Abstract
This paper suggests a scheme of image denoising based on two-dimensional discrete wavelet transform. The denoising algorithm is described with some operators. By thresholding the wavelet transform coefficients of noisy images, the original image can be reconstructed correctly. Different threshold selections and thresholding methods are discussed. A new robust local threshold scheme is proposed. Quantifying the performance of image denoising schemes by using the mean square error, the performance of the robust local threshold scheme is demonstrated and is compared with the universal threshold scheme. The experiment shows that image denoising using the robust local threshold performs better than that using the universal threshold.
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References
S. Mallat, W. L. Hwang, Singularity detection and processing with wavelets, IEEE Trans. on Information Theory, 38(1992)2, 617–643.
A. Grossman, Wavelet Transform and Edge Detection, In Stochastic Processes in Physics and Engineering, M. Hazewinkel. Ed, Sodrecht: Reidel, 1986.
I. Daubechies, Ten lectures on wavelets. SIAM, 1992.
G. Chag, et al., Image denoising via lossy compression and wavelet thresholding, In Proc. IEEE Int. Conf. Image Processing, Santa Barbara, CA, 1997, 604–607.
D. L. Donoho, I. M. Johnstone, Ideal spatial adaptation by wavelet shrinkage, Biometrika, 81(1994), 425–455.
S. Mallat, A theory for multiresolution signal decomposition: The wavelet representation, IEEE Trans. on Pattern Analysis and Machine Intelligence, 11(1989)7, 674–693.
D. L. Donoho, Denoising by soft thresholding, IEEE Trans. on Information Theory, 41(1995)3, 613–627.
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Supported by the National Natural Science Foundation of China(No. 59775070)
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Lin, K., Zhou, H. & Li, D. Image wavelet denoising using the robust local threshold. J. of Electron.(China) 19, 8–13 (2002). https://doi.org/10.1007/s11767-002-0002-6
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DOI: https://doi.org/10.1007/s11767-002-0002-6