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Volumn 76, Issue 8, 1988, Pages 869-889

Ill-Posed Problems in Early Vision

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE PROCESSING; MATHEMATICAL TECHNIQUES -- LEAST SQUARES APPROXIMATIONS; SIGNAL FILTERING AND PREDICTION;

EID: 0024057651     PISSN: 00189219     EISSN: 15582256     Source Type: Journal    
DOI: 10.1109/5.5962     Document Type: Article
Times cited : (523)

References (89)
  • 1
    • 0022417790 scopus 로고
    • Computational vision and regularization theory”
    • Sept.
    • T. Poggio, V. Torre, and C. Koch, “Computational vision and regularization theory”, Nature, vol. 317, pp. 314–319, Sept. 1985.
    • (1985) Nature , vol.317 , pp. 314-319
    • Poggio, T.1    Torre, V.2    Koch, C.3
  • 2
    • 0022756380 scopus 로고
    • Regularization of inverse visual problems involving discontinuities”
    • July
    • D. Terzopoulos, “Regularization of inverse visual problems involving discontinuities”, IEEE Trans. Pattern Anal. Machine Intell., vol. 4, pp. 413–424, July 1986.
    • (1986) IEEE Trans. Pattern Anal. Machine Intell. , vol.4 , pp. 413-424
    • Terzopoulos, D.1
  • 3
    • 0002500486 scopus 로고
    • Sur les problèmes aux dérivées partielles et leur signification physique”
    • J. Hadamard, “Sur les problèmes aux dérivées partielles et leur signification physique”, Princeton University Bulletin, vol. 13, 1902.
    • (1902) Princeton University Bulletin , vol.13
    • Hadamard, J.1
  • 6
    • 0003368014 scopus 로고
    • The theory of Tikhonov regularization for Fredholm equations of the first kind”
    • Boston, MA: Pitman
    • C. W. Groetsch, “The theory of Tikhonov regularization for Fredholm equations of the first kind”, Research Notes in Mathematics, vol. 105. Boston, MA: Pitman, 1984.
    • (1984) Research Notes in Mathematics , vol.105
    • Groetsch, C.W.1
  • 8
    • 84910319909 scopus 로고
    • Weak continuity constraints generate uniform scale-space descriptions of plane curves”
    • A. Blake, A. Zisserman, and A. V. Papoulias, “Weak continuity constraints generate uniform scale-space descriptions of plane curves”, in Proc. ECAI, 1986.
    • (1986) Proc. ECAI
    • Blake, A.1    Zisserman, A.2    Papoulias, A.V.3
  • 9
    • 0022562897 scopus 로고
    • Some properties of weak continuity constraints and the GNC algorithm”
    • A. Blake and A. Zisserman, “Some properties of weak continuity constraints and the GNC algorithm”, in Proc. CVPR, pp. 656-661, 1986.
    • (1986) Proc. CVPR , pp. 656-661
    • Blake, A.1    Zisserman, A.2
  • 10
    • 0022566421 scopus 로고
    • Invariant surface reconstruction using weak continuity constraints
    • “ in
    • A. Blake and A. Zisserman “Invariant surface reconstruction using weak continuity constraints”, in Proc. CVPR, pp. 62-67, 1986.
    • (1986) Proc. CVPR , pp. 62-67
    • Blake, A.1    Zisserman, A.2
  • 12
    • 84939387211 scopus 로고
    • A unified perspective on computational techniques for the measurement of visual motion”
    • P. Amandan, “A unified perspective on computational techniques for the measurement of visual motion”, in Proc. Intl. Conf. on Computer Vision, pp. 719-732, 1987.
    • (1987) Proc. Intl. Conf. on Computer Vision , pp. 719-732
    • Amandan, P.1
  • 13
    • 2342648365 scopus 로고
    • Introducing a smoothness constraint in a matching approach for the computation of displacement fields”
    • P. Amandan and R. Weiss, “Introducing a smoothness constraint in a matching approach for the computation of displacement fields”, in DARPA IV Workshop Proc, pp. 186-195, 1985.
