in wavelet domain is obtained through the application of a discrete wavelet transform to it. A block-SVD based edge-adaptive thresholding scheme which relies on estimation of noise level is employed to reduce the noise contents while preserving significant details of the original version. Comparison of the experimental results with other state-of-the-art methods reveals the fact that the proposed approach achieves very impressive gain in denoising performance.

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Literatur
1.
Zurück zum Zitat Gonzalez, R.C., Woods, R.E.: Digital image processing. Prentice-Hall, Upper Saddle River (2008). Gonzalez, R.C., Woods, R.E.: Digital image processing. Prentice-Hall, Upper Saddle River (2008).
2.
Zurück zum Zitat Shapiro, L., Stockman, G.: Computer Vision. Prentice Hall (2001). Shapiro, L., Stockman, G.: Computer Vision. Prentice Hall (2001).
3.
Zurück zum Zitat Jain, P., Tyagi, V.: Spatial and frequency domain filters for restoration of noisy images. IETE Journal of Education 54(2), 108–116 (2013). Jain, P., Tyagi, V.: Spatial and frequency domain filters for restoration of noisy images. IETE Journal of Education 54(2), 108–116 (2013).
5.
Zurück zum Zitat Donoho, D.L., Johnstone, I. M.: Ideal spatial adaptation via wavelet shrinkage. Biometrika 81, 425–455 (1994). Donoho, D.L., Johnstone, I. M.: Ideal spatial adaptation via wavelet shrinkage. Biometrika 81, 425–455 (1994).
6.
Zurück zum Zitat Donoho, D.L., Johnstone, I. M.: Adapting to unknown smoothness via wavelet shrinkage. Journal of the American Statistical Association 90(432), 1200–1224 (1995). Donoho, D.L., Johnstone, I. M.: Adapting to unknown smoothness via wavelet shrinkage. Journal of the American Statistical Association 90(432), 1200–1224 (1995).
7.
Zurück zum Zitat Chipman, H., Kolaczyk, E., McCulloc, R.: Adaptive Bayesian wavelet shrinkage. Journal of the American Statistical Association 440(92), 1413–1421 (1997). Chipman, H., Kolaczyk, E., McCulloc, R.: Adaptive Bayesian wavelet shrinkage. Journal of the American Statistical Association 440(92), 1413–1421 (1997).
8.
Zurück zum Zitat Chang, S., Yu, B., Vetterli, M.: Adaptive wavelet thresholding for image denoising and compression. IEEE Transactions on Image Processing 9(9), 1532–1546 (2000). Chang, S., Yu, B., Vetterli, M.: Adaptive wavelet thresholding for image denoising and compression. IEEE Transactions on Image Processing 9(9), 1532–1546 (2000).
9.
Zurück zum Zitat Donoho, D.L.: De-noising by soft-thresholding. IEEE Transactions on Information Theory 41(3), 613–627 (1995). Donoho, D.L.: De-noising by soft-thresholding. IEEE Transactions on Information Theory 41(3), 613–627 (1995).
10.
Zurück zum Zitat Sendur, L., Selesnick, I. W.: Bivariate shrinkage with local variance estimation. IEEE Signal Processing Letters 9(12), 438–441 (2002). Sendur, L., Selesnick, I. W.: Bivariate shrinkage with local variance estimation. IEEE Signal Processing Letters 9(12), 438–441 (2002).
11.
Zurück zum Zitat Blu, T., Luisier, F.: The SURE-LET approach to image denoising. IEEE Transactions on Image Processing 16(11), 2778–2786 (2007). Blu, T., Luisier, F.: The SURE-LET approach to image denoising. IEEE Transactions on Image Processing 16(11), 2778–2786 (2007).
12.
