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Volumn 17, Issue 11, 2008, Pages 2089-2101

Image modeling and denoising with orientation-adapted Gaussian scale mixtures

Author keywords

Gaussian Scale Mixtures; Image denoising; Image processing; Statistical image modeling; Wavelet transforms

Indexed keywords

CLUSTER ANALYSIS; CURVE FITTING; IMAGE PROCESSING; RANDOM VARIABLES; STATISTICAL METHODS; TRELLIS CODES; WAVELET TRANSFORMS;

EID: 54949106570     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2008.2004796     Document Type: Article
Times cited : (47)

References (34)
  • 2
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • S. Mallat, "A theory for multiresolution signal decomposition: The wavelet representation," IEEE Pattern Anal. Mach. Intell., vol. 11, no. 7, pp. 674-693, 1989.
    • (1989) IEEE Pattern Anal. Mach. Intell , vol.11 , Issue.7 , pp. 674-693
    • Mallat, S.1
  • 5
    • 0003348249 scopus 로고    scopus 로고
    • Wavelet image coding based on a new generalized Gaussian mixture model
    • presented at the, Snowbird, UT, Mar
    • S. M. LoPresto, K. Ramchandran, and M. T. Orchard, "Wavelet image coding based on a new generalized Gaussian mixture model," presented at the Data Compression Conf, Snowbird, UT, Mar. 1997.
    • (1997) Data Compression Conf
    • LoPresto, S.M.1    Ramchandran, K.2    Orchard, M.T.3
  • 6
    • 0031674414 scopus 로고    scopus 로고
    • Statistical models for images: Compression, restoration and synthesis
    • Pacific Grove, CA, Nov. 2-5
    • E.P. Simoncelli, "Statistical models for images: Compression, restoration and synthesis," in Proc. 31st Asilomar Conf. Signals, Systems and Computers, Pacific Grove, CA, Nov. 2-5, 1997, vol. 1, pp. 673-678.
    • (1997) Proc. 31st Asilomar Conf. Signals, Systems and Computers , vol.1 , pp. 673-678
    • Simoncelli, E.P.1
  • 7
    • 33747727601 scopus 로고    scopus 로고
    • Wavelet-based statistical signal processing using hidden markov models
    • Apr
    • M. S. Crouse, R. D. Nowak, and R. G. Baraniuk, "Wavelet-based statistical signal processing using hidden markov models," IEEE Trans. Signal Process., vol. 46, no. 4, pp. 886-902, Apr. 1998.
    • (1998) IEEE Trans. Signal Process , vol.46 , Issue.4 , pp. 886-902
    • Crouse, M.S.1    Nowak, R.D.2    Baraniuk, R.G.3
  • 8
    • 0342647438 scopus 로고    scopus 로고
    • Low-complexity image denoising based on statistical modeling of wavelet coefficients
    • Jan
    • M. Mihcak, I. Kozintsev, K. Ramchandran, and P. Moulin, "Low-complexity image denoising based on statistical modeling of wavelet coefficients," IEEE Signal Process. Lett., vol. 6, no. 1, pp. 300-303, Jan. 1999.
    • (1999) IEEE Signal Process. Lett , vol.6 , Issue.1 , pp. 300-303
    • Mihcak, M.1    Kozintsev, I.2    Ramchandran, K.3    Moulin, P.4
  • 10
    • 0035442514 scopus 로고    scopus 로고
    • Wavelet-based image estimation: An empirical Bayes approach using Jeffrey's noninformative prior
    • Sep
    • M. Figueiredo and R. Nowak, "Wavelet-based image estimation: An empirical Bayes approach using Jeffrey's noninformative prior," IEEE Trans. Image Process., vol. 10, no. 9, pp. 1322-1331, Sep. 2001.
    • (2001) IEEE Trans. Image Process , vol.10 , Issue.9 , pp. 1322-1331
    • Figueiredo, M.1    Nowak, R.2
  • 11
    • 17544384568 scopus 로고    scopus 로고