    • (1985) DARPA IV Workshop Proc , pp. 186-195
    • Amandan, P.1    Weiss, R.2
  • 14
    • 0022584081 scopus 로고
    • Visual surface reconstruction using sparse depth data”
    • T. E. Boult and J. R. Kender, “Visual surface reconstruction using sparse depth data”, in Proc. CVPR, pp. 68-76, 1986.
    • (1986) Proc. CVPR , pp. 68-76
    • Boult, T.E.1    Kender, J.R.2
  • 15
    • 84939396219 scopus 로고
    • Using optimal algorithms to test model assumptions in computer vision”
    • T. E. Boult, “Using optimal algorithms to test model assumptions in computer vision”, in Proc. Intl. Conf. on Computer Vision, pp. 921-929, 1987.
    • (1987) Proc. Intl. Conf. on Computer Vision , pp. 921-929
    • Boult, T.E.1
  • 16
    • 84939361600 scopus 로고    scopus 로고
    • Some computational aspects of lowlevel computer vision”
    • this issue.
    • D. Lee, “Some computational aspects of lowlevel computer vision”, this issue.
    • Lee, D.1
  • 17
    • 0023170032 scopus 로고
    • What is regular in regularization”
    • T. Boult, “What is regular in regularization”, in Proc. Intl. Conf. Computer Vision, pp. 457-462, 1987.
    • (1987) Proc. Intl. Conf. Computer Vision , pp. 457-462
    • Boult, T.1
  • 19
    • 0004011174 scopus 로고
    • Improperly posed problems in partial differential equations”
    • presented at SIAM Regional Conf. Series in Applied Math
    • L. E. Payne, “Improperly posed problems in partial differential equations”, presented at SIAM Regional Conf. Series in Applied Math, 1975.
    • (1975)
    • Payne, L.E.1
  • 21
    • 0042439585 scopus 로고
    • Regularization methods for linear inverse problems”
    • C. G. Talenti, Ed. Berlin, West Germany: Springer-Verlag
    • M. Bertero, “Regularization methods for linear inverse problems”, in Inverse Problems, C. G. Talenti, Ed. Berlin, West Germany: Springer-Verlag, 1986.
    • (1986) Inverse Problems
    • Bertero, M.1
  • 22
    • 84926920769 scopus 로고
    • The use of mathematical-statistics methods in the solution of incorrectly posed problems”
    • V. F. Turchin, V. P. Kozlov, and M. S. Malkevich, “The use of mathematical-statistics methods in the solution of incorrectly posed problems”, Sov. Phys. Usp., vol. 13, pp. 681–840, 1971.
    • (1971) Sov. Phys. Usp. , vol.13 , pp. 681-840
    • Turchin, V.F.1    Kozlov, V.P.2    Malkevich, M.S.3
  • 23
    • 0009071441 scopus 로고
    • The stability of inverse problems”
    • H. P. Baltes, Ed. Berlin, West Germany: Springer-Verlag
    • M. Bertero, C. DeMol, and G. A. Viano, “The stability of inverse problems”, in Inverse Scattering Problems in Optics, H. P. Baltes, Ed. Berlin, West Germany: Springer-Verlag, 1980.
    • (1980) Inverse Scattering Problems in Optics
    • Bertero, M.1    DeMol, C.2    Viano, G.A.3
  • 24
    • 84980073634 scopus 로고
    • Continuous dependence on data for solutions of partial differential equations with a prescribed bound”
    • F. John, “Continuous dependence on data for solutions of partial differential equations with a prescribed bound”, Commun. Pure Appl. Math., vol. 13, pp. 551–585, 1960.
