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Volumn 29, Issue 6, 2007, Pages 2283-2304

Simultaneous higher-order optical flow estimation and decomposition

Author keywords

Convex optimization; Divergence free flows; Dual optimization techniques; Higherorder regularization; Mimetic finite difference method; Optical flow decomposition; Optical flow estimation; Second order cone programming

Indexed keywords

FINITE DIFFERENCE METHOD; MATHEMATICAL OPERATORS; OPTICAL FLOWS;

EID: 54249097825     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/060660709     Document Type: Article
Times cited : (47)

References (37)
  • 2
    • 0343193150 scopus 로고    scopus 로고
    • Computing optical flow via variational techniques
    • G. AUBERT, R. DERICHE, and P. KORNPROBST, Computing optical flow via variational techniques, SIAM J. Appl. Math., 60 (1999), pp. 156-182.
    • (1999) SIAM J. Appl. Math , vol.60 , pp. 156-182
    • AUBERT, G.1    DERICHE, R.2    KORNPROBST, P.3
  • 3
    • 35248822315 scopus 로고    scopus 로고
    • Image decomposition application to SAR images
    • Scale-Space Methods in Computer Vision, L. D. Griffin and M. Lilholm, eds, Springer, Berlin
    • J.-F. AUJOL, G. AUBERT, L. BLANC-F́ eraud, and A. CHAMBOLLE, Image decomposition application to SAR images, in Scale-Space Methods in Computer Vision, L. D. Griffin and M. Lilholm, eds. Lecture Notes in Comput. Sci. 2695, Springer, Berlin, 2003, pp. 297-312.
    • (2003) Lecture Notes in Comput. Sci , vol.2695 , pp. 297-312
    • AUJOL, J.-F.1    AUBERT, G.2    BLANC-F́ eraud, L.3    CHAMBOLLE, A.4
  • 4
    • 14844353365 scopus 로고    scopus 로고
    • Dual norms and image decomposition models
    • J. F. AUJOL and A. CHAMBOLLE, Dual norms and image decomposition models, Int. J. Computer Vision, 63 (2005), pp. 85-104.
    • (2005) Int. J. Computer Vision , vol.63 , pp. 85-104
    • AUJOL, J.F.1    CHAMBOLLE, A.2
  • 5
    • 33644533840 scopus 로고    scopus 로고
    • STRUCTURE-texture image decomposition-M ODELING, algorithms, and parameter selection
    • J. F. AUJOL, G. GILBOA, T. CHAN, and S. OSHER STRUCTURE-texture image decomposition-M ODELING, algorithms, and parameter selection, INTERNAT. J. COMPUTER VISION, 67 (2001), pp. 111-136.
    • (2001) INTERNAT. J. COMPUTER VISION , vol.67 , pp. 111-136
    • AUJOL, J.F.1    GILBOA, G.2    CHAN, T.3    OSHER, S.4
  • 6
    • 24644484251 scopus 로고    scopus 로고
    • 1-unified variational frame-work for image restoration
    • ECCV, T. Pajdla and J. Matas, eds, Springer, Berlin-Heidelberg
    • 1-unified variational frame-work for image restoration, in ECCV 2004, T. Pajdla and J. Matas, eds., Lecture Notes in Comput. Sci. 3024, Springer, Berlin-Heidelberg, 2004, pp. 1-13.
    • (2004) Lecture Notes in Comput. Sci , vol.3024 , pp. 1-13
    • BECT, J.1    BLANC-F́ eraud, L.2    AUBERT, G.3    CHAMBOLLE, A.4
  • 7
    • 1242352408 scopus 로고    scopus 로고
    • An algorithm for total variation minimization and applications
    • A. CHAMBOLLE, An algorithm for total variation minimization and applications, J. Math. Imaging and Vision, 20 (2004), pp. 89-97.
    • (2004) J. Math. Imaging and Vision , vol.20 , pp. 89-97
    • CHAMBOLLE, A.1
  • 8
    • 0035074671 scopus 로고    scopus 로고
    • High-order total variation-based image restoration
    • T. CHAN, A. MARQUINA, and P. MULET, High-order total variation-based image restoration, SIAM J. Sci. Comput., 22 (2000), pp. 503-516.
    • (2000) SIAM J. Sci. Comput , vol.22 , pp. 503-516
    • CHAN, T.1    MARQUINA, A.2    MULET, P.3
  • 10
    • 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, Appl. Comput. Harmonic Anal., 19 (2005), pp. 1-16.
    • (2005) Appl. Comput. Harmonic Anal , vol.19 , pp. 1-16
    • DAUBECHIES, I.1    TESCHKE, G.2
  • 12
