메뉴 건너뛰기




Volumn 11, Issue 1, 1999, Pages 5-26

Image sequence analysis via partial differential equations

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; IMAGE QUALITY; IMAGE RECONSTRUCTION; IMAGE SEGMENTATION; MATHEMATICAL MODELS; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS; VARIATIONAL TECHNIQUES;

EID: 0032646628     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008318126505     Document Type: Article
Times cited : (131)

References (75)
  • 1
    • 0000676489 scopus 로고
    • Bayesian algorithms for adaptive change detection in image sequences using markov random fields
    • T. Aach and A. Kaup, "Bayesian algorithms for adaptive change detection in image sequences using markov random fields," Signal Processing: Image Communication, Vol. 7, pp. 147-160, 1995.
    • (1995) Signal Processing: Image Communication , vol.7 , pp. 147-160
    • Aach, T.1    Kaup, A.2
  • 2
    • 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, Vol. 10, pp. 1217-1229, 1994.
    • (1994) Inverse Problems , vol.10 , pp. 1217-1229
    • Acart, R.1    Vogel, C.R.2
  • 3
    • 0026883886 scopus 로고
    • Image selective smoothing and edge detection by nonlinear diffusion
    • L. Alvarez, P.-L. Lions, and J.-M. Morel, "Image selective smoothing and edge detection by nonlinear diffusion," SIAM Journal of Numerical Analysis, Vol. 29, pp. 845-866, 1992.
    • (1992) SIAM Journal of Numerical Analysis , vol.29 , pp. 845-866
    • Alvarez, L.1    Lions, P.-L.2    Morel, J.-M.3
  • 4
    • 0028413507 scopus 로고
    • Signal and image restoration using shock filters and anisotropic diffusion
    • L. Alvarez and L. Mazorra, "Signal and image restoration using shock filters and anisotropic diffusion," SIAM Journal of Numerical Analysis, Vol. 31, No. 2, pp. 590-605, 1994.
    • (1994) SIAM Journal of Numerical Analysis , vol.31 , Issue.2 , pp. 590-605
    • Alvarez, L.1    Mazorra, L.2
  • 5
    • 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. Unione Mat. Ital., Vol. 7, No. 4, pp. 857-881, 1989.
    • (1989) Boll. Unione Mat. Ital. , vol.7 , Issue.4 , pp. 857-881
    • Ambrosio, L.1
  • 6
    • 84968516183 scopus 로고
    • A general chain rule for distributional derivatives
    • L. Ambrosio and G. Dal Maso, "A general chain rule for distributional derivatives," Proc. Am. Math. Soc., Vol. 108, No. 3, pp. 691-702, 1990.
    • (1990) Proc. Am. Math. Soc. , vol.108 , Issue.3 , pp. 691-702
    • Ambrosio, L.1    Dal Maso, G.2
  • 7
    • 84967713042 scopus 로고
    • The euler equation for functionals with linear growth
    • G. Anzellotti, "The euler equation for functionals with linear growth," Trans. Am. Math. Soc., Vol. 290, No. 2, pp. 483-501, 1985.
    • (1985) Trans. Am. Math. Soc. , vol.290 , Issue.2 , pp. 483-501
    • Anzellotti, G.1
  • 9
    • 0345632694 scopus 로고    scopus 로고
    • A mathematical study of the regularized optical flow problem in the space BV(Ω)
    • Université de Nice-Sophia Antipolis, Dec.
    • G. Aubert, R. Deriche, and P. Kornprobst, "A mathematical study of the regularized optical flow problem in the space BV(Ω)," Technical Report 503, Université de Nice-Sophia Antipolis, Dec. 1997.
    • (1997) Technical Report 503
    • Aubert, G.1    Deriche, R.2    Kornprobst, P.3
  • 10
    • 0345200856 scopus 로고    scopus 로고
    • A variational method and its mathematical study in image sequence analysis
    • INRIA, April
    • G. Aubert, R. Deriche, and P. Kornprobst, "A variational method and its mathematical study in image sequence analysis," Technical Report 3415, INRIA, April 1998.