    • (1960) Commun. Pure Appl. Math. , vol.13 , pp. 551-585
    • John, F.1
  • 28
    • 0001176372 scopus 로고
    • Linear inverse problems with discrete data: I-general formulations and singular system analysis”
    • M. Bertero, C. DeMol, and E. R. Pike, “Linear inverse problems with discrete data: I-general formulations and singular system analysis”, in Inverse Problems, vol. 1, pp. 301–330, 1985.
    • (1985) Inverse Problems , vol.1 , pp. 301-330
    • Bertero, M.1    DeMol, C.2    Pike, E.R.3
  • 30
    • 0001300994 scopus 로고
    • Solution of incorrectly formulated problems and the regularization method”
    • A. N. Tikhonov, “Solution of incorrectly formulated problems and the regularization method”, Soviet Math. Dokl., vol. 4, pp. 1035–1038, 1963.
    • (1963) Soviet Math. Dokl. , vol.4 , pp. 1035-1038
    • Tikhonov, A.N.1
  • 31
    • 3342949698 scopus 로고
    • On linear problems which are not well-posed”
    • V. K. Ivanov, “On linear problems which are not well-posed”, Soviet Math. Dokl., vol. 3, pp. 981–983, 1962.
    • (1962) Soviet Math. Dokl. , vol.3 , pp. 981-983
    • Ivanov, V.K.1
  • 32
    • 0043210993 scopus 로고
    • The approximate solution of operator equations of the first kind”
    • V. K. Ivanov, “The approximate solution of operator equations of the first kind”, USSR Comp. Math. Math. Phys., vol. 6, pp. 197–205, 1966.
    • (1966) USSR Comp. Math. Math. Phys. , vol.6 , pp. 197-205
    • Ivanov, V.K.1
  • 33
    • 0000739264 scopus 로고
    • On the solution of functional equations by the method of regularization”
    • V. A. Morozov, “On the solution of functional equations by the method of regularization”, Sower Math. Dokl., vol. 7, pp. 414–417, 1966.
    • (1966) Sower Math. Dokl. , vol.7 , pp. 414-417
    • Morozov, V.A.1
  • 34
    • 0002902522 scopus 로고
    • Least squares methods for ill-posed problems with a prescribed bound”
    • K. Miller, “Least squares methods for ill-posed problems with a prescribed bound”, SIAM J. Math. Anal., vol. 1, pp. 52–74, 1970.
    • (1970) SIAM J. Math. Anal. , vol.1 , pp. 52-74
    • Miller, K.1
  • 35
    • 84966234075 scopus 로고
    • On Tikhonov's method for ill-posed problems”
    • J. N. Franklin, “On Tikhonov's method for ill-posed problems”, Math. Comp., vol. 28, pp. 889–907, 1974.
    • (1974) Math. Comp. , vol.28 , pp. 889-907
    • Franklin, J.N.1
  • 36
    • 34250516079 scopus 로고
    • Smoothing by spline functions”
    • C. H. Reinsch, “Smoothing by spline functions”, Numer. Math., vol. 10, pp. 177–183, 1967.
    • (1967) Numer. Math. , vol.10 , pp. 177-183
    • Reinsch, C.H.1
  • 37
    • 0000544453 scopus 로고
    • Practical approximate solutions to linear operator equations when the data are noisy”
    • G. Wahba, “Practical approximate solutions to linear operator equations when the data are noisy”, SIAM J. Numer. Anal., vol. 14, 1977.
    • (1977) SIAM J. Numer. Anal. , vol.14
    • Wahba, G.1
  • 38
    • 0039648522 scopus 로고
    • Ill-posed problems: Numerical and statistical methods for mildly, moderately and severely ill-posed problems with noisy data”
    • Tech. Rep. 595, Univ. of Wisconsin, Madison, Wl
    • G. Wahba, “Ill-posed problems: Numerical and statistical methods for mildly, moderately and severely ill-posed problems with noisy data”, Tech. Rep. 595, Univ. of Wisconsin, Madison, Wl, 1980.