    • 33645038355 scopus 로고    scopus 로고
    • Second-order cone programming methods for total variation-based image restoration
    • D. GOLDFARB and W. YIN, Second-order cone programming methods for total variation-based image restoration, SIAM J. Sci. Comput., 27 (2005), pp. 622-645.
    • (2005) SIAM J. Sci. Comput , vol.27 , pp. 622-645
    • GOLDFARB, D.1    YIN, W.2
  • 13
    • 0030399996 scopus 로고    scopus 로고
    • Accurate estimation of discontinuous optical flow by minimizing divergence related functionals
    • Lausanne, Switzerland
    • F. GUICHARD and L. RUDIN, Accurate estimation of discontinuous optical flow by minimizing divergence related functionals, in Proceedings of the IEEE International Conference on Image Processing (ICIP), Lausanne, Switzerland, 1996, volume I, pp. 497-500.
    • (1996) Proceedings of the IEEE International Conference on Image Processing (ICIP) , vol.1 , pp. 497-500
    • GUICHARD, F.1    RUDIN, L.2
  • 14
    • 0030085909 scopus 로고    scopus 로고
    • Stochastic models for div-curl optical flow methods
    • S. GUPTA and J. PRINCE, Stochastic models for div-curl optical flow methods, Signal Process. Lett., 3 (1996), pp. 32-34.
    • (1996) Signal Process. Lett , vol.3 , pp. 32-34
    • GUPTA, S.1    PRINCE, J.2
  • 16
    • 0019698606 scopus 로고
    • Determining optical flow
    • B. HORN and B. SCHUNCK, Determining optical flow, Artificial Intell., 17 (1981), pp. 185-203.
    • (1981) Artificial Intell , vol.17 , pp. 185-203
    • HORN, B.1    SCHUNCK, B.2
  • 17
    • 0031071242 scopus 로고    scopus 로고
    • Natural discretizations for the divergence, gradient, and curl on logically rectangular grids
    • J. M. HYMAN and M. J. SHASHKOV, Natural discretizations for the divergence, gradient, and curl on logically rectangular grids, Comput. Math. Appl., 33 (1997), pp. 81-104.
    • (1997) Comput. Math. Appl , vol.33 , pp. 81-104
    • HYMAN, J.M.1    SHASHKOV, M.J.2
  • 19
    • 0034498205 scopus 로고    scopus 로고
    • Decomposition of mixed layer turbulence into coherent structures and background fluctations
    • J. LEWALLE, J. DELVILLE, and J.-P. BONNET, Decomposition of mixed layer turbulence into coherent structures and background fluctations, Appl. Sci. Res., 64 (2000), pp. 301-328.
    • (2000) Appl. Sci. Res , vol.64 , pp. 301-328
    • LEWALLE, J.1    DELVILLE, J.2    BONNET, J.-P.3
  • 21
    • 0038508524 scopus 로고    scopus 로고
    • Oscillating Patterns in Image Processing and Nonlinear Evolution Equations
    • AMS, Providence, RI
    • Y. MEYER, Oscillating Patterns in Image Processing and Nonlinear Evolution Equations, University Lecture Series 22, AMS, Providence, RI, 2001.
    • (2001) University Lecture Series , vol.22
    • MEYER, Y.1
  • 22
    • 3142688043 scopus 로고    scopus 로고
    • An independent benchmarking of SDP and SOCP solvers
    • H. MITTELMANN, An independent benchmarking of SDP and SOCP solvers, Math. Program. Ser. B, 95 (2003), pp. 407-430.
    • (2003) Math. Program. Ser. B , vol.95 , pp. 407-430
    • MITTELMANN, H.1
  • 23
    • 0038042413 scopus 로고    scopus 로고
    • Minimizers of cost-functions involving nonsmooth data-fidelity terms. Application to the processing of outliers
    • M. NIKOLOVA, Minimizers of cost-functions involving nonsmooth data-fidelity terms. Application to the processing of outliers, SIAM J. Numer. Anal., 40 (2002), pp. 965-994.
    • (2002) SIAM J. Numer. Anal , vol.40 , pp. 965-994
    • NIKOLOVA, M.1
  • 26
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L. I. RUDIN, S. OSHER, and E. FATEMI, Nonlinear total variation based noise removal algorithms, Phys. D, 60 (1992), pp. 259-268.
    • (1992) Phys. D , vol.60 , pp. 259-268
    • RUDIN, L.I.1    OSHER, S.2    FATEMI, E.3
  • 28
