Modeling the joint statistics of images in the wavelet domain
作者： Eero P. Simoncelli
DOI: 10.1117/12.366779
关键词:
摘要: I describe a statistical model for natural photographic images, when decomposed in multi-scale wavelet basis. In particular, examine both the marginal and pairwise joint histograms of coefficients at adjacent spatial locations, orientations, scales. Although are highly non-Gaussian, they nevertheless well described using fairly simple parameterized density models.
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D. L. Donoho, I. M. Johnstone, Ideal denoising in an orthonormal basis chosen from a library of bases Comptes rendus de l'Académie des sciences. Série 1, Mathématique. ,vol. 319, pp. 1317- 1322 ,(1994)
Eero P. Simoncelli, Javier Portilla, Texture Representation and Synthesis Using Correlation of Complex Wavelet Coefficient Magnitudes ,(1999)
J.-F. Cardoso, Source separation using higher order moments international conference on acoustics, speech, and signal processing. pp. 2109- 2112 ,(1989) , 10.1109/ICASSP.1989.266878
Daniel L. Ruderman, William Bialek, Statistics of natural images: Scaling in the woods. Physical Review Letters. ,vol. 73, pp. 814- 817 ,(1994) , 10.1103/PHYSREVLETT.73.814
E.P. Simoncelli, Statistical models for images: compression, restoration and synthesis asilomar conference on signals, systems and computers. ,vol. 1, pp. 673- 678 ,(1997) , 10.1109/ACSSC.1997.680530
Martin J Wainwright, Eero P. Simoncelli, Scale Mixtures of Gaussians and the Statistics of Natural Images neural information processing systems. ,vol. 12, pp. 855- 861 ,(1999)
R.W. Buccigrossi, E.P. Simoncelli, Image compression via joint statistical characterization in the wavelet domain IEEE Transactions on Image Processing. ,vol. 8, pp. 1688- 1701 ,(1999) , 10.1109/83.806616
S.G. Mallat, A theory for multiresolution signal decomposition: the wavelet representation IEEE Transactions on Pattern Analysis and Machine Intelligence. ,vol. 11, pp. 674- 693 ,(1989) , 10.1109/34.192463
E.P. Simoncelli, J. Portilla, Texture characterization via joint statistics of wavelet coefficient magnitudes international conference on image processing. ,vol. 1, pp. 62- 66 ,(1998) , 10.1109/ICIP.1998.723417
Anthony J. Bell, Terrence J. Sejnowski, The "independent components" of natural scenes are edge filters. Vision Research. ,vol. 37, pp. 3327- 3338 ,(1997) , 10.1016/S0042-6989(97)00121-1