메뉴 건너뛰기




Volumn 71, Issue 3, 1998, Pages 312-333

Robust Detection of Degenerate Configurations while Estimating the Fundamental Matrix

Author keywords

Degeneracy; Epipolar geometry; Fundamental matrix; MDL; Model selection; Motion analysis; Robust methods

Indexed keywords

FUNCTIONS; IMAGE ANALYSIS; MATRIX ALGEBRA;

EID: 0032166743     PISSN: 10773142     EISSN: None     Source Type: Journal    
DOI: 10.1006/cviu.1997.0559     Document Type: Article
Times cited : (111)

References (54)
  • 1
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • H. Akaike, A new look at the statistical model identification, IEEE Trans. Automatic Control 19(6), 1974, 716-723.
    • (1974) IEEE Trans. Automatic Control , vol.19 , Issue.6 , pp. 716-723
    • Akaike, H.1
  • 2
    • 33845722419 scopus 로고
    • Factor analysis and AIC
    • H. Akaike, Factor analysis and AIC, Psychometrika 52(3), 1987, 317-332.
    • (1987) Psychometrika , vol.52 , Issue.3 , pp. 317-332
    • Akaike, H.1
  • 3
    • 84957562104 scopus 로고    scopus 로고
    • Self-calibration from image triplets
    • Proc. 4th European Conference on Computer Vision, Cambridge (B. Buxton and R. Cipolla, Eds.), Springer-Verlag, Berlin
    • M. Armstrong, A. Zisserman, and R. Hartley, Self-calibration from image triplets, in Proc. 4th European Conference on Computer Vision, Cambridge (B. Buxton and R. Cipolla, Eds.), Lecture Notes in Computer Science, Vol. 1064, pp. 3-16, Springer-Verlag, Berlin, 1996.
    • (1996) Lecture Notes in Computer Science , vol.1064 , pp. 3-16
    • Armstrong, M.1    Zisserman, A.2    Hartley, R.3
  • 4
    • 84957879151 scopus 로고    scopus 로고
    • 3D model aquisition from extended image sequences
    • Proc. 4th European Conference on Computer Vision, Cambridge (B. Buxton and R. Cipolla, Eds.), Springer-Verlag, Berlin
    • P. Beardsley, P. H. S. Torr, and A. Zisserman, 3D model aquisition from extended image sequences, in Proc. 4th European Conference on Computer Vision, Cambridge (B. Buxton and R. Cipolla, Eds.), Lecture Notes in Computer Science, Vol. 1065, pp. 683-695, Springer-Verlag, Berlin, 1996.
    • (1996) Lecture Notes in Computer Science , vol.1065 , pp. 683-695
    • Beardsley, P.1    Torr, P.H.S.2    Zisserman, A.3
  • 5
    • 30244434868 scopus 로고
    • Navigation using affine structure and motion
    • Proc. 3rd European Conference on Computer Vision, Stockholm (J. O. Eklundh, Ed.), Springer-Verlag, Berlin
    • P. A. Beardsley, A. Zisserman, and D. W. Murray, Navigation using affine structure and motion, in Proc. 3rd European Conference on Computer Vision, Stockholm (J. O. Eklundh, Ed.), Lecture Notes in Computer Science, Vol. 800/801, pp. 85-96, Springer-Verlag, Berlin, 1994.
    • (1994) Lecture Notes in Computer Science , vol.800-801 , pp. 85-96
    • Beardsley, P.A.1    Zisserman, A.2    Murray, D.W.3
  • 8
    • 34250108028 scopus 로고
    • Model selection and Akaike's information criterion (aie): The general theory and its analytical extensions
    • H. Bozdogan, Model selection and Akaike's information criterion (aie): The general theory and its analytical extensions, Psychometrika 52(3), 1987, 345-370.
    • (1987) Psychometrika , vol.52 , Issue.3 , pp. 345-370
    • Bozdogan, H.1
  • 10
    • 33749887380 scopus 로고
    • Robust recovery of the epipolar geometry for an uncalibrated stereo rig
    • Proc. 3rd European Conference on Computer Vision, Stockholm (J. O. Ecklundh, Ed.), Springer-Verlag, Berlin