    • 27744574209 scopus 로고    scopus 로고
    • Image decomposition via the combination of sparse representations and a variational approach
    • J.-L. STARCK, M. ELAD, and D. L. DONOHO, Image decomposition via the combination of sparse representations and a variational approach, IEEE Trans. Image Process., 14 (2005), pp. 1570-1582.
    • (2005) IEEE Trans. Image Process , vol.14 , pp. 1570-1582
    • STARCK, J.-L.1    ELAD, M.2    DONOHO, D.L.3
  • 29
    • 27644449659 scopus 로고    scopus 로고
    • A note on the dual treatment of higher order regularization functionals
    • G. STEIDL, A note on the dual treatment of higher order regularization functionals, Computing, 76 (2005), pp. 135-148.
    • (2005) Computing , vol.76 , pp. 135-148
    • STEIDL, G.1
  • 31
    • 0036003411 scopus 로고    scopus 로고
    • Global and uniform convergence of subspace correction methods for some convex optimization problems
    • X.-C. TAI and J. XU, Global and uniform convergence of subspace correction methods for some convex optimization problems, Math. Comput., 71 (2002), pp. 105-124.
    • (2002) Math. Comput , vol.71 , pp. 105-124
    • TAI, X.-C.1    XU, J.2
  • 32
    • 0347900511 scopus 로고    scopus 로고
    • Modeling textures with total variation minimization and oscillating patterns in image processing
    • L. VESE and S. OSHER, Modeling textures with total variation minimization and oscillating patterns in image processing, J. Sci. Comput., 19 (2003), pp. 553-572.
    • (2003) J. Sci. Comput , vol.19 , pp. 553-572
    • VESE, L.1    OSHER, S.2
  • 33
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • J. XU, Iterative methods by space decomposition and subspace correction, SIAM Rev., 34 (1992), pp. 581-613.
    • (1992) SIAM Rev , vol.34 , pp. 581-613
    • XU, J.1
  • 34
    • 33646538693 scopus 로고    scopus 로고
    • Total Variation Based Image Cartoon-Texture Decomposition
    • TR-2005-01, Columbia University, New York
    • W. YIN, D. GOLDFARB, and S. OSHER, Total Variation Based Image Cartoon-Texture Decomposition, Technical Report CORC TR-2005-01, Columbia University, New York, 2005.
    • (2005) Technical Report CORC
    • YIN, W.1    GOLDFARB, D.2    OSHER, S.3
  • 35
    • 24644512965 scopus 로고    scopus 로고
    • Discrete orthogonal decomposition and variational fluid flow estimation
    • Scale Space and PDE Methods in Computer Vision, Springer, New York, pp
    • J. YUAN, R. RUHNAU, E. Ḿ emin, and C. SCHNöRR, Discrete orthogonal decomposition and variational fluid flow estimation, in Scale Space and PDE Methods in Computer Vision, Lecture Notes in Comput. Sci. 3459, Springer, New York, pp. 267-278.
    • Lecture Notes in Comput. Sci , vol.3459 , pp. 267-278
    • YUAN, J.1    RUHNAU, R.2    emin, E.M.3    SCHNöRR, C.4
  • 36
    • 33646589652 scopus 로고    scopus 로고
    • A study of non-smooth convex flow decomposition
    • Proceedings of the Variational, Geometric and Level Set Methods in Computer Vision, Springer, New York
    • J. YUAN, C. SCHNöRR, G. STEIDL, and F. BECKER, A study of non-smooth convex flow decomposition, in Proceedings of the Variational, Geometric and Level Set Methods in Computer Vision, Lecture Notes in Comput. Sci. 3752, Springer, New York, 2005, pp. 1-12.
    • (2005) Lecture Notes in Comput. Sci , vol.3752 , pp. 1-12
    • YUAN, J.1    SCHNöRR, C.2    STEIDL, G.3    BECKER, F.4
  • 37
    • 34548216815 scopus 로고    scopus 로고
    • Discrete orthogonal decomposition and variational fluid flow estimation
    • to appear
    • J. YUAN, C. SCHNöRR, and E. Ḿ emin, Discrete orthogonal decomposition and variational fluid flow estimation, J. Math. Imag. Vision, to appear.
    • J. Math. Imag. Vision
    • YUAN, J.1    SCHNöRR, C.2    emin, E.M.3


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