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Volumn 60, Issue 1, 1999, Pages 156-182

Computing optical flow via variational techniques

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; IMAGE ANALYSIS; MATHEMATICAL MODELS; OPTICAL FLOWS; PROBLEM SOLVING; VARIATIONAL TECHNIQUES;

EID: 0343193150     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139998340170     Document Type: Article
Times cited : (205)

References (64)
  • 1
    • 36149030663 scopus 로고
    • Analysis of bounded variation penalty methods for ill-posed problems
    • R. ACART AND C.R. VOGEL, Analysis of bounded variation penalty methods for ill-posed problems, Inverse Problems, 10 (1994), pp. 1217-1229.
    • (1994) Inverse Problems , vol.10 , pp. 1217-1229
    • Acart, R.1    Vogel, C.R.2
  • 2
    • 84997216932 scopus 로고
    • Gibbs random field model based 3-d motion estimation by weakened rigidity
    • IEEE, Piscataway, NJ
    • A.A. ALATAN AND L. ONURAL, Gibbs random field model based 3-d motion estimation by weakened rigidity, in Proceedings International Conference on Image Processing, vol. 2, IEEE, Piscataway, NJ, 1994, pp. 790-794.
    • (1994) Proceedings International Conference on Image Processing , vol.2 , pp. 790-794
    • Alatan, A.A.1    Onural, L.2
  • 3
    • 0001400376 scopus 로고
    • A compactness theorem for a new class of functions of bounded variation
    • L. AMBROSIO, A compactness theorem for a new class of functions of bounded variation, Boll. Un. Mat. Ital. VII Ser. B, 3 (1989), pp. 857-881.
    • (1989) Boll. Un. Mat. Ital. VII Ser. B , vol.3 , pp. 857-881
    • Ambrosio, L.1
  • 4
    • 34748925841 scopus 로고
    • Approximation of functional depending on jumps by elliptics functional via γ-convergence
    • L. AMBROSIO AND V.M. TORTORELLI, Approximation of functional depending on jumps by elliptics functional via γ-convergence, Comm. Pure Appl. Math., 43 (1990), pp. 999-1036.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 999-1036
    • Ambrosio, L.1    Tortorelli, V.M.2
  • 6
    • 0033211788 scopus 로고    scopus 로고
    • A mathematical study of the relaxed optical flow problem in the space BV (Ω)
    • G. AUBERT AND P. KORNPROBST, A mathematical study of the relaxed optical flow problem in the space BV (Ω), SIAM J. Math. Anal., 3C (1999), pp. 1282-1308.
    • (1999) SIAM J. Math. Anal. , vol.3 C , pp. 1282-1308
    • Aubert, G.1    Kornprobst, P.2
  • 7
    • 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., 34 (1997), pp. 1948-1979.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1948-1979
    • Aubert, G.1    Vese, L.2
  • 12
    • 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, Numer. Math., 76 (1997), pp. 167-188.
    • (1997) Numer. Math. , vol.76 , pp. 167-188
    • Chambolle, A.1    Lions, P.-L.2
  • 14
    • 0001574079 scopus 로고
    • Nonlinear variational method for optical flow computation
    • World Scientific, River Edge, NJ
    • I. COHEN, Nonlinear variational method for optical flow computation, in Proceedings 8th Scandinavian Conference on Image Analysis, vol. 1, World Scientific, River Edge, NJ, 1993, pp. 523-530.
    • (1993) Proceedings 8th Scandinavian Conference on Image Analysis , vol.1 , pp. 523-530
    • Cohen, I.1
  • 15
    • 0001020536 scopus 로고
    • Convex functions of a measure and applications
    • F. DEMENGEL AND R. TEMAM, Convex functions of a measure and applications, Indiana Univ. Math. J., 33 (1984), pp. 673-709.
    • (1984) Indiana Univ. Math. J. , vol.33 , pp. 673-709
    • Demengel, F.1    Temam, R.2
  • 16
    • 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, 13 (1996).
    • (1996) Traitement du Signal , vol.13
    • Deriche, R.1    Faugeras, O.2
  • 17
    • 0001506302 scopus 로고
    • Optical flow estimation while preserving its discontinuities: A variational approach
    • Singapore, Springer-Verlag, New York
    • R. DERICHE, P. KORNPROBST, AND G. AUBERT, Optical flow estimation while preserving its discontinuities: A variational approach, in Proceedings of the 2nd Asian Conference on Computer Vision, Singapore, 1995, Springer-Verlag, New York, 1997, pp. 290-295.