    • R. Deriche, Z. Zhang, Q. T. Luong, and O. Faugeras, Robust recovery of the epipolar geometry for an uncalibrated stereo rig, in Proc. 3rd European Conference on Computer Vision, Stockholm (J. O. Ecklundh, Ed.), Lecture Notes in Computer Science, Vol. 800/801, pp. 567-576, Springer-Verlag, Berlin, 1994.
    • (1994) Lecture Notes in Computer Science , vol.800-801 , pp. 567-576
    • Deriche, R.1    Zhang, Z.2    Luong, Q.T.3    Faugeras, O.4
  • 11
    • 33747353205 scopus 로고
    • What can be seen in three dimensions with an uncalibrated stereo rig?
    • Proc. 2nd European Conference on Computer Vision, Santa Margherita Ligure (G. Sandini, Ed.), Springer-Verlag, Berlin
    • O. D. Faugeras, What can be seen in three dimensions with an uncalibrated stereo rig? in Proc. 2nd European Conference on Computer Vision, Santa Margherita Ligure (G. Sandini, Ed.), Lecture Notes in Computer Science, Vol. 588, pp. 563-578, Springer-Verlag, Berlin, 1992.
    • (1992) Lecture Notes in Computer Science , vol.588 , pp. 563-578
    • Faugeras, O.D.1
  • 12
    • 0002065935 scopus 로고
    • Motion from point matches: Multiplicity of solutions
    • O. D. Faugeras and S. J. Maybank, Motion from point matches: multiplicity of solutions. Int. J. Comput. Vision 4, 1990, 225-246.
    • (1990) Int. J. Comput. Vision , vol.4 , pp. 225-246
    • Faugeras, O.D.1    Maybank, S.J.2
  • 13
    • 0019574599 scopus 로고
    • Random sample consensus: A paradigm for model fitting with application to image analysis and automated cartography
    • M. Fischler and R. Bolles, Random sample consensus: a paradigm for model fitting with application to image analysis and automated cartography, Commun. Assoc. Comput. Mach. 24, 1981, 381-395.
    • (1981) Commun. Assoc. Comput. Mach. , vol.24 , pp. 381-395
    • Fischler, M.1    Bolles, R.2
  • 14
    • 0021561847 scopus 로고
    • A general selection criterion for inductive inference
    • T. O'Shea, Springer-Verlag, Berlin
    • M. P. Georgeff and C. S. Wallace, A general selection criterion for inductive inference, in Proceedings ECAI, Pisa (T. O'Shea), pp. 473-483, Springer-Verlag, Berlin, 1984.
    • (1984) Proceedings ECAI, Pisa , pp. 473-483
    • Georgeff, M.P.1    Wallace, C.S.2
  • 15
    • 0343890894 scopus 로고
    • Technical Report 72/88/N488U, Plessey Research, Roke Manor
    • C. Harris, The DROID 3D vision system, Technical Report 72/88/N488U, Plessey Research, Roke Manor, 1988.
    • (1988) The DROID 3D Vision System
    • Harris, C.1
  • 16
    • 85032868426 scopus 로고
    • Structure-from-motion under orthographic projection
    • Proc. 1st European Conference on Computer Vision (O. Faugeras, Ed.), Springer-Verlag, Berlin
    • C. Harris, Structure-from-motion under orthographic projection, in Proc. 1st European Conference on Computer Vision (O. Faugeras, Ed.), Lecture Notes in Computer Science, Vol. 427, pp. 118-128, Springer-Verlag, Berlin, 1990.
    • (1990) Lecture Notes in Computer Science , vol.427 , pp. 118-128
    • Harris, C.1
  • 17
    • 0001588514 scopus 로고
    • A combined corner and edge detector
    • C. Harris and M. Stephens, A combined corner and edge detector, in Proc. Alvey Conf., pp. 189-192, 1987.
    • (1987) Proc. Alvey Conf. , pp. 189-192
    • Harris, C.1    Stephens, M.2
  • 18
    • 84947592350 scopus 로고
    • Estimation of relative camera positions for uncalibrated cameras
