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Volumn 2004, Issue 16, 2004, Pages 2408-2422

A nonlinear entropic variational model for image filtering

Author keywords

Differential entropy; Gradient descent flows; Image denoising; MAP estimation; Robust statistics; Variational methods

Indexed keywords

ENTROPY; MATHEMATICAL MODELS; OPTIMIZATION; PROBABILITY; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SIGNAL FILTERING AND PREDICTION;

EID: 14544276547     PISSN: 11108657     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1110865704407197     Document Type: Article
Times cited : (4)

References (30)
  • 1
    • 84990602490 scopus 로고
    • Optimal approximations by piecewise smooth functions and associated variational problems
    • D. Mumford and J. Shah, "Optimal approximations by piecewise smooth functions and associated variational problems," Comm. Pure Appl. Math., vol. 42, no. 5, pp. 577-685, 1989.
    • (1989) Comm. Pure Appl. Math. , vol.42 , Issue.5 , pp. 577-685
    • Mumford, D.1    Shah, J.2
  • 3
    • 0026883886 scopus 로고
    • Image selective smoothing and edge detection by nonlinear diffusion. II
    • L. Alvarez, P.-L. Lions, and J.-M. Morel, "Image selective smoothing and edge detection by nonlinear diffusion. II," SIAM J. Numer. Anal., vol. 29, no. 3, pp. 845-866, 1992.
    • (1992) SIAM J. Numer. Anal. , vol.29 , Issue.3 , pp. 845-866
    • Alvarez, L.1    Lions, P.-L.2    Morel, J.-M.3
  • 4
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L. Rudin, S. Osher, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," Physica D, vol. 60, no. 1-4, pp. 259-268, 1992.
    • (1992) Physica D , vol.60 , Issue.1-4 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 5
    • 0028413507 scopus 로고
    • Signal and image restoration using shock niters and anisotropic diffusion
    • L. Alvarez and L. Mazorra, "Signal and image restoration using shock niters and anisotropic diffusion," SIAM J. Numer. Anal., vol. 31, no. 2, pp. 590-605, 1994.
    • (1994) SIAM J. Numer. Anal. , vol.31 , Issue.2 , pp. 590-605
    • Alvarez, L.1    Mazorra, L.2
  • 8
    • 0033881977 scopus 로고    scopus 로고
    • Image segmentation and edge enhancement with stabilized inverse diffusion equations
    • I. Pollak, A. S. Willsky, and H. Krim, "Image segmentation and edge enhancement with stabilized inverse diffusion equations," IEEE Trans. Image Processing, vol. 9, no. 2, pp. 256-266, 2000.
    • (2000) IEEE Trans. Image Processing , vol.9 , Issue.2 , pp. 256-266
    • Pollak, I.1    Willsky, A.S.2    Krim, H.3
  • 9
    • 0001247679 scopus 로고    scopus 로고
    • Les EDP en traitement des images et vision par ordinateur
    • R. Deriche and O. Faugeras, "Les EDP en traitement des images et vision par ordinateur," Traitement du Signal, vol. 13, no. 6, pp. 59, 1996.
    • (1996) Traitement Du Signal , vol.13 , Issue.6 , pp. 59
    • Deriche, R.1    Faugeras, O.2
  • 10
    • 0032646628 scopus 로고    scopus 로고
    • Image sequence analysis via partial differential equations
    • P. Kornprobst, R. Deriche, and G. Aubert, "Image sequence analysis via partial differential equations," J. Math. Imaging Vision, vol. 11, no. 1, pp. 5-26, 1999.
    • (1999) J. Math. Imaging Vision , vol.11 , Issue.1 , pp. 5-26
    • Kornprobst, P.1    Deriche, R.2    Aubert, G.3
  • 12
    • 0011235023 scopus 로고    scopus 로고
    • A variational method in image recovery
    • G. Aubert and L. Vese, "A variational method in image recovery," SIAM J. Numer. Anal., vol. 34, no. 5, pp. 1948-1979, 1997.
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.5 , pp. 1948-1979
    • Aubert, G.1    Vese, L.2
  • 13
    • 0032628798 scopus 로고    scopus 로고
    • Minimax description length for signal denoising and optimized representation
    • H. Krim and I. C. Schick, "Minimax description length for signal denoising and optimized representation," IEEE Transactions on Information Theory, vol. 45, no. 3, pp. 898-908, 1999.
    • (1999) IEEE Transactions on Information Theory , vol.45 , Issue.3 , pp. 898-908
    • Krim, H.1    Schick, I.C.2
  • 14
    • 0035679609 scopus 로고    scopus 로고
    • Image denoising: A nonlinear robust statistical approach
    • A. Ben Hamza and H. Krim, "Image denoising: a nonlinear robust statistical approach," IEEE Trans. Signal Processing, vol. 49, no. 12, pp. 3045-3054, 2001.
    • (2001) IEEE Trans. Signal Processing , vol.49 , Issue.12 , pp. 3045-3054
    • Ben Hamza, A.1    Krim, H.2
