메뉴 건너뛰기




Volumn 26, Issue 1-2, 2006, Pages 217-237

Constrained and SNR-based solutions for TV-Hilbert space image denoising

Author keywords

BV; Denoising; H 1; Hilbert space; Image restoration; Projection; SNR; Total variation

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; NUMERICAL METHODS; PROBLEM SOLVING; SIGNAL TO NOISE RATIO; SPACE APPLICATIONS; TELEVISION;

EID: 33751529245     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-006-7801-6     Document Type: Article
Times cited : (59)

References (49)
  • 1
    • 84878100527 scopus 로고    scopus 로고
    • Restoration and zoom of irregularly sampled, blurred and noisy images by accurate total variation minimization with local constraints
    • accepted in
    • A. Almansa, V. Caselles, G. Haro, and B. Rouge, "Restoration and zoom of irregularly sampled, blurred and noisy images by accurate total variation minimization with local constraints, " accepted in SIAM Journal on Multiscale Modelling and Simulation.
    • SIAM Journal on Multiscale Modelling and Simulation
    • Almansa, A.1    Caselles, V.2    Haro, G.3    Rouge, B.4
  • 2
    • 17444396382 scopus 로고    scopus 로고
    • Modeling very oscillating signals. Application to image processing
    • March/April
    • G. Aubert, and J.F. Aujol, "Modeling very oscillating signals. Application to image processing, " Applied Mathematics and Optimization, Vol. 51, No. 2, pp. 163-182, March/April 2005.
    • (2005) Applied Mathematics and Optimization , vol.51 , Issue.2 , pp. 163-182
    • Aubert, G.1    Aujol, J.F.2
  • 4
    • 14844355103 scopus 로고    scopus 로고
    • Image decomposition into a bounded variation component and an oscillating component
    • January
    • J.F. Aujol, G. Aubert, L. Blanc-Féraud, and A. Chambolle, "Image decomposition into a bounded variation component and an oscillating component, " JMIV, Vol. 22, No. 1, pp. 71-88, January 2005.
    • (2005) JMIV , vol.22 , Issue.1 , pp. 71-88
    • Aujol, J.F.1    Aubert, G.2    Blanc-Féraud, L.3    Chambolle, A.4
  • 6
    • 33645678122 scopus 로고    scopus 로고
    • Implementation and parameter selection for BV-Hilbert space regularizations
    • J.F. Aujol and G. Gilboa, "Implementation and parameter selection for BV-Hilbert space regularizations, " UCLA CAM Report 04-66, ftp://ftp.math.ucla.edu/pub/camreport/cam04-66.pdf, 2004.
    • (2004) UCLA CAM Report , vol.4 , Issue.66
    • Aujol, J.F.1    Gilboa, G.2
  • 7
    • 33751501563 scopus 로고    scopus 로고
    • Structure-texture decomposition by a TV-Gabor model
    • J.F. Aujol, G. Gilboa, T. Chan, and S. Osher, "Structure-texture decomposition by a TV-Gabor model, " In VLSM 05, 2005.
    • (2005) VLSM 05
    • Aujol, J.F.1    Gilboa, G.2    Chan, T.3    Osher, S.4
  • 8
    • 33644533840 scopus 로고    scopus 로고
    • Structure-texture image decomposition - Modeling, algorithms, and parameter selection
    • UCLA CAM Report 05-10 April
    • J.F. Aujol, G. Gilboa, T. Chan, and S. Osher, "Structure-texture image decomposition - modeling, algorithms, and parameter selection, " UCLA CAM Report 05-10, ftp://ftp.math.ucla.edu/pub/camreport/cam05-10.pdf, International Journal of Computer Vision, Vol. 67, No. 1, pp. 111-136, April 2006.
    • (2006) International Journal of Computer Vision , vol.67 , Issue.1 , pp. 111-136
    • Aujol, J.F.1    Gilboa, G.2    Chan, T.3    Osher, S.4
  • 12
    • 1242352408 scopus 로고    scopus 로고
    • An algorithm for total variation minimization and applications