    • (1980)
    • Wahba, G.1
  • 39
    • 34250263445 scopus 로고
    • Smoothing noisy data with spline functions: estimating the correct degree of smoothing by the method of generalized cross-validation”
    • P. Craven and G. Wahba, “Smoothing noisy data with spline functions: estimating the correct degree of smoothing by the method of generalized cross-validation”, Numer. Math., vol. 31, pp. 377–403, 1979.
    • (1979) Numer. Math. , vol.31 , pp. 377-403
    • Craven, P.1    Wahba, G.2
  • 41
    • 0019539685 scopus 로고
    • Newton-Kantorovich algorithm applied to an electromagnetic inverse problem”
    • A. Roger, “Newton-Kantorovich algorithm applied to an electromagnetic inverse problem”, IEEE Trans. Antennas Propagat., vol. AP-20, pp. 232–238, 1981.
    • (1981) IEEE Trans. Antennas Propagat. , vol.AP-20 , pp. 232-238
    • Roger, A.1
  • 42
    • 84911743648 scopus 로고
    • Solution of nonlinear integral equations of the first kind”
    • A. N. Tikhonov, “Solution of nonlinear integral equations of the first kind”, Soviet Math. Dokl., vol. 5, pp. 835–838, 1964.
    • (1964) Soviet Math. Dokl. , vol.5 , pp. 835-838
    • Tikhonov, A.N.1
  • 43
    • 0001816340 scopus 로고
    • Generalized inverses, normal solvability, and iteration for singular operator equations”
    • L. B. Rall, Ed. New York, NY: Academic Press
    • M. Z. Nashed, “Generalized inverses, normal solvability, and iteration for singular operator equations”, in Nonlinear Functional Analysis and Applications, L. B. Rall, Ed. New York, NY: Academic Press, 1971.
    • (1971) Nonlinear Functional Analysis and Applications
    • Nashed, M.Z.1
  • 45
    • 0021239124 scopus 로고
    • Computation of the velocity field”
    • E. C. Hildreth, “Computation of the velocity field”, Proc. R. Soc. Lond. B., vol. 221, pp. 189–220, 1984.
    • (1984) Proc. R. Soc. Lond. B. , vol.221 , pp. 189-220
    • Hildreth, E.C.1
  • 47
    • 0006276814 scopus 로고
    • On boundary detection”
    • Artificial Intelligence Laboratory Memo 183, Massachusetts Institute of Technology, Cambridge, MA
    • A. Herskovitz and T. O. Binford, “On boundary detection”, Artificial Intelligence Laboratory Memo 183, Massachusetts Institute of Technology, Cambridge, MA, 1980.
    • (1980)
    • Herskovitz, A.1    Binford, T.O.2
  • 48
    • 0018828706 scopus 로고
    • Theory of edge detection”
    • D. Marr and E. C. Hildreth, “Theory of edge detection”, Proc. R. Soc. Lond. B, vol. 207, pp. 187–217, 1980.
    • (1980) Proc. R. Soc. Lond. B , vol.207 , pp. 187-217
    • Marr, D.1    Hildreth, E.C.2
  • 49
    • 0003464123 scopus 로고
    • Finding edges and lines in images”
    • Artificial Intelligence Laboratory Tech. Rep. 720, Massachusetts Institute of Technology, Cambridge, MA
    • J. F. Canny, “Finding edges and lines in images”, Artificial Intelligence Laboratory Tech. Rep. 720, Massachusetts Institute of Technology, Cambridge, MA, 1983.
    • (1983)
    • Canny, J.F.1
  • 50
    • 84939369941 scopus 로고
    • An optimal frequency domain filter for edge detection in digital pictures”
    • K. F. Shanmugan, F. M. Dickey, and J. A. Green, “An optimal frequency domain filter for edge detection in digital pictures”, IEEE Trans. Pattern Anal. Machine Intell., vol. 44, pp. 99–149, 1965.
