메뉴 건너뛰기




Volumn 66, Issue 1, 2006, Pages 5-18

Iterative image restoration combining total variation minimization and a second-order functional

Author keywords

Characteristic features; Convex combination; Iterative image restoration; PDEs

Indexed keywords

FUNCTIONS; IMAGE ANALYSIS; ITERATIVE METHODS; OPTICAL FILTERS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 29344446686     PISSN: 09205691     EISSN: 15731405     Source Type: Journal    
DOI: 10.1007/s11263-005-3219-7     Document Type: Article
Times cited : (284)

References (21)
  • 1
    • 29344458570 scopus 로고    scopus 로고
    • Low curvature image simplifiera: Global regularity of smooth solutions and laplacian limiting schemes
    • UCLA, Applied mathematics
    • Bertozzi, A.L. and Greer, J.B. 2003. Low curvature image simplifiera: Global regularity of smooth solutions and laplacian limiting schemes. Tech. rep. (03-26), UCLA, Applied mathematics.
    • (2003) Tech. Rep. , vol.3 , Issue.26
    • Bertozzi, A.L.1    Greer, J.B.2
  • 2
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total variation minimization and related problems
    • Chambolle, A. and Lions, P-L. 1997. Image recovery via total variation minimization and related problems. Numerische Matematik, 76:167-188.
    • (1997) Numerische Matematik , vol.76 , pp. 167-188
    • Chambolle, A.1    Lions, P.-L.2
  • 5
    • 2142812866 scopus 로고    scopus 로고
    • 1 solutions of a class of fourth order nonlinear equations for image processing
    • Editors: V. Chepyzhov, M. Efendiev, Alain Miranville and Roger Temam
    • 1 solutions of a class of fourth order nonlinear equations for image processing. Discrete and continuous dynamical systems 2004, special issue in honor of Mark Vishik, Editors: V. Chepyzhov, M. Efendiev, Alain Miranville and Roger Temam, 1-2(10): 349-366.
    • (2004) Discrete and Continuous Dynamical Systems 2004, Special Issue in Honor of Mark Vishik , vol.1-2 , Issue.10 , pp. 349-366
    • Greer, J.B.1    Bertozzi, A.L.2
  • 6
    • 84873842927 scopus 로고    scopus 로고
    • Traveling wave solutions of fourth order pdes for image processing
    • UCLA, Applied mathematics
    • Greer, J.B. and Bertozzi, A.L. 2003. Traveling wave solutions of fourth order pdes for image processing. Tech. rep. (03-25), UCLA, Applied mathematics.
    • (2003) Tech. Rep. , vol.3 , Issue.25
    • Greer, J.B.1    Bertozzi, A.L.2
  • 8
    • 0001592307 scopus 로고    scopus 로고
    • BV-type regularization methods for convoluted objects with edge, flat and grey scales
    • Ito, K. and Kunisch, K. 2000. BV-type regularization methods for convoluted objects with edge, flat and grey scales. Inverse Problems, 16:909-928.
    • (2000) Inverse Problems , vol.16 , pp. 909-928
    • Ito, K.1    Kunisch, K.2
  • 10
    • 4544278119 scopus 로고    scopus 로고
    • Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
    • Lysaker, M., Lundervold, A., and Tai, X.-C. 2003. Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time. IEEE Trans. Image Processing, 12(12):1579-1590.
    • (2003) IEEE Trans. Image Processing , vol.12 , Issue.12 , pp. 1579-1590
    • Lysaker, M.1    Lundervold, A.2    Tai, X.-C.3
  • 11
    • 4544240733 scopus 로고    scopus 로고
    • Noise removal using smoothed normals and surface fitting
    • Lysaker, M., Osher, S., and Tai, X.-C. 2004. Noise removal using smoothed normals and surface fitting. IEEE Trans. Image Processing, 13:(10)1345-1357.
    • (2004) IEEE Trans. Image Processing , vol.13 , Issue.10 , pp. 1345-1357
    • Lysaker, M.1    Osher, S.2    Tai, X.-C.3
  • 12
    • 0018453483 scopus 로고
    • Edge preserving smoothing, computer graphics and image processing
    • Nagao, M. and Matsuyama, T. 1979. Edge preserving smoothing, computer graphics and image processing. Computer Graphics and Image Processing, 9(4):394-407.
    • (1979) Computer Graphics and Image Processing , vol.9 , Issue.4 , pp. 394-407
    • Nagao, M.1    Matsuyama, T.2
  • 14
    • 0034412757 scopus 로고    scopus 로고
    • Structural properties of solutions to total variation regularization problems
    • Ring, W. 2000. Structural properties of solutions to total variation regularization problems. M2AN Mathematical Modeling and Numerical Analyses. 34(4):799-810.
    • (2000) M2AN Mathematical Modeling and Numerical Analyses , vol.34 , Issue.4 , pp. 799-810
    • Ring, W.1
  • 15
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • Rudin, L.I., Osher, S., and Fatemi, E. 1992. Nonlinear total variation based noise removal algorithms Physica D, 60:259-268.
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.I.1    Osher, S.2    Fatemi, E.3
  • 16
    • 0031653225 scopus 로고    scopus 로고
    • Denoising with higher order derivatives of bounded variation and an application to parameter estimation
    • Scherzer, O. 1998. Denoising with higher order derivatives of bounded variation and an application to parameter estimation. Computing, 60:1-27.
    • (1998) Computing , vol.60 , pp. 1-27
    • Scherzer, O.1
  • 18
    • 0024051722 scopus 로고
    • The computation of visible-surface representations
    • Terzopoulos, D. 1988. The computation of visible-surface representations. IEEE Trans Pattern Anal Mach Intell, 10(4):417-438.
    • (1988) IEEE Trans Pattern Anal Mach Intell , vol.10 , Issue.4 , pp. 417-438
    • Terzopoulos, D.1
  • 20
    • 0034298888 scopus 로고    scopus 로고
    • Fourth-order partial differential equation tor noise removal
    • You, Y-L. and Kaveh, M. 2000. Fourth-order partial differential equation tor noise removal. IEEE Transactions on Image Pro-cessing, 9(10):1723-1730.
    • (2000) IEEE Transactions on Image Pro-cessing , vol.9 , Issue.10 , pp. 1723-1730
    • You, Y.-L.1    Kaveh, M.2
  • 21
    • 0003320023 scopus 로고
    • Weakly Differentiable Functions
    • Springer-Verlag, New York, Sobolev spaces and functions of bounded variation
    • Ziemer, W. P. 1989. Weakly Differentiable Functions, vol. 120 of Graduate Texts in Mathematics. Springer-Verlag, New York, Sobolev spaces and functions of bounded variation.
    • (1989) Graduate Texts in Mathematics , vol.120
    • Ziemer, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.