    • A. Chambolle, "An algorithm for total variation minimization and applications, " JMIV, Vol. 20, pp. 89-97, 2004.
    • (2004) JMIV , vol.20 , pp. 89-97
    • Chambolle, A.1
  • 13
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total variation minimization and related problems
    • A. Chambolle and P.L. Lions, "Image recovery via total variation minimization and related problems, " Numerische Mathematik, Vol. 76, No. 3, pp. 167-188, 1997.
    • (1997) Numerische Mathematik , vol.76 , Issue.3 , pp. 167-188
    • Chambolle, A.1    Lions, P.L.2
  • 15
    • 0033295350 scopus 로고    scopus 로고
    • A nonlinear primal-dual method for total variation minimization and related problems
    • T.F. Chan, G.H. Mulet, and P. Mulet, "A nonlinear primal-dual method for total variation minimization and related problems, " SIAM Journal of Scientific Computing, Vol. 20, No. 6, pp. 1964-1977, 1999.
    • (1999) SIAM Journal of Scientific Computing , vol.20 , Issue.6 , pp. 1964-1977
    • Chan, T.F.1    Mulet, G.H.2    Mulet, P.3
  • 16
    • 0003972915 scopus 로고
    • Introduction à l'analyse numérique matricelle et à l'optimisation
    • Masson
    • P.G. Ciarlet, "Introduction à l'analyse numérique matricelle et à l'optimisation, " Mathématiques appliquées pour la maitrise. Masson, 1982.
    • (1982) Mathématiques Appliquées Pour la Maitrise
    • Ciarlet, P.G.1
  • 17
    • 4344685262 scopus 로고    scopus 로고
    • Image restoration subject to a total variation constraint
    • P. L. Combettes and J. C. Pesquet, "Image restoration subject to a total variation constraint, " IEEE Transactions on Image Processing, Vol. 13, No. 9, pp. 1213-1222, 2004.
    • (2004) IEEE Transactions on Image Processing , vol.13 , Issue.9 , pp. 1213-1222
    • Combettes, P.L.1    Pesquet, J.C.2
  • 18
    • 0036871107 scopus 로고    scopus 로고
    • An adaptative level set method for nondifferentiable constrained image recovery
    • P.L. Combettes and J. Luo, "An adaptative level set method for nondifferentiable constrained image recovery, " IEEE Transactions on Image Processing, Vol. 11, No. 11, pp. 1295-1304, 2002.
    • (2002) IEEE Transactions on Image Processing , vol.11 , Issue.11 , pp. 1295-1304
    • Combettes, P.L.1    Luo, J.2
  • 19
    • 0026188767 scopus 로고
    • The use of noise properties in set theoretic estimation
    • P.L. Combettes and H.J. Trussel, "The use of noise properties in set theoretic estimation, " IEEE Transactions on Signal Processing, Vol. 39, No. 7, pp. 1630-1641, 1991.
    • (1991) IEEE Transactions on Signal Processing , vol.39 , Issue.7 , pp. 1630-1641
    • Combettes, P.L.1    Trussel, H.J.2
  • 21
    • 20144365032 scopus 로고    scopus 로고
    • Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring and denoising
    • I. Daubechies and G. Teschke, "Variational image restoration by means of wavelets: simultaneous decomposition, deblurring and denoising, " Applied and Computational Harmonic Analysis, Vol. 19, No. 1, pp. 1-16, 2005.
    • (2005) Applied and Computational Harmonic Analysis , vol.19 , Issue.1 , pp. 1-16
    • Daubechies, I.1    Teschke, G.2
  • 24
    • 1642544678 scopus 로고    scopus 로고
    • On effective stopping time selection for visco-plastic nonlinear diffusion filters used in image denoising
    • I.A. Frigaard, G. Ngwa, and O. Scherzer, "On effective stopping time selection for visco-plastic nonlinear diffusion filters used in image denoising, " SIAM Journal on Applied Mathematics, Vol. 63, No. 6, pp. 1911-1934, 2003.
    • (2003) SIAM Journal on Applied Mathematics , vol.63 , Issue.6 , pp. 1911-1934