    • (1995) Proceedings of the 2nd Asian Conference on Computer Vision , pp. 290-295
    • Deriche, R.1    Kornprobst, P.2    Aubert, G.3
  • 18
    • 0030382518 scopus 로고    scopus 로고
    • Estimation of compressible or incompressible deformable motions for density images
    • IEEE, Piscataway, NJ
    • V. DEVLAMINCK AND J.P. DUBUS, Estimation of compressible or incompressible deformable motions for density images, in Proceedings International Conference on Image Processing, 1996, vol. 1, IEEE, Piscataway, NJ, 1997, pp. 125-128.
    • (1996) Proceedings International Conference on Image Processing , vol.1 , pp. 125-128
    • Devlaminck, V.1    Dubus, J.P.2
  • 20
    • 0003372936 scopus 로고
    • Geometric measure theory
    • Springer-Verlag, Berlin, Heidelberg, New York
    • H. FEDERER, Geometric Measure Theory, Classics Math. 153, Springer-Verlag, Berlin, Heidelberg, New York, 1969.
    • (1969) Classics Math. , vol.153
    • Federer, H.1
  • 21
    • 0002260696 scopus 로고
    • Computation of component image velocity from local phase information
    • D.J. FLEET AND A.D. JEPSON, Computation of component image velocity from local phase information, Internat. J. Computer Vision, 5 (1990), pp. 77-104.
    • (1990) Internat. J. Computer Vision , vol.5 , pp. 77-104
    • Fleet, D.J.1    Jepson, A.D.2
  • 25
    • 84972542010 scopus 로고
    • Sublinear functions of measures and variational integrals
    • C. GOFFMAN AND J. SERRIN, Sublinear functions of measures and variational integrals, Duke Math J., 31 (1964), pp. 159-178.
    • (1964) Duke Math J. , vol.31 , pp. 159-178
    • Goffman, C.1    Serrin, J.2
  • 26
    • 0030399996 scopus 로고    scopus 로고
    • Accurate estimation of discontinuous optical flow by minimizing divergence related functionals
    • IEEE, Piscataway, NJ
    • F. GUICHARD AND L. RUDIN, Accurate estimation of discontinuous optical flow by minimizing divergence related functionals, in Proceedings International Conference on Image Processing, 1996, vol. 1, IEEE, Piscataway, NJ, 1997, pp. 497-500.
    • (1996) Proceedings International Conference on Image Processing , vol.1 , pp. 497-500
    • Guichard, F.1    Rudin, L.2
  • 27
    • 0030401805 scopus 로고    scopus 로고
    • On div-curl regularization for motion estimation in 3-d volumetric imaging
    • IEEE, Piscataway, NJ, 1996
    • S.N. GUPTA AND J.L. PRINCE, On div-curl regularization for motion estimation in 3-d volumetric imaging, in Proceedings International Conference on Image Processing, 1996, IEEE, Piscataway, NJ, 1996, pp. 929-932.
    • (1996) Proceedings International Conference on Image Processing , pp. 929-932
    • Gupta, S.N.1    Prince, J.L.2
  • 28
    • 0027807652 scopus 로고
    • Multimodal estimation of discontinuous optical flow using markov random fields
    • F. HEITZ AND P. BOUTHEMY, Multimodal estimation of discontinuous optical flow using markov random fields, IEEE Trans. Pattern Analysis and Machine Intelligence, 15 (1993), pp. 1217-1232.
    • (1993) IEEE Trans. Pattern Analysis and Machine Intelligence , vol.15 , pp. 1217-1232
    • Heitz, F.1    Bouthemy, P.2
  • 29
    • 0003890806 scopus 로고
    • MIT Press, Cambridge, MA
    • B.K. HORN, Robot Vision, MIT Press, Cambridge, MA, 1986.
    • (1986) Robot Vision
    • Horn, B.K.1
  • 31
    • 0022636017 scopus 로고
    • Optic flow
    • JAN J. KOENDERINK, Optic flow, Vision Res., 26 (1986), pp. 161-180.
    • (1986) Vision Res. , vol.26 , pp. 161-180
    • Koenderink, J.J.1
  • 32
    • 0016758030 scopus 로고
    • Invariant properties of the motion parallax field due to the movement of rigid bodies relative to an observer
    • JAN J. KOENDERINK AND A. J. VAN DOORN, Invariant properties of the motion parallax field due to the movement of rigid bodies relative to an observer, Optica Acta, 22 (1975), pp. 717-723.
