Ridgelet域中基于非参数自适应密度估计理论的图像去噪方法
Image De-noising Method Based on Nonparametric Adaptive Density Estimation in Ridgelet Domain
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摘要: Ridgelet 是一种新的信号分析方法，它适合于具有直线或超平面奇异性的二维信号的描述，目前， 针对特定大小的离散图像，又提出了正交有限Ridgelet变换(FRIT)。该文在有限Ridgelet域中，结合Birge-Massart等提出的非参数自适应估计理论，提出一种新的二维图像去噪方法。实验证明，这种基于Ridgelet与Birge-Massart理论的图像去噪方法，与传统的Wavelet域去噪以及Donoho阈值去噪方法相比,去噪效果更为明显。Abstract: Ridgelet is a new signal analysis method; it is especially suitable for describing the 2-D signals which have linear or super-plane singularities. Recently, an orthonormal version of Ridgelet for discrete and finite-size images is presented, named Finite Ridgelet Transform (FRIT). In this paper, a new image de-noising method is proposed by using the threshold method based on nonparametric adaptive estimation which is presented by Birge-Massart in Ridgelet domain. Experiments show that this de-noising method represents better characteristic than traditional de-noising method in wavelet domain and the de-noising method based on Donoho strategy.
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Candes E J. Ridgelet: Theory and applications. Ph. D. Thesis, Department of Statistics, Stanford University, 1998.[2]Candes E J, Donoho D L. Ridgelets: A key to higher-dimensional intermittency[J].Philosophical Trans. of the Royal Society of London Series A.1999, 357(1760):2495-2509[3]Do M N, Vetterli M. The finite ridgelet transform for image representation[J].IEEE Trans. on Image Processing.2003, 12(1):16-28[4]Do M N, Vetterli M. Image denoising using orthonormal finite ridgelet transform. Proc. of SPIE Conf. on Wavelet Applications in Signal and Image Processing, San Diego, 2000, 4119: 831-842.[5]Birge L, Massart P. From model selection to adaptive estimation. In Festschrift for Lucien Le Cam: Research Paper in Probability and Statistics. New York: Springer-Verlag, 1997: 55-88.[6]Le Cam L. Convergence of estimates under dimensionality restrictions[J].Annals of Statistics.1973, 1(1):38-53[7]Barron A R, Birge L, Massart P. Risk bounds for model selectionvia penalization[J].Probability Theory and Related Fields.1999, 113(3):301-413[8]Karlsson G, Vetterli M. Extension of finite length signal for sub-band coding[J].Signal Processing.1989, 17(2):161-166 -
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