    • Bubbles: A unifying framework for low-level statistical properties of natural image sequences
    • Jul
    • A. Hyvärinen, J. Hurri, and J. Väyrynen, "Bubbles: A unifying framework for low-level statistical properties of natural image sequences," J. Opt. Soc. America A, vol. 20, no. 7, Jul. 2003.
    • (2003) J. Opt. Soc. America A , vol.20 , Issue.7
    • Hyvärinen, A.1    Hurri, J.2    Väyrynen, J.3
  • 12
    • 13244255412 scopus 로고    scopus 로고
    • A hierarchical bayesian model for learning nonlinear statistical regularities in nonstationary natural signals
    • Feb
    • Y. Karklin and M. S. Lewicki, "A hierarchical bayesian model for learning nonlinear statistical regularities in nonstationary natural signals," Neural Comput., vol. 17, no. 2, pp. 397-423, Feb. 2005.
    • (2005) Neural Comput , vol.17 , Issue.2 , pp. 397-423
    • Karklin, Y.1    Lewicki, M.S.2
  • 13
    • 0003071947 scopus 로고
    • Scale mixtures of normal distributions
    • D. Andrews and C. Mallows, "Scale mixtures of normal distributions," J. Roy. Statist. Soc. B, vol. 36, pp. 99-102, 1974.
    • (1974) J. Roy. Statist. Soc. B , vol.36 , pp. 99-102
    • Andrews, D.1    Mallows, C.2
  • 14
    • 0242636409 scopus 로고    scopus 로고
    • Image denoising using scale mixtures of Gaussians in the wavelet domain
    • Nov
    • J. Portilla, V. Strela, M. J. Wainwright, and E. P. Simoncelli, "Image denoising using scale mixtures of Gaussians in the wavelet domain," IEEE Trans. Image Process., vol. 12, no. 11, pp. 1338-1351, Nov. 2003.
    • (2003) IEEE Trans. Image Process , vol.12 , Issue.11 , pp. 1338-1351
    • Portilla, J.1    Strela, V.2    Wainwright, M.J.3    Simoncelli, E.P.4
  • 15
    • 39149133381 scopus 로고    scopus 로고
    • Image restoration using space-variant Gaussian scale mixture in overcomplete pyramids
    • Jan
    • J. A. Guerrero-Colón, L. Mancera, and J. Portilla, "Image restoration using space-variant Gaussian scale mixture in overcomplete pyramids," IEEE Trans. Image Process., vol. 17, no. 1, pp. 27-41, Jan. 2008.
    • (2008) IEEE Trans. Image Process , vol.17 , Issue.1 , pp. 27-41
    • Guerrero-Colón, J.A.1    Mancera, L.2    Portilla, J.3
  • 16
    • 78649838951 scopus 로고    scopus 로고
    • Image denoising with an orientation adaptive Gaussian scale mixture model
    • presented at the
    • D. Hammod and E. Simoncelli, "Image denoising with an orientation adaptive Gaussian scale mixture model," presented at the 13th IEEE Int. Conf. Image Processing, 2006.
    • (2006) 13th IEEE Int. Conf. Image Processing
    • Hammod, D.1    Simoncelli, E.2
  • 17
    • 0026735337 scopus 로고
    • Shiftable multi-scale transforms
    • Mar, Special Issue on Wavelets
    • E. P. Simoncelli, W. T. Freeman, E. H. Adelson, and D. J. Heeger, "Shiftable multi-scale transforms," IEEE Trans. Inf. Theory, vol. 38, no. 2, pp. 587-607, Mar. 1992, Special Issue on Wavelets.
    • (1992) IEEE Trans. Inf. Theory , vol.38 , Issue.2 , pp. 587-607
    • Simoncelli, E.P.1    Freeman, W.T.2    Adelson, E.H.3    Heeger, D.J.4
  • 18
    • 0027798110 scopus 로고
    • Embedded image coding using zerotrees of wavelet coefficients
    • Dec
    • J. M. Shapiro, "Embedded image coding using zerotrees of wavelet coefficients," IEEE Trans. Signal Processing, vol. 41, no. 12, pp. 3445-62, Dec. 1993.