    • Frigaard, I.A.1    Ngwa, G.2    Scherzer, O.3
  • 26
    • 33746217159 scopus 로고    scopus 로고
    • Variational denoising of partly-textured images by spatially varying constraints
    • To appear in
    • G. Gilboa, N. Sochen, and Y.Y. Zeevi, "Variational denoising of partly-textured images by spatially varying constraints, " To appear in IEEE Transactions on Image Processing, 2006.
    • (2006) IEEE Transactions on Image Processing
    • Gilboa, G.1    Sochen, N.2    Zeevi, Y.Y.3
  • 27
    • 24644456874 scopus 로고    scopus 로고
    • Texture preserving variational denoising using an adaptive fidelity term
    • Nice, France
    • G. Gilboa, N. Sochen, and Y.Y. Zeevi, "Texture preserving variational denoising using an adaptive fidelity term, " In Proc. VLSM 2003, Nice, France, pp. 137-144, 2003.
    • (2003) Proc. VLSM 2003 , pp. 137-144
    • Gilboa, G.1    Sochen, N.2    Zeevi, Y.Y.3
  • 28
    • 24644511636 scopus 로고    scopus 로고
    • Estimation of optimal PDE-based denoising in the SNR sense
    • Technion, August
    • G. Gilboa, N. Sochen, and Y.Y. Zeevi, "Estimation of optimal PDE-based denoising in the SNR sense, " CCIT report No. 499, Technion, August, see http://www.math.ucla.edu/gilboa/. 2004.
    • (2004) CCIT Report No. 499
    • Gilboa, G.1    Sochen, N.2    Zeevi, Y.Y.3
  • 29
    • 24644489271 scopus 로고    scopus 로고
    • Estimation of the optimal variational parameter via SNR analysis
    • Scale-Space April
    • G. Gilboa, N. Sochen, and Y.Y. Zeevi, "Estimation of the optimal variational parameter via SNR analysis, " In Scale-Space, of Lecture Notes in Computer Science, Vol. 3459, pp. 230-241, April 2005.
    • (2005) Lecture Notes in Computer Science , vol.3459 , pp. 230-241
    • Gilboa, G.1    Sochen, N.2    Zeevi, Y.Y.3
  • 30
    • 24344447102 scopus 로고    scopus 로고
    • Variational methods in image processing
    • A. Haddad and Y. Meyer, "Variational methods in image processing, " UCLA CAM report, 04-52, 2004.
    • (2004) UCLA CAM Report , pp. 04-52
    • Haddad, A.1    Meyer, Y.2
  • 32
    • 0038508524 scopus 로고    scopus 로고
    • Oscillating patterns in image processing and in some nonlinear evolution equations
    • March
    • Yves Meyer, "Oscillating patterns in image processing and in some nonlinear evolution equations, " The Fifteenth Dean Jacquelines B. Lewis Memorial Lectures, March 2001.
    • (2001) The Fifteenth Dean Jacquelines B. Lewis Memorial Lectures
    • Meyer, Y.1
  • 33
    • 0000739264 scopus 로고
    • On the solution of functional equations by the method of regularization
    • V. A. Morosov, "On the solution of functional equations by the method of regularization, " Soviet Math. Dokl., Vol. 7, pp. 414-417, 1966.
    • (1966) Soviet Math. Dokl. , vol.7 , pp. 414-417
    • Morosov, V.A.1
  • 34
    • 1242284980 scopus 로고    scopus 로고
    • A variational approach to remove outliers and impulse noise
    • M. Nikolova, "A variational approach to remove outliers and impulse noise, " JMIV, Vol. 20, No. 1-2, pp. 99-120, 2004.
    • (2004) JMIV , vol.20 , Issue.1-2 , pp. 99-120
    • Nikolova, M.1
  • 35
    • 67349244565 scopus 로고    scopus 로고
    • On the use of dual norms in bounded variation type regularization
    • A. Obereder, S. Osher, and O. Sherzer, "On the use of dual norms in bounded variation type regularization, " UCLA CAM report 04-35, 2004.
    • (2004) UCLA CAM Report , vol.4 , Issue.35
    • Obereder, A.1    Osher, S.2    Sherzer, O.3
  • 36
    • 19844370110 scopus 로고    scopus 로고