    • (1965) IEEE Trans. Pattern Anal. Machine Intell. , vol.44 , pp. 99-149
    • Shanmugan, K.F.1    Dickey, F.M.2    Green, J.A.3
  • 51
    • 0022690031 scopus 로고
    • On edge detection”
    • Artificial Intelligence Laboratory Memo 768, Cambridge, MA, Massachusetts Institute of Technology, Also printed in IEEE Trans. Pattern Anal. Machine Intell., pp. 147–163
    • V. Torre and T. Poggio, “On edge detection”, Artificial Intelligence Laboratory Memo 768, Cambridge, MA, Massachusetts Institute of Technology, 1984. Also printed in IEEE Trans. Pattern Anal. Machine Intell., vol. 8, pp. 147–163, 1986.
    • (1986) , vol.8 , pp. 1984
    • Torre, V.1    Poggio, T.2
  • 52
    • 0003604316 scopus 로고
    • Regularizing edge detection”
    • Artificial Intelligence Laboratory Memo 776, Massachusetts Institute of Technology, Cambridge, MA
    • T. Poggio, H. Voorhees, and A. Yuille, “Regularizing edge detection”, Artificial Intelligence Laboratory Memo 776, Massachusetts Institute of Technology, Cambridge, MA, 1984.
    • (1984)
    • Poggio, T.1    Voorhees, H.2    Yuille, A.3
  • 53
    • 0000915722 scopus 로고
    • Linear and circular prolate functions”
    • E. Wolf, Ed. Amsterdam, The Netherlands: Elsevier North Holland
    • B. R. Frieden, “Linear and circular prolate functions”, in Progress in Optics IX, E. Wolf, Ed. Amsterdam, The Netherlands: Elsevier North Holland, 1971, pp. 312-408.
    • (1971) Progress in Optics IX , pp. 312-408
    • Frieden, B.R.1
  • 54
    • 84857887285 scopus 로고
    • Prolate spherical wave functions, Fourier analysis and uncertainty-ll”
    • H. J. Landau and H. O. Pollack, “Prolate spherical wave functions, Fourier analysis and uncertainty-ll”, BellSyst. Tech. J., vol. 40, pp. 65–84, 1961.
    • (1961) BellSyst. Tech. J. , vol.40 , pp. 65-84
    • Landau, H.J.1    Pollack, H.O.2
  • 56
    • 33747340673 scopus 로고
    • Random Variables and Stochastic Processes. New York, NY: McGraw-Hill
    • A. Papoulis, Probability, Random Variables and Stochastic Processes. New York, NY: McGraw-Hill, 1965.
    • (1965) Probability
    • Papoulis, A.1
  • 57
    • 51249193717 scopus 로고
    • Quelques proprietes globales des varietes differentiates”
    • R. Thorn, “Quelques proprietes globales des varietes differentiates”, Comm. Math. Helv., vol. 28, pp. 17–86, 1954.
    • (1954) Comm. Math. Helv. , vol.28 , pp. 17-86
    • Thorn, R.1
  • 59
    • 84931197043 scopus 로고
    • Motion field and optical flow: Qualitative properties”
    • AlL Memo 917, Massachusetts Institute of Technology, Cambridge, MA
    • A. Verri and T. Poggio, “Motion field and optical flow: Qualitative properties”, AlL Memo 917, Massachusetts Institute of Technology, Cambridge, MA, 1986.
    • (1986)
    • Verri, A.1    Poggio, T.2
  • 60
    • 0003834557 scopus 로고
    • Boston, MA: Freeman
    • D. Marr, Vision. Boston, MA: Freeman, 1982.
    • (1982) Vision
    • Marr, D.1
  • 61
    • 0008572066 scopus 로고
    • The smoothest velocity field and token matching schemes”
    • Artificial Intelligence Laboratory Memo 724, Massachusetts Institute of Technology, Cambridge, MA
    • A. Yuille, “The smoothest velocity field and token matching schemes”, Artificial Intelligence Laboratory Memo 724, Massachusetts Institute of Technology, Cambridge, MA, 1983.