    • Proc. 2nd European Conference on Computer Vision, Santa Margherita Ligure (G. Sandini, Ed.), Springer-Verlag, Berlin
    • R. I. Hartley, Estimation of relative camera positions for uncalibrated cameras, in Proc. 2nd European Conference on Computer Vision, Santa Margherita Ligure (G. Sandini, Ed.), Lecture Notes in Computer Science, Vol. 588, pp. 579-587, Springer-Verlag, Berlin, 1992.
    • (1992) Lecture Notes in Computer Science , vol.588 , pp. 579-587
    • Hartley, R.I.1
  • 20
    • 0028516066 scopus 로고
    • Projective reconstruction and invariants from multiple images
    • R. I. Hartley, Projective reconstruction and invariants from multiple images, IEEE Trans. Pattern Anal. Mach. Intell. 16(10), 1995, 1036-1041.
    • (1995) IEEE Trans. Pattern Anal. Mach. Intell. , vol.16 , Issue.10 , pp. 1036-1041
    • Hartley, R.I.1
  • 22
    • 0000263797 scopus 로고
    • Projection pursuit
    • P. J. Huber, Projection pursuit, Ann. of Statistics, 13, 1985, 433-475.
    • (1985) Ann. of Statistics , vol.13 , pp. 433-475
    • Huber, P.J.1
  • 24
    • 84957598102 scopus 로고    scopus 로고
    • Automatic singularity test for motion analysis by an information criterion
    • Proc. 4th European Conference on Computer Vision, Cambridge (B. Buxton and R. Cipolla, Eds.), Springer-Verlag
    • K. Kanatani, Automatic singularity test for motion analysis by an information criterion, in Proc. 4th European Conference on Computer Vision, Cambridge (B. Buxton and R. Cipolla, Eds.), Lecture Notes in Computer Science, Vol. 1064, pp. 697-708, Springer-Verlag, 1996.
    • (1996) Lecture Notes in Computer Science , vol.1064 , pp. 697-708
    • Kanatani, K.1
  • 28
    • 0001863842 scopus 로고
    • Constructing simple stable descriptions for image partitioning
    • Y. G. Leclerc, Constructing simple stable descriptions for image partitioning, Int. J. Comput. Vision 3, 1989, 73-102.
    • (1989) Int. J. Comput. Vision , vol.3 , pp. 73-102
    • Leclerc, Y.G.1
  • 30
    • 0002603998 scopus 로고
    • Exploring data tables, trends and shapes
    • D. C. Hoaglin, F. Mosteller, and J. W. Tukey, Eds. Wiley, New York
    • G. Li, Exploring data tables, trends and shapes, in Robust Regression, (D. C. Hoaglin, F. Mosteller, and J. W. Tukey, Eds.), pp. 281-343, Wiley, New York, 1985.
    • (1985) Robust Regression , pp. 281-343
    • Li, G.1
  • 32
    • 0001596784 scopus 로고
    • A computer algorithm for reconstructing a scene from two projections
    • H. C. Longuet-Higgins, A computer algorithm for reconstructing a scene from two projections, Nature 293, 1981, 133-135.
    • (1981) Nature , vol.293 , pp. 133-135
    • Longuet-Higgins, H.C.1
  • 33
    • 0001932622 scopus 로고
    • Multiple interpretations of a pair of images of a surface
    • H. C. Longuet-Higgins, Multiple interpretations of a pair of images of a surface, Proc. R. Soc. London, A. 418, 1988, 1-15.
    • (1988) Proc. R. Soc. London, A. , vol.418 , pp. 1-15
    • Longuet-Higgins, H.C.1
  • 35
  • 38
    • 0000399152 scopus 로고
    • Minimum-description-length principle
    • Wiley, New York
    • J. Rissanen, Minimum-description-length principle, in Encyclopedia of Statistical Sciences, Vol. 5, pp. 523-527, Wiley, New York, 1987.
    • (1987) Encyclopedia of Statistical Sciences , vol.5 , pp. 523-527
    • Rissanen, J.1
  • 40
    • 0019999307 scopus 로고
    • Fitting conic sections to "very scattered" data: An iterative refinement of the Bookstein algorithm
    • P. D