    • (1998) Technical Report 3415
    • Aubert, G.1    Deriche, R.2    Kornprobst, P.3
  • 11
    • 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
  • 12
    • 0032023715 scopus 로고    scopus 로고
    • Robust anisotropic diffusion
    • Special Issue on Partial Differential Equations and Geometry-Driven Diffusion in Image Processing and Analysis
    • M.J. Black, G. Sapiro, D.H. Marimont, and D. Heeger, "Robust anisotropic diffusion," IEEE Trans. Imag. Proc., Vol. 7, No. 3, pp. 421-432, 1998. Special Issue on Partial Differential Equations and Geometry-Driven Diffusion in Image Processing and Analysis.
    • (1998) IEEE Trans. Imag. Proc. , vol.7 , Issue.3 , pp. 421-432
    • Black, M.J.1    Sapiro, G.2    Marimont, D.H.3    Heeger, D.4
  • 14
    • 0032026262 scopus 로고    scopus 로고
    • Color Tv: Total variation methods for restoration of vector-valued images
    • Special Issue on Partial Differential Equations and Geometry-Driven Diffusion in Image Processing and Analysis
    • P. Blomgren and T.F. Chan, "Color Tv: Total variation methods for restoration of vector-valued images," IEEE Trans. Imag. Proc., Vol. 7, No. 3, pp. 304-309, 1998. Special Issue on Partial Differential Equations and Geometry-Driven Diffusion in Image Processing and Analysis.
    • (1998) IEEE Trans. Imag. Proc. , vol.7 , Issue.3 , pp. 304-309
    • Blomgren, P.1    Chan, T.F.2
  • 15
    • 0009230239 scopus 로고    scopus 로고
    • A global method for relaxation
    • Université de Toulon et du Var, May
    • G. Bouchitté, I. Fonseca, and L. Mascarenhas, "A global method for relaxation," Technical report, Université de Toulon et du Var, May 1997.
    • (1997) Technical Report
    • Bouchitté, G.1    Fonseca, I.2    Mascarenhas, L.3
  • 16
    • 84988784679 scopus 로고
    • Noise reduction of image sequences using adaptative motion compensated frame averaging
    • J. Boyce, "Noise reduction of image sequences using adaptative motion compensated frame averaging," in IEEE ICASSP, 1992, Vol. 3, pp. 461-464.
    • (1992) IEEE ICASSP , vol.3 , pp. 461-464
    • Boyce, J.1
  • 17
    • 0029375738 scopus 로고
    • Simultaneous recursive displacement estimation and restoration of noisy-blurred image sequences
    • J.C. Brailean and A.K. Katsaggelos, "Simultaneous recursive displacement estimation and restoration of noisy-blurred image sequences," IEEE Transactions on Image Processing, Vol. 4, No. 9, pp. 1236-1251, 1995.
    • (1995) IEEE Transactions on Image Processing , vol.4 , Issue.9 , pp. 1236-1251
    • Brailean, J.C.1    Katsaggelos, A.K.2
  • 20
    • 85008019126 scopus 로고    scopus 로고
    • Introduction to the special issue on partial differential equations and geometry-driven diffusion in image processing and analysis
    • V. Caselles, J.M. Morel, G. Sapiro, and A. Tannenbaum, "Introduction to the special issue on partial differential equations and geometry-driven diffusion in image processing and analysis," IEEE Transactions on Image Processing, Vol. 7, No. 3, pp. 269-273, 1998.
    • (1998) IEEE Transactions on Image Processing , vol.7 , Issue.3 , pp. 269-273
    • Caselles, V.1    Morel, J.M.2    Sapiro, G.3    Tannenbaum, A.4
  • 21
    • 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., Vol. 76, No. 2, pp. 167-188, 1997.
    • (1997) Numer. Math. , vol.76 , Issue.2 , pp. 167-188
    • Chambolle, A.1    Lions, P.-L.2
  • 22
    • 0001574079 scopus 로고
    • Nonlinear variational method for optical flow computation
    • I. Cohen, "Nonlinear variational method for optical flow computation," in Proceedings 8th SCIA, 1993, Vol. 1, pp. 523-530.