    • (1993) IEEE Trans. Signal Processing , vol.41 , Issue.12 , pp. 3445-3462
    • Shapiro, J.M.1
  • 19
    • 0031125485 scopus 로고    scopus 로고
    • A deblocking algorithm for JPEG compressed images using overcomplete wavelet representations
    • Apr
    • Z. Xiong, M. T. Orchard, and Y.-Q. Zhang, "A deblocking algorithm for JPEG compressed images using overcomplete wavelet representations," IEEE Trans. Circuits Syst. Video Technol., vol. 7, no. 2, pp. 433-437, Apr. 1997.
    • (1997) IEEE Trans. Circuits Syst. Video Technol , vol.7 , Issue.2 , pp. 433-437
    • Xiong, Z.1    Orchard, M.T.2    Zhang, Y.-Q.3
  • 20
    • 0033338289 scopus 로고    scopus 로고
    • Image compression via joint statistical characterization in the wavelet domain
    • Dec
    • R.W. Buccigrossi and E. P. Simoncelli, "Image compression via joint statistical characterization in the wavelet domain," IEEE Trans. Image Process., vol. 8, no. 12, pp. 1688-1701, Dec. 1999.
    • (1999) IEEE Trans. Image Process , vol.8 , Issue.12 , pp. 1688-1701
    • Buccigrossi, R.W.1    Simoncelli, E.P.2
  • 21
    • 0035398091 scopus 로고    scopus 로고
    • Bayesian tree-structured image modeling using wavelet-domain hidden markov models
    • Jul
    • J. K. Romberg, H. Choi, and R. G. Baraniuk, "Bayesian tree-structured image modeling using wavelet-domain hidden markov models," IEEE Trans. Image Process., vol. 10, no. 7, pp. 1056-1068, Jul. 2001.
    • (2001) IEEE Trans. Image Process , vol.10 , Issue.7 , pp. 1056-1068
    • Romberg, J.K.1    Choi, H.2    Baraniuk, R.G.3
  • 22
    • 0035510179 scopus 로고    scopus 로고
    • Information-theoretic analysis of interscale and intrascale dependencies between image wavelet coefficients
    • Nov
    • J. Liu and P. Moulin, "Information-theoretic analysis of interscale and intrascale dependencies between image wavelet coefficients," IEEE Trans. Image Process., vol. 10, no. 11, pp. 1647-1658, Nov. 2001.
    • (2001) IEEE Trans. Image Process , vol.10 , Issue.11 , pp. 1647-1658
    • Liu, J.1    Moulin, P.2
  • 23
    • 0001187198 scopus 로고
    • Statistics of natural images: Scaling in the woods
    • D. L. Ruderman and W. Bialek, "Statistics of natural images: Scaling in the woods," Phys. Rev. Lett., vol. 73, no. 6, pp. 814-817, 1994.
    • (1994) Phys. Rev. Lett , vol.73 , Issue.6 , pp. 814-817
    • Ruderman, D.L.1    Bialek, W.2
  • 25
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • A. P. Dempster, N. M. Laird, and D. B. Rubin, "Maximum likelihood from incomplete data via the EM algorithm," J. Roy. Statist. Soc. B, vol. 39, pp. 1-38, 1977.
    • (1977) J. Roy. Statist. Soc. B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 26
    • 54949100088 scopus 로고    scopus 로고
    • J.A. Bilmes, A gentle tutorial of the EM algorithm and its application to parameter estimation for Gaussian mixture and hidden markov models, Tech. Rep. (TR-97-021), Dept. Elect. Eng. Comput. Sci., Univ. California, Berkeley, 1998.
    • J.A. Bilmes, "A gentle tutorial of the EM algorithm and its application to parameter estimation for Gaussian mixture and hidden markov models," Tech. Rep. (TR-97-021), Dept. Elect. Eng. Comput. Sci., Univ. California, Berkeley, 1998.
  • 27
    • 24644467818 scopus 로고    scopus 로고
    • Fields of experts: A framework for learning image priors