    • (1975) Optica Acta , vol.22 , pp. 717-723
    • Koenderink, J.J.1    Van Doorn, A.J.2
  • 33
    • 0039525697 scopus 로고
    • How an ambulant observer can construct a model of the environment from the geometrical structure of the visual inflow
    • G. Hauske and E. Butenandt, eds., Oldenburg, Muenchen
    • JAN J. KOENDERINK AND A. J. VAN DOORN, How an ambulant observer can construct a model of the environment from the geometrical structure of the visual inflow, in Kybernetik 1978, G. Hauske and E. Butenandt, eds., Oldenburg, Muenchen, 1978.
    • (1978) Kybernetik 1978
    • Koenderink, J.J.1    Van Doorn, A.J.2
  • 39
    • 0019647180 scopus 로고
    • An iterative image registration technique with an application to stereo vision
    • Morgan Kaufmann Publishers, San Francisco, CA
    • B. LUCAS AND T. KANADE, An iterative image registration technique with an application to stereo vision, in Proceedings International Joint Conference on Artificial Intelligence, Morgan Kaufmann Publishers, San Francisco, CA, 1981, pp. 674-679.
    • (1981) Proceedings International Joint Conference on Artificial Intelligence , pp. 674-679
    • Lucas, B.1    Kanade, T.2
  • 41
    • 84997283843 scopus 로고
    • Motion estimation relaxing the constant brightness constraint
    • IEEE, Piscataway, NJ, 1994
    • M. MATTAVELLI AND A. NICOULIN, Motion estimation relaxing the constant brightness constraint, in Proceedings International Conference on Image Processing, 1994, vol. 2, IEEE, Piscataway, NJ, 1994, pp. 770-774.
    • (1994) Proceedings International Conference on Image Processing , vol.2 , pp. 770-774
    • Mattavelli, M.1    Nicoulin, A.2
  • 42
    • 0032316799 scopus 로고    scopus 로고
    • A multigrid approach for hierarchical motion estimation
    • IEEE Computer Society Press, Los Alamitos, CA
    • E. MÉMIN AND P. PÉREZ, A multigrid approach for hierarchical motion estimation, in Proceedings International Conference on Computer Vision, IEEE Computer Society Press, Los Alamitos, CA, 1998, pp. 933-938.
    • (1998) Proceedings International Conference on Computer Vision , pp. 933-938
    • Mémin, E.1    Pérez, P.2
  • 43
    • 85037964176 scopus 로고    scopus 로고
    • Dense estimation and object-oriented segmentation of the optical flow with robust techniques
    • IRISA, Rennes, Cedex France
    • E. MÉMIN, P. PÉREZ, AND D. MACHECOURT, Dense Estimation and Object-oriented Segmentation of the Optical Flow with Robust Techniques, Technical report 991, IRISA, Rennes, Cedex France, 1996.
    • (1996) Technical Report , vol.991
    • Mémin, E.1    Pérez, P.2    Machecourt, D.3
  • 44
    • 0001253780 scopus 로고
    • p-estimate, for the gradient of solutions of second order elliptic divergence equations
    • p-estimate, for the gradient of solutions of second order elliptic divergence equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci.. 3 (1963), pp. 189-206.
    • (1963) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.3 , pp. 189-206
    • Meyers, N.G.1
  • 45
    • 84972585107 scopus 로고
    • Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
    • N.G. MEYERS AND A. ELCRAT, Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions, Duke Math. J.. 42 (1975), pp. 121-136.
    • (1975) Duke Math. J. , vol.42 , pp. 121-136
    • Meyers, N.G.1    Elcrat, A.2
  • 46
    • 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., 42 (1989), pp. 577-684.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 577-684
    • Mumford, D.1    Shah, J.2
  • 47
    • 0023446912 scopus 로고
    • On the estimation of optical flow: Relations between different approaches and some new results
    • H.H. NAGEL, On the estimation of optical flow: Relations between different approaches and some new results, Artificial Intelligence, 33 (1987), pp. 299-324.
    • (1987) Artificial Intelligence , vol.33 , pp. 299-324
    • Nagel, H.H.1
  • 48
    • 0001912044 scopus 로고
    • Direct estimation of optical flow end of its derivatives
    • G.A. Orban and H.H. Nagel, eds., Basic Research Series, Springer-Verlag, New York
    • H.H. NAGEL, Direct estimation of optical flow end of its derivatives, in Artificial and Biological Vision Systems, G.A. Orban and H.H. Nagel, eds., Basic Research Series, Springer-Verlag, New York, 1992, pp. 191-224.