    • (1993) Proceedings 8th SCIA , vol.1 , pp. 523-530
    • Cohen, I.1
  • 23
    • 0345200857 scopus 로고
    • Auxiliary variables and two-step iterative algorithms in computer vision problems
    • L.D. Cohen, Auxiliary variables and two-step iterative algorithms in computer vision problems, ICCV, 1995.
    • (1995) ICCV
    • Cohen, L.D.1
  • 24
    • 84968487220 scopus 로고
    • Image processing through reaction combined with nonlinear diffusion
    • G.-H. Cottet and L. Germain, "Image processing through reaction combined with nonlinear diffusion," Mathematics of Computation, Vol. 61, No. 204, pp. 659-673, 1993.
    • (1993) Mathematics of Computation , vol.61 , Issue.204 , pp. 659-673
    • Cottet, G.-H.1    Germain, L.2
  • 26
    • 0005905589 scopus 로고    scopus 로고
    • Les EDP en traitement des images et vision par ordinateur
    • Technical report, INRIA, Nov. 1995. A more complete version of this Research Report has appeared in the French Revue, (special issue)
    • R. Deriche and O. Faugeras, "Les EDP en traitement des images et vision par ordinateur," Technical report, INRIA, Nov. 1995. A more complete version of this Research Report has appeared in the French Revue, Traitement du Signal, Vol. 13, No. 6, 1996 (special issue).
    • (1996) Traitement du Signal , vol.13 , Issue.6
    • Deriche, R.1    Faugeras, O.2
  • 27
    • 0021457303 scopus 로고
    • Noise reduction in image sequences using motion-compensated temporal filtering
    • E. Dubois and S. Sabri, "Noise reduction in image sequences using motion-compensated temporal filtering," IEEE Transactions on Communications, Vol. 32, No. 7, pp. 826-831, 1984.
    • (1984) IEEE Transactions on Communications , vol.32 , Issue.7 , pp. 826-831
    • Dubois, E.1    Sabri, S.2
  • 29
    • 77956514275 scopus 로고
    • Classics in Mathematics
    • Springer-Verlag, Berlin, Heidelberg, New York
    • H. Federer, Geometric Measure Theory, "Classics in Mathematics," Springer-Verlag, Berlin, Heidelberg, New York, 1969.
    • (1969) Geometric Measure Theory
    • Federer, H.1
  • 31
    • 38249012728 scopus 로고
    • A nonlinear filter for film restoration and other problems in image processing
    • S. Geman, D.E. McClure, and D. Geman, "A nonlinear filter for film restoration and other problems in image processing," CVGIP: Graphical Models and Image Processing, Vol. 54, No. 4, pp. 281-289, 1992.
    • (1992) CVGIP: Graphical Models and Image Processing , vol.54 , Issue.4 , pp. 281-289
    • Geman, S.1    McClure, D.E.2    Geman, D.3
  • 34
    • 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., Vol. 31, pp. 159-178, 1964.
    • (1964) Duke Math J. , vol.31 , pp. 159-178
    • Goffman, C.1    Serrin, J.2
  • 39
    • 84957886703 scopus 로고    scopus 로고
    • A system for reconstruction of missing data in image sequences using sampled 3D SAR models and mrf motion priors
    • Bernard Buxton (Ed.), Cambridge, UK, April
    • A.C. Kokaram and S.J. Godsill, "A system for reconstruction of missing data in image sequences using sampled 3D SAR models and mrf motion priors," in Proceedings of the 4th European Conference on Computer Vision, Bernard Buxton (Ed.), Cambridge, UK, April 1996, pp. 613-624.
    • (1996) Proceedings of the 4th European Conference on Computer Vision , pp. 613-624
    • Kokaram, A.C.1    Godsill, S.J.2
  • 42
    • 0031353235 scopus 로고    scopus 로고
    • Image coupling, restoration and enhancement via PDE's
    • Santa-Barbara, California, Oct.
    • P. Kornprobst, R. Deriche, and G. Aubert, "Image coupling, restoration and enhancement via PDE's," in International Conference on Image Processing, vol. II of III, Santa-Barbara, California, Oct. 1997, pp. 458-461.
    • (1997) International Conference on Image Processing , vol.2-3 , pp. 458-461
    • Kornprobst, P.1    Deriche, R.2    Aubert, G.3
  • 44
    • 0345200852 scopus 로고    scopus 로고
    • Edp, débruitage et réhaussement en traitement d'image: Analyse et contributions
    • AFCET, Jan.