    • Jan
    • S. Roth and M. Black, "Fields of experts: A framework for learning image priors," Comput. Vis. Pattern Recognit., Jan. 2005.
    • (2005) Comput. Vis. Pattern Recognit
    • Roth, S.1    Black, M.2
  • 28
    • 33751379736 scopus 로고    scopus 로고
    • Image denoising via sparse and redundant representations over learned dictionaries
    • Jan
    • M. Elad and M. Aharon, "Image denoising via sparse and redundant representations over learned dictionaries," IEEE Trans. Image Process., vol. 15, no. 1, pp. 3736-3745, Jan. 2006.
    • (2006) IEEE Trans. Image Process , vol.15 , Issue.1 , pp. 3736-3745
    • Elad, M.1    Aharon, M.2
  • 29
    • 33749184792 scopus 로고    scopus 로고
    • Optimal spatial adaptation for patch-based image denoising
    • Jan
    • C. Kervrann and J. Boulanger, "Optimal spatial adaptation for patch-based image denoising," IEEE Trans. Image Process., vol. 15, no. 1, pp. 2866-2878, Jan. 2006.
    • (2006) IEEE Trans. Image Process , vol.15 , Issue.1 , pp. 2866-2878
    • Kervrann, C.1    Boulanger, J.2
  • 30
    • 34547760736 scopus 로고    scopus 로고
    • Image denoising by sparse 3D transform-domain collaborative filtering
    • Jan
    • K. Dabov, A. Foi, V. Katkovnik, and K. Egiazarian, "Image denoising by sparse 3D transform-domain collaborative filtering," IEEE Trans. Image Process., vol. 16, no. 1, pp. 2080-2095, Jan. 2007.
    • (2007) IEEE Trans. Image Process , vol.16 , Issue.1 , pp. 2080-2095
    • Dabov, K.1    Foi, A.2    Katkovnik, V.3    Egiazarian, K.4
  • 31
    • 62249137735 scopus 로고    scopus 로고
    • Modeling multiscale subbands of photographic images with fields of Gaussian scale mixtures
    • to be published
    • S. Lyu and E. P. Simoncelli, "Modeling multiscale subbands of photographic images with fields of Gaussian scale mixtures," IEEE Trans. Pattern Anal. Mach. Intell., 2008, to be published.
    • (2008) IEEE Trans. Pattern Anal. Mach. Intell
    • Lyu, S.1    Simoncelli, E.P.2
  • 32
    • 0035391385 scopus 로고    scopus 로고
    • Random cascades on wavelet trees and their use in modeling and analyzing natural imagery
    • Jul
    • M. J. Wainwright, E. P. Simoncelli, and A. S. Willsky, "Random cascades on wavelet trees and their use in modeling and analyzing natural imagery," Appl. Comput. Harmon. Anal., vol. 11, no. 1, pp. 89-123, Jul. 2001.
    • (2001) Appl. Comput. Harmon. Anal , vol.11 , Issue.1 , pp. 89-123
    • Wainwright, M.J.1    Simoncelli, E.P.2    Willsky, A.S.3
  • 33
    • 0028463735 scopus 로고
    • Orientation adaptive suband coding of images
    • Jul
    • D. Taubman and A. Zakhor, "Orientation adaptive suband coding of images," IEEE Trans. Image Process., vol. 3, no. 7, pp. 404-420, Jul. 1994.
    • (1994) IEEE Trans. Image Process , vol.3 , Issue.7 , pp. 404-420
    • Taubman, D.1    Zakhor, A.2
  • 34
    • 0035369669 scopus 로고    scopus 로고
    • Edge directed prediction for lossless compression of natural images
    • Jun
    • X. Li, M. Orchard, and A. S. Willsky, "Edge directed prediction for lossless compression of natural images," IEEE Trans. Image Process. vol. 10, no. 6, pp. 813-817, Jun. 2001.
    • (2001) IEEE Trans. Image Process , vol.10 , Issue.6 , pp. 813-817
    • Li, X.1    Orchard, M.2    Willsky, A.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.