    • (1983)
    • Yuille, A.1
  • 62
    • 0015316383 scopus 로고
    • On the convergence of the conjugate gradient method for singular linear operator equations”
    • W. J. Kammerer and M. Z. Nashed, “On the convergence of the conjugate gradient method for singular linear operator equations”, SIAM]. Numer. Anal., vol. 9, pp. 165–181, 1972.
    • (1972) SIAM]. Numer. Anal. , vol.9 , pp. 165-181
    • Kammerer, W.J.1    Nashed, M.Z.2
  • 65
    • 0018367382 scopus 로고
    • A theory of human stereo vision”
    • Also published as Artificial Intelligence Laboratory Memo 451, Massachusetts Institute of Technology, Cambridge, MA, 1977.
    • D. Marr and T. Poggio, “A theory of human stereo vision”, Proc. Roy. Soc. Lond. B, vol. 204, pp. 301–328, 1979. Also published as Artificial Intelligence Laboratory Memo 451, Massachusetts Institute of Technology, Cambridge, MA, 1977.
    • (1979) Proc. Roy. Soc. Lond. B , vol.204 , pp. 301-328
    • Marr, D.1    Poggio, T.2
  • 67
    • 0020481758 scopus 로고
    • A visual theory of visual surface interpolation”
    • W. E. L. Grimson, “A visual theory of visual surface interpolation”, Phil. Trans. R. Soc. Lond. B, vol. 298, pp. 395–427, 1982.
    • (1982) Phil. Trans. R. Soc. Lond. B , vol.298 , pp. 395-427
    • Grimson, W.E.L.1
  • 68
    • 0020970241 scopus 로고
    • Multilevel visual processes for visual surface reconstruction”
    • D. Terzopoulos, “Multilevel visual processes for visual surface reconstruction”, Computer Vision, Graphics, and Image Processing, vol. 24, pp. 52–96, 1983.
    • (1983) Computer Vision, Graphics, and Image Processing , vol.24 , pp. 52-96
    • Terzopoulos, D.1
  • 69
    • 0011067081 scopus 로고
    • Multiresolution computation of visible-surface representations”
    • Ph.D. Thesis, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA
    • D. Terzopoulos, “Multiresolution computation of visible-surface representations”, Ph.D. Thesis, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA, 1984.
    • (1984)
    • Terzopoulos, D.1
  • 70
    • 12844256266 scopus 로고
    • Multilevel reconstruction of visual surfaces: Variational principles and finite element representations”
    • Artificial Intelligence Laboratory Memo 671, Massachusetts Institute of Technology, Cambridge, MA, 1984. Also in Multiresolution Image Processing and Analysis, A. Rosenfeld, Ed. Berlin, West Germany: Springer-Verlag
    • D. Terzopoulos, “Multilevel reconstruction of visual surfaces: Variational principles and finite element representations”, Artificial Intelligence Laboratory Memo 671, Massachusetts Institute of Technology, Cambridge, MA, 1984. Also in Multiresolution Image Processing and Analysis, A. Rosenfeld, Ed. Berlin, West Germany: Springer-Verlag, 1984, pp. 237-310.
    • (1984) , pp. 237-310
    • Terzopoulos, D.1
  • 71
    • 0017216638 scopus 로고
    • Interpolation des functions de deux variables suivant le principe de la flexion des plaques minces”
    • J. Duchon, “Interpolation des functions de deux variables suivant le principe de la flexion des plaques minces”, R.A.I.R.O. Analyse Numerique, vol. 10, pp. 5–12, 1976.
    • (1976) R.A.I.R.O. Analyse Numerique , vol.10 , pp. 5-12
    • Duchon, J.1
  • 72
    • 0000681041 scopus 로고
    • Some new mathematical methods for variational objective analysis using splines and cross validation”
    • G. Wahba and J. Wendelberger, “Some new mathematical methods for variational objective analysis using splines and cross validation”, Monthly Weather Review, vol. 108, pp. 1122–1143, 1980.
