Abstract
In this paper, we propose a novel Scale Noise Level Estimation method based on Double-Density Dual Tree Complex Wavelet Transform (DD_DTCWT), which is referred to as DD_DTCWT_SNLE, to take the advantage of the correlation between the noise and noisy coefficients of DD_DTCWT. The novel DD_DTCWT_SNLE method is formulated through both theoretical analysis and numerical simulation, and is applied into three different threshold de-noising schemes respectively. Simulation results show that there is an approximate linear relation between DD_DTCWT_SNLE and the noise level and that DD_DTCWT_SNLE can reflect the noise level of coefficients in each layer more accurately. The proposed method outperforms the bivariate shrinkage algorithm and a gain of 0.8 dB in PSNR is obtained when compared to other DD_DTCWT based algorithms. We also show the universal applicability of our DD_DTCWT_SNLE for multi-scale linear operators, and its usage as a noise level estimator for all the other linear multi-scale decomposition coefficients.
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References
Kingsbury, N.G.: The dual-tree complex wavelet transform: a new technique for shift invariance and directional filters. In: IEEE Digital Signal Processing Workshop, DSP 1998, Bryce Canyon, paper No. 86 (August 1998)
Selesnick, I.W.: The double-density dual-tree DWT. IEEE Trans. on Signal Processing 52(5), 1304–1314 (2004)
Selesnick, I.W., Baraniuk, R.G., Kingsbury, N.: The dual-tree complex wavelet transform - A coherent framework for multiscale signal and image processing. IEEE Signal Processing Magazine 22(6), 123–151 (2005)
Guo, W., Zhang, P., Chen, X., Zhu, L.: Research on Synthetic Aperture Radar Image Denoising with Double Density Dual Tree Complex Wavelet Transform. Acta Electronica Sinica 37(12), 2748–2752 (2009) (in Chinese)
Rizi, F.Y., Noubari, H.A., Setarehdan, S.K.: Wavelet-based ultrasound image denoising: Performance analysis and comparison. In: 33rd Annual International Conference of the IEEE EMBS, Boston, Massachusetts, USA, pp. 3917–3920 (August 2011)
Xu, W.L., Shen, M.F., Fang, R.Y.: Speckle Reduction for SAR Image Using Edge Directions in Complex Wavelet Domain. Signal Processing 27(8), 1179–1183 (2011) (in Chinese)
Donoho, D.L., Johnstone, I.M.: Ideal spatial adaptation by wavelet shrinkage. Biometrika 81(3), 425–455 (1994)
Donoho, D.L.: De-noising by thresholding. IEEE Trans. on Information Theory 41, 613–627 (1995)
Levent, S., Ivan, W.S.: Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency. IEEE Trans. on Signal Processing 50(11), 2744–2756 (2002)
Xiao, H.Z., Yan, J.W., Qu, X.B.: A Novel Video Denoising Method with 3D Context Model Based on Surfacelet Transform. Acta Electronica Sinica 36(7), 1460–1464, 1440 (2008) (in Chinese)
Gong, W.G., Liu, X.Y., Li, W.H., et al.: Optics and Precision Engineering 17(5), 1171–1180 (2009) (in Chinese)
Gupta, N., Swamy, M.N.S., Plotkin, E.I.: Video noise reduction in the wavelet domain using temporal decorrelation and adaptive thresholding. In: IEEE International Symposium on Circuits and Systems, pp. 4603–4606 (2006)
Crouse, M.S., Nowak, R.D., Baraniuk, R.G.: Wavelet based statistical signal processing using hidden Markov models. IEEE Trans. on Signal Processing 46(4), 886–902 (1998)
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Xu, W., Wang, S. (2013). A DD_DTCWT Image De-noising Method Based on Scale Noise Level Estimation. In: Tan, T., Ruan, Q., Chen, X., Ma, H., Wang, L. (eds) Advances in Image and Graphics Technologies. IGTA 2013. Communications in Computer and Information Science, vol 363. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37149-3_18
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DOI: https://doi.org/10.1007/978-3-642-37149-3_18
Publisher Name: Springer, Berlin, Heidelberg
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