    • An iterative regularization method for total variation based image restoration
    • S. Osher, M. Burger, D. Goldfarb, J. Xu, and W. Yin, "An iterative regularization method for total variation based image restoration, " Multiscale Modeling and Simulations, Vol. 4, No. 2, pp. 460-489, 2005.
    • (2005) Multiscale Modeling and Simulations , vol.4 , Issue.2 , pp. 460-489
    • Osher, S.1    Burger, M.2    Goldfarb, D.3    Xu, J.4    Yin, W.5
  • 37
    • 33646696727 scopus 로고    scopus 로고
    • G-norm properties of bounded variation regularization
    • S. Osher and O. Sherzer, "G-norm properties of bounded variation regularization, " UCLA CAM report 04-23, 2004.
    • (2004) UCLA CAM Report , vol.4 , Issue.23
    • Osher, S.1    Sherzer, O.2
  • 39
    • 0038681971 scopus 로고    scopus 로고
    • Selection of optimal stopping time for nonlinear diffusion filtering
    • M. Navara P. Mrázek, "Selection of optimal stopping time for nonlinear diffusion filtering, " IJCV, Vol. 52, No. 2/3, pp. 189-203, 2003.
    • (2003) IJCV , vol.52 , Issue.2-3 , pp. 189-203
    • Navara, M.1    Mrázek, P.2
  • 40
    • 0025465145 scopus 로고
    • Scale-space and edge detection using anisotropic diffusion
    • P. Perona and J. Malik, "Scale-space and edge detection using anisotropic diffusion, " PAMI, Vol. 12, No. 7, pp. 629-639, 1990.
    • (1990) PAMI , vol.12 , Issue.7 , pp. 629-639
    • Perona, P.1    Malik, J.2
  • 42
    • 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, pp. 259-268, 1992.
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 43
    • 24644469646 scopus 로고    scopus 로고
    • Efficient Beltrami flow using a short time kernel
    • Scale-Space January
    • Alon Spira, Ron Kimmel, and Nir Sochen, "Efficient Beltrami flow using a short time kernel, " In Scale-Space, of Lecture Notes in Computer Science, Vol. 2695, pp. 511-522, January 2003.
    • (2003) Lecture Notes in Computer Science , vol.2695 , pp. 511-522
    • Spira, A.1    Kimmel, R.2    Sochen, N.3
  • 44
    • 27744574209 scopus 로고    scopus 로고
    • Image decomposition: Separation of texture from piecewise smooth content
    • J.L. Starck, M. Elad, and D.L. Donoho. "Image decomposition: separation of texture from piecewise smooth content, " IEEE Transactions on Image Processing, Vol. 14, No. 10, pp. 1570-1582, 2005.
    • (2005) IEEE Transactions on Image Processing , vol.14 , Issue.10 , pp. 1570-1582
    • Starck, J.L.1    Elad, M.2    Donoho, D.L.3
  • 46
    • 0347900511 scopus 로고    scopus 로고
    • Modeling textures with total variation minimization and oscillating patterns in image processing
    • L.A. Vese and S.J. Osher, "Modeling textures with total variation minimization and oscillating patterns in image processing, " Journal of Scientific Computing, Vol. 19, pp. 553-572, 2003.
    • (2003) Journal of Scientific Computing , vol.19 , pp. 553-572
    • Vese, L.A.1    Osher, S.J.2
  • 48
    • 0033100270 scopus 로고    scopus 로고
    • Coherence-enhancing diffusion of colour images
    • J. Weickert, "Coherence-enhancing diffusion of colour images, " IVC, Vol. 17, pp. 201-212, 1999.
    • (1999) IVC , vol.17 , pp. 201-212
    • Weickert, J.1
  • 49
    • 33646592791 scopus 로고    scopus 로고
    • Total variation based image cartoon-texture decomposition
    • Wotao Yin, Donald Goldfarb, and Stanley Osher, "Total variation based image cartoon-texture decomposition, " UCLA CAM Report 05-27, 2005.
    • (2005) UCLA CAM Report , vol.5 , Issue.27
    • Yin, W.1    Goldfarb, D.2    Osher, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.