Zurück zum Zitat Chang, S., Yu, B., Vetterli, M.: Spatially adaptive wavelet thresholding based on context modeling for image denoising. IEEE Transactions on Image Processing 9(9), 1522–1531 (2000). Chang, S., Yu, B., Vetterli, M.: Spatially adaptive wavelet thresholding based on context modeling for image denoising. IEEE Transactions on Image Processing 9(9), 1522–1531 (2000).
13.
Zurück zum Zitat Jain, P., Tyagi, V.: An adaptive edge-preserving image denoising technique using tetrolet transforms. The Visual Computer 31(5), 657–674 (2015). Jain, P., Tyagi, V.: An adaptive edge-preserving image denoising technique using tetrolet transforms. The Visual Computer 31(5), 657–674 (2015).
14.
Zurück zum Zitat Jain, P., Tyagi, V.: LAPB: Locally adaptive patch-based wavelet domain edge-preserving image denoising. Information Sciences, 294, 164–181 (2015). Jain, P., Tyagi, V.: LAPB: Locally adaptive patch-based wavelet domain edge-preserving image denoising. Information Sciences, 294, 164–181 (2015).
15.
Zurück zum Zitat Jain, P., Tyagi, V.: An adaptive edge-preserving image denoising using epsilon-median filtering in tetrolet domain. Advances in Intelligent Systems and Computing 337, 393–400 (2015). Jain, P., Tyagi, V.: An adaptive edge-preserving image denoising using epsilon-median filtering in tetrolet domain. Advances in Intelligent Systems and Computing 337, 393–400 (2015).
16.
Zurück zum Zitat Jain, P., Tyagi, V.: An adaptive edge-preserving image denoising using arbitrarily shaped local windows in wavelet domain. International Journal of Computer Applications 114(15), 33–45 (2015). Jain, P., Tyagi, V.: An adaptive edge-preserving image denoising using arbitrarily shaped local windows in wavelet domain. International Journal of Computer Applications 114(15), 33–45 (2015).
17.
Zurück zum Zitat Hou, Z.: Adaptive singular value decomposition in wavelet domain for image denoising. Pattern Recognition 36, 1747–1763 (2003). Hou, Z.: Adaptive singular value decomposition in wavelet domain for image denoising. Pattern Recognition 36, 1747–1763 (2003).
18.
Zurück zum Zitat Acton, S.T., Bovik, A. C.: Nonlinear image estimation using piecewise and local image models. IEEE Transaction on Image Processing 7, 979–991 (1998). Acton, S.T., Bovik, A. C.: Nonlinear image estimation using piecewise and local image models. IEEE Transaction on Image Processing 7, 979–991 (1998).
19.
Zurück zum Zitat Golub, G. H., Van Loan C. F.: Matrix Computations. Baltimore MD John Hopkins University Press (1983). Golub, G. H., Van Loan C. F.: Matrix Computations. Baltimore MD John Hopkins University Press (1983).
21.
Zurück zum Zitat Nason, G. P., Silverman, B. W.: The stationary wavelet transform and some statistical applications. In lecture notes in statistics: wavelets and statistics, Springer-Verlag, Berlin, 281–300 (1995). Nason, G. P., Silverman, B. W.: The stationary wavelet transform and some statistical applications. In lecture notes in statistics: wavelets and statistics, Springer-Verlag, Berlin, 281–300 (1995).
22.
Zurück zum Zitat Wang, Z., Bovik, A., Sheikh, H., Simoncelli, E.: Image quality assessment: from error visibility to structural similarity. IEEE Transactions on Image Processing 13(4), 600–612 (2004). Wang, Z., Bovik, A., Sheikh, H., Simoncelli, E.: Image quality assessment: from error visibility to structural similarity. IEEE Transactions on Image Processing 13(4), 600–612 (2004).
Metadaten
Titel
An Adaptive Edge-Preserving Image Denoising Using Block-Based Singular Value Decomposition in Wavelet Domain
verfasst von
Paras Jain
Vipin Tyagi
Copyright-Jahr
2016
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-0755-2_3

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