  • 15
    • 0032022520 scopus 로고    scopus 로고
    • Modified curvature motion for image smoothing and enhancement
    • A. Yezzi, "Modified curvature motion for image smoothing and enhancement," IEEE Trans. Image Processing, vol. 7, no. 3, pp. 345-352, 1998.
    • (1998) IEEE Trans. Image Processing , vol.7 , Issue.3 , pp. 345-352
    • Yezzi, A.1
  • 17
    • 0035307274 scopus 로고    scopus 로고
    • Feature-enhanced synthetic aperture radar image formation based on nonquadratic regularization
    • M. Cetin and W. C. Karl, "Feature-enhanced synthetic aperture radar image formation based on nonquadratic regularization," IEEE Trans. Image Processing, vol. 10, no. 4, pp. 623-631, 2001.
    • (2001) IEEE Trans. Image Processing , vol.10 , Issue.4 , pp. 623-631
    • Cetin, M.1    Karl, W.C.2
  • 18
    • 84958640650 scopus 로고    scopus 로고
    • A variational approach to maximum a posteriori estimation for image denoising
    • vol. 2134 of Lecture Notes in Computer Science, Springer-Verlag, New York, NY, USA
    • A. Ben Hamza and H. Krim, "A variational approach to maximum a posteriori estimation for image denoising," in Energy Minimization Methods in Computer Vision and Pattern Recognition, vol. 2134 of Lecture Notes in Computer Science, pp. 19-34, Springer-Verlag, New York, NY, USA, 2001.
    • (2001) Energy Minimization Methods in Computer Vision and Pattern Recognition , pp. 19-34
    • Ben Hamza, A.1    Krim, H.2
  • 19
    • 0032028980 scopus 로고    scopus 로고
    • Total variation blind deconvolution
    • T. F. Chan and C.-K. Wong, "Total variation blind deconvolution," IEEE Trans. Image Processing, vol. 7, no. 3, pp. 370-375, 1998.
    • (1998) IEEE Trans. Image Processing , vol.7 , Issue.3 , pp. 370-375
    • Chan, T.F.1    Wong, C.-K.2
  • 20
    • 0035250066 scopus 로고    scopus 로고
    • The digital TV filter and nonlinear denoising
    • T. F. Chan, S. Osher, and J. Shen, "The digital TV filter and nonlinear denoising,". IEEE Trans. Image Processing, vol. 10, no. 2, pp. 231-241, 2001.
    • (2001) IEEE Trans. Image Processing , vol.10 , Issue.2 , pp. 231-241
    • Chan, T.F.1    Osher, S.2    Shen, J.3
  • 22
    • 0000668458 scopus 로고    scopus 로고
    • On the convergence of the lagged diffusivity fixed point method in total variation image restoration
    • T. F. Chan and P. Mulet, "On the convergence of the lagged diffusivity fixed point method in total variation image restoration," SIAM J. Numer. Anal., vol. 36, no. 2, pp. 354-367, 1999.
    • (1999) SIAM J. Numer. Anal. , vol.36 , Issue.2 , pp. 354-367
    • Chan, T.F.1    Mulet, P.2
  • 23
    • 0001592307 scopus 로고    scopus 로고
    • Restoration of edge-flat-grey scale images
    • K. Ito and K. Kunisch, "Restoration of edge-flat-grey scale images" Inverse Problems, vol. 16, no. 4, pp. 909-928, 2000.
    • (2000) Inverse Problems , vol.16 , Issue.4 , pp. 909-928
    • Ito, K.1    Kunisch, K.2
  • 24
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images
    • S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images," IEEE Trans. on Pattern Analysis and Machine Intelligence, vol. 6, no. 6, pp. 721-741, 1984.
    • (1984) IEEE Trans. on Pattern Analysis and Machine Intelligence , vol.6 , Issue.6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 25
    • 0030283909 scopus 로고    scopus 로고
    • Behavioral analysis of anisotropic diffusion in image processing
    • Y.-L. You, W. Xu, A. Tannenbaum, and M. Kaveh, "Behavioral analysis of anisotropic diffusion in image processing," IEEE Trans. Image Processing, vol. 5, no. 11, pp. 1539-1553, 1996.
    • (1996) IEEE Trans. Image Processing , vol.5 , Issue.11 , pp. 1539-1553
    • You, Y.-L.1    Xu, W.2    Tannenbaum, A.3    Kaveh, M.4
  • 26
    • 0004262735 scopus 로고
    • John Wiley & Sons, New York, NY, USA
    • P. Huber, Robust Statistics, John Wiley & Sons, New York, NY, USA, 1981.
    • (1981) Robust Statistics
    • Huber, P.1
  • 30
    • 0030676589 scopus 로고    scopus 로고
    • On the distributions of optimized multiscale representations
    • Munich, Germany, April
    • H. Krim, "On the distributions of optimized multiscale representations," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing (ICASSP'97), vol. 5, pp. 3673-3676, Munich, Germany, April 1997.
    • (1997) Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing (ICASSP'97) , vol.5 , pp. 3673-3676
    • Krim, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.