    • (1992) Artificial and Biological Vision Systems , pp. 191-224
    • Nagel, H.H.1
  • 49
    • 84939359799 scopus 로고
    • An investigation of smoothness constraint for the estimation of displacement vector fields from images sequences
    • H.H. NAGEL AND W. ENKELMANN, An investigation of smoothness constraint for the estimation of displacement vector fields from images sequences, IEEE Trans. Pattern Analysis and Machine Intelligence, 8 (1986), pp. 565-593.
    • (1986) IEEE Trans. Pattern Analysis and Machine Intelligence , vol.8 , pp. 565-593
    • Nagel, H.H.1    Enkelmann, W.2
  • 51
    • 0027667659 scopus 로고
    • Variational approach to optical flow estimation managing discontinuities
    • P. NÉSI, Variational approach to optical flow estimation managing discontinuities, Image and Vision Computing, 11 (1993), pp. 419-439.
    • (1993) Image and Vision Computing , vol.11 , pp. 419-439
    • Nési, P.1
  • 52
    • 0009159080 scopus 로고    scopus 로고
    • Estimation du flot optique en présence de discontinuités: Une revue
    • M. ORKISZ AND P. CLARYSSE, Estimation du flot optique en présence de discontinuités: Une revue, Traitement du Signal, 13 (1996), pp. 489-513.
    • (1996) Traitement du Signal , vol.13 , pp. 489-513
    • Orkisz, M.1    Clarysse, P.2
  • 53
    • 85028858236 scopus 로고
    • Optical flow estimation: Advances and comparisons
    • Proceedings of the 3rd European Conference on Computer Vision, Jan-Olof Eklundh, ed., Springer-Verlag, New York
    • M. OTTE AND H.H. NAGEL, Optical flow estimation: Advances and comparisons, in Proceedings of the 3rd European Conference on Computer Vision, Lecture Notes in Comput. Sci. 800, Jan-Olof Eklundh, ed., Springer-Verlag, New York, 1994, pp. 51-70.
    • (1994) Lecture Notes in Comput. Sci. , vol.800 , pp. 51-70
    • Otte, M.1    Nagel, H.H.2
  • 55
    • 85006658860 scopus 로고
    • Determination of optical flow and its discontinuities using non-linear diffusion
    • Proceedings of the 3rd European Conference on Computer Vision, Springer-Verlag, New York
    • M. PROESMANS, L. VAN GOOL, E. PAUWELS, AND A. OOSTERLINCK, Determination of optical flow and its discontinuities using non-linear diffusion, in Proceedings of the 3rd European Conference on Computer Vision, vol. 2, Lecture Notes in Comput. Sci. 801, Springer-Verlag, New York, 1994, pp. 295-304.
    • (1994) Lecture Notes in Comput. Sci. , vol.2-801 , pp. 295-304
    • Proesmans, M.1    Van Gool, L.2    Pauwels, E.3    Oosterlinck, A.4
  • 56
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L. 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.1    Osher, S.2    Fatemi, E.3
  • 57
    • 0026134980 scopus 로고
    • Determining optical flow for irregular domains by minimizing quadratic functionals of a certain class
    • C. SCHNÖRR, Determining optical flow for irregular domains by minimizing quadratic functionals of a certain class, Internat. J. Comput. Vision, 6 (1991), pp. 25-38.
    • (1991) Internat. J. Comput. Vision , vol.6 , pp. 25-38
    • Schnörr, C.1
  • 59
    • 0029214302 scopus 로고
    • Computation of coherent optical flow by using multiple constraints
    • IEEE Computer Society Press, Los Alamitos, CA
    • M. TISTARELLI, Computation of coherent optical flow by using multiple constraints, in Proceedings International Conference on Computer Vision, IEEE Computer Society Press, Los Alamitos, CA, 1995, pp. 263-268.
    • (1995) Proceedings International Conference on Computer Vision , pp. 263-268
    • Tistarelli, M.1
  • 60
    • 0000439876 scopus 로고
    • Differential techniques for optical flow
    • A. VERRI, F. GIROSI, AND V. TORRE, Differential techniques for optical flow, J. Opt. Soc. Amer. A, 7 (1990), pp. 912-922.
    • (1990) J. Opt. Soc. Amer. A , vol.7 , pp. 912-922
    • Verri, A.1    Girosi, F.2    Torre, V.3
  • 63
    • 0026219601 scopus 로고
    • Experimental evaluation of motion constraint equations
    • D. WILLICK AND Y.-H. YANG, Experimental evaluation of motion constraint equations, Comput. Vision Graphics Image Process., 54 (1991), pp. 206-214.
    • (1991) Comput. Vision Graphics Image Process , vol.54 , pp. 206-214
    • Willick, D.1    Yang, Y.-H.2


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