    • P. Kornprobst, R. Deriche, and G. Aubert, "Edp, débruitage et réhaussement en traitement d'image: Analyse et contributions," in 11 ème Congres RFIA, AFCET, Jan. 1998.
    • (1998) 11 Ème Congres RFIA
    • Kornprobst, P.1    Deriche, R.2    Aubert, G.3
  • 46
    • 0030109305 scopus 로고    scopus 로고
    • Image processing: Flows under min/max curvature and mean curvature
    • March
    • R. Malladi and J.A. Sethian, "Image processing: Flows under min/max curvature and mean curvature," Graphical Models and Image Processing, Vol. 58, No. 2, pp. 127-141, March 1996.
    • (1996) Graphical Models and Image Processing , vol.58 , Issue.2 , pp. 127-141
    • Malladi, R.1    Sethian, J.A.2
  • 47
    • 0003805083 scopus 로고
    • Progress in Nonlinear Differential Equations and their Applications, Birkhauser
    • G. Dal Maso, An introduction to Γ-convergence, Progress in Nonlinear Differential Equations and their Applications, Birkhauser, 1993.
    • (1993) An Introduction to Γ-convergence
    • Dal Maso, G.1
  • 48
    • 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, Vol. 3, No. 17, pp. 189-206, 1963.
    • (1963) Ann. Scuola Norm. Sup. Pisa , vol.3 , Issue.17 , pp. 189-206
    • Meyers, N.G.1
  • 49
    • 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., Vol. 42, pp. 121-136, 1975.
    • (1975) Duke Math. J. , vol.42 , pp. 121-136
    • Meyers, N.G.1    Elcrat, A.2
  • 51
    • 0001194005 scopus 로고
    • Segmentation of images by variational methods: A constructive approach
    • J.-M. Morel and S. Solimini, "Segmentation of images by variational methods: A constructive approach," Rev. Math. Univ. Complut. Madrid, Vol. 1, pp. 169-182, 1988.
    • (1988) Rev. Math. Univ. Complut. Madrid , vol.1 , pp. 169-182
    • Morel, J.-M.1    Solimini, S.2
  • 53
    • 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, pp. 577-684, 1989.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 577-684
    • Mumford, D.1    Shah, J.2
  • 54
    • 0025521920 scopus 로고
    • Biased anisotropic diffusion - A unified regularization and diffusion approach to edge detection
    • N. Nordström, "Biased anisotropic diffusion - A unified regularization and diffusion approach to edge detection," Image and Vision Computing, Vol. 8, No. 11, pp. 318-327, 1990.
    • (1990) Image and Vision Computing , vol.8 , Issue.11 , pp. 318-327
    • Nordström, N.1
  • 55
    • 0032309406 scopus 로고    scopus 로고
    • A PDE-based level set approach for detection and tracking of moving objects
    • Bombay, India, Jan. IEEE Computer Society Press
    • N. Paragios and R. Deriche, "A PDE-based level set approach for detection and tracking of moving objects," in Proceedings of the 6th International Conference on Computer Vision, Bombay, India, Jan. 1998. IEEE Computer Society Press.
    • (1998) Proceedings of the 6th International Conference on Computer Vision
    • Paragios, N.1    Deriche, R.2
  • 56
    • 0344770241 scopus 로고    scopus 로고
    • Detection and localization of moving objects in image sequences
    • Accepted for publication in Signal Processing: Image Communication, Oct.
    • N. Paragios and G. Tziritas, "Detection and localization of moving objects in image sequences," FORT-Hellas Technical Report, Accepted for publication in Signal Processing: Image Communication, Oct. 1996.
    • (1996) FORT-Hellas Technical Report
    • Paragios, N.1    Tziritas, G.2
  • 57
    • 0031340320 scopus 로고    scopus 로고
    • Detecting multiple moving targets using deformable contours
    • Santa-Barbara, California, Oct.
    • N. Paragios and R. Deriche, "Detecting multiple moving targets using deformable contours," in International Conference on Image Processing, Vol. II of III, Santa-Barbara, California, Oct. 1997, pp. 183-186.
    • (1997) International Conference on Image Processing , vol.2-3 , pp. 183-186
    • Paragios, N.1    Deriche, R.2
  • 59
    • 0002411602 scopus 로고
    • Coupled geometry-driven diffusion equations for low-level vision
    • Kluwer Academic Publishers
    • M. Proesmans, E. Pauwels, and L. Van Gool, "Coupled geometry-driven diffusion equations for low-level vision," Computational Imaging and Vision, Kluwer Academic Publishers, 1994, pp. 191-228.
    • (1994) Computational Imaging and Vision , pp. 191-228
    • Proesmans, M.1    Pauwels, E.2    Van Gool, L.3
  • 60
    • 84996774871 scopus 로고
    • Total variation based image restoration with free local constraints
    • Nov.
    • L. Rudin and S. Osher, "Total variation based image restoration with free local constraints," in International Conference on Image Processing, Nov. 1994, Vol. 1, pp. 31-35.
    • (1994) International Conference on Image Processing , vol.1 , pp. 31-35
    • Rudin, L.1    Osher, S.2
  • 61
    • 0031273299 scopus 로고    scopus 로고
    • Contrast enhancement via image evolution flows
    • G. Sapiro and V. Caselles, "Contrast enhancement via image evolution flows," Graphical Models and Image Processing, Vol. 59, No. 6, pp. 407-416, 1997.
    • (1997) Graphical Models and Image Processing , vol.59 , Issue.6 , pp. 407-416
    • Sapiro, G.1    Caselles, V.2
  • 62
    • 0030286977 scopus 로고    scopus 로고
    • Anisotropic diffusion of multi-valued images with applications to color filtering
    • G. Sapiro and D.L. Ringach, "Anisotropic diffusion of multi-valued images with applications to color filtering," IEEE Transactions on Image Processing, Vol. 5, No. 11, pp. 1582-1585, 1996.
    • (1996) IEEE Transactions on Image Processing , vol.5 , Issue.11 , pp. 1582-1585
    • Sapiro, G.1    Ringach, D.L.2
  • 64
    • 0028423131 scopus 로고
    • Unique reconstruction of piecewise-smooth images by minimizing strictly convex nonquadratic functionals
    • C. Schnörr, "Unique reconstruction of piecewise-smooth images by minimizing strictly convex nonquadratic functionals," Journal of Mathematical Imaging and Vision, Vol. 4, pp. 189-198, 1994.
    • (1994) Journal of Mathematical Imaging and Vision , vol.4 , pp. 189-198
    • Schnörr, C.1
  • 65
    • 0029711076 scopus 로고    scopus 로고
    • A common framework for curve evolution, segmentation and anisotropic diffusion
    • J. Shah, "A common framework for curve evolution, segmentation and anisotropic diffusion," IEEE, 1996.
    • (1996) IEEE
    • Shah, J.1
  • 67
    • 0004800286 scopus 로고    scopus 로고
    • Spatially and scale adaptive total variation based regularization and anisotropic diffusion in image processing
    • UCLA, Nov.
    • D.M. Strong and T.F. Chan, "Spatially and scale adaptive total variation based regularization and anisotropic diffusion in image processing," Technical Report 46, UCLA, Nov. 1996.
    • (1996) Technical Report 46
    • Strong, D.M.1    Chan, T.F.2
  • 70
    • 0001168879 scopus 로고
    • The spaces BV and quasilinear equations
    • A.I. Vol'pert, "The spaces BV and quasilinear equations," Math. USSR-Sbornik, Vol. 2, No. 2, pp. 225-267, 1967.
    • (1967) Math. USSR-Sbornik , vol.2 , Issue.2 , pp. 225-267
    • Vol'pert, A.I.1
  • 71
    • 0004168411 scopus 로고    scopus 로고
    • Ph.D. thesis, University of Kaiserslautern, Germany, Laboratory of Technomathematics, Jan.
    • J. Weickert, "Anisotropic diffusion in image processing," Ph.D. thesis, University of Kaiserslautern, Germany, Laboratory of Technomathematics, Jan. 1996.
    • (1996) Anisotropic Diffusion in Image Processing
    • Weickert, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.