    • (1980) Monthly Weather Review , vol.108 , pp. 1122-1143
    • Wahba, G.1    Wendelberger, J.2
  • 74
    • 0003846388 scopus 로고
    • Shape from shading: A method for obtaining the shape of a smooth opaque object from one view”
    • Project MAC Internal Rep. TR-79 and Artificial Intelligence Laboratory Tech. Rep. 232, Massachusetts Institute of Technology, Cambridge, MA
    • B. K. P. Horn, “Shape from shading: A method for obtaining the shape of a smooth opaque object from one view”, Project MAC Internal Rep. TR-79 and Artificial Intelligence Laboratory Tech. Rep. 232, Massachusetts Institute of Technology, Cambridge, MA, 1970.
    • (1970)
    • Horn, B.K.P.1
  • 75
    • 0003097265 scopus 로고
    • Obtaining shape from shading information”
    • P. H. Winston, Ed. New York, NY: McGraw-Hill
    • B. K. P. Horn, “Obtaining shape from shading information”, in The Psychology of Computer Vision, P. H. Winston, Ed. New York, NY: McGraw-Hill, 1975.
    • (1975) The Psychology of Computer Vision
    • Horn, B.K.P.1
  • 76
    • 0018483242 scopus 로고
    • Calculating the reflectance map”
    • B. K. P. Horn and R. W. Sjoberg, “Calculating the reflectance map”, Appl. Opt., vol. 18, pp. 1770–1779, 1979.
    • (1979) Appl. Opt. , vol.18 , pp. 1770-1779
    • Horn, B.K.P.1    Sjoberg, R.W.2
  • 77
    • 0019436592 scopus 로고
    • Hill-shading and the reflectance map”
    • B. K. P. Horn, “Hill-shading and the reflectance map”, Proc. IEEE, vol. 69, pp. 14–47, 1981.
    • (1981) Proc. IEEE , vol.69 , pp. 14-47
    • Horn, B.K.P.1
  • 78
    • 0019679452 scopus 로고
    • Determining surface orientations of specular surfaces by using the photometric stereo method”
    • K. Ikeuchi, “Determining surface orientations of specular surfaces by using the photometric stereo method”, IEEE Trans. Pattern Anal. Machine Intell., vol. 3, pp. 661–669, 1981.
    • (1981) IEEE Trans. Pattern Anal. Machine Intell. , vol.3 , pp. 661-669
    • Ikeuchi, K.1
  • 79
    • 84939354003 scopus 로고    scopus 로고
    • The mathematical properties of the 2-D motion field: from singular points to motion parameters”
    • submitted.
    • A. Verri, F. Girosi, and V. Torre, “The mathematical properties of the 2-D motion field: from singular points to motion parameters”, J. Opt. Soc. Amer. A, submitted.
    • J. Opt. Soc. Amer. A
    • Verri, A.1    Girosi, F.2    Torre, V.3
  • 81
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images”
    • S. Geman and D. Geman, “Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images”, IEEE Trans. Pattern Anal. Machine Intell., vol. 6, pp. 721–741, 1984.
    • (1984) IEEE Trans. Pattern Anal. Machine Intell. , vol.6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 82
    • 0011937444 scopus 로고
    • Surface reconstruction preserving discontinuities”
    • Artificial Intelligence Laboratory Memo 792, Massachusetts Institute of Technology, Cambridge, MA
    • J. Marroquin, “Surface reconstruction preserving discontinuities”, Artificial Intelligence Laboratory Memo 792, Massachusetts Institute of Technology, Cambridge, MA, 1984.
    • (1984)
    • Marroquin, J.1
  • 83
    • 84950881632 scopus 로고
    • Probabilistic solution of ill-posed problems in computational vision
    • “J. Amer. Stat. Assoc, 1987. Also in Proc. Image Understanding Workshop, L. Baumann, Ed. McLean, VA: SAI Corp.
    • J. Marroquin, S. Mitter, and T. Poggio, “Probabilistic solution of ill-posed problems in computational vision, “J. Amer. Stat. Assoc, vol. 82, pp. 76–89, 1987. Also in Proc. Image Understanding Workshop, L. Baumann, Ed. McLean, VA: SAI Corp., 1985.
    • (1985) , vol.82 , pp. 76-89
    • Marroquin, J.1    Mitter, S.2    Poggio, T.3
  • 84
    • 0004021374 scopus 로고
    • Ill-posed problems in early vision”
    • Artificial Intelligence Laboratory Memo 924, Massachusetts Institute of Technology, Cambridge, MA
    • M. Bertero, T. Poggio, and V. Torre, “Ill-posed problems in early vision”, Artificial Intelligence Laboratory Memo 924, Massachusetts Institute of Technology, Cambridge, MA, 1987.
    • (1987)
    • Bertero, M.1    Poggio, T.2    Torre, V.3
  • 85
    • 84939324989 scopus 로고
    • Integrating vision modules with coupled MRFs”
    • Artificial Intelligence Laboratory Memo 285, Massachusetts Institute of Technology, Cambridge, MA, 1985. See also T. Poggio and staff, “MIT progress in understanding images”, in, L. Bauman, Ed. San Mateo, CA: Morgan Kaufmann Publishers
    • T. Poggio, “Integrating vision modules with coupled MRFs”, Artificial Intelligence Laboratory Memo 285, Massachusetts Institute of Technology, Cambridge, MA, 1985. See also T. Poggio and staff, “MIT progress in understanding images”, in Proc. Image Understanding Workshop, L. Bauman, Ed. San Mateo, CA: Morgan Kaufmann Publishers, 1987.
    • (1987) Proc. Image Understanding Workshop
    • Poggio, T.1
  • 86
    • 84910806777 scopus 로고
    • MIT progress in understanding images”
    • staff, in, L. Bauman, Ed. San Mateo, CA'. Morgan Kaufmann Publishers
    • T. Poggio and staff, “MIT progress in understanding images”, in Proc. Image Understanding Workshop, L. Bauman, Ed. San Mateo, CA'. Morgan Kaufmann Publishers, 1988.
    • (1988) Proc. Image Understanding Workshop
    • Poggio, T.1
  • 87
    • 0003492337 scopus 로고
    • Visual integration and detection of discontinuities: The key role of intensity edges”
    • Artificial Intelligence Laboratory Memo 970 and Center for Biological Information Processing Paper 027, Massachusetts Institute of Technology, Cambridge, MA
    • E. B. Gamble and T. Poggio, “Visual integration and detection of discontinuities: The key role of intensity edges”, Artificial Intelligence Laboratory Memo 970 and Center for Biological Information Processing Paper 027, Massachusetts Institute of Technology, Cambridge, MA, 1987.
    • (1987)
    • Gamble, E.B.1    Poggio, T.2
  • 88
    • 84939391064 scopus 로고
    • The vision machine”
    • L. Bauman, Ed. San Mateo, CA: Morgan Kaufmann Publishers
    • T. Poggio et al., “The vision machine”, in Proc. Image Understanding Workshop, L. Bauman, Ed. San Mateo, CA: Morgan Kaufmann Publishers, 1988.
    • (1988) Proc. Image Understanding Workshop
    • Poggio, T.1
  • 89
    • 2342650352 scopus 로고
    • An optimal scale for edge detection”
    • D. Geiger and T. Poggio, “An optimal scale for edge detection”, in Proc. IJCAI, vol. 2, pp. 745–748, 1987.
    • (1987) Proc. IJCAI , vol.2 , pp. 745-748
    • Geiger, D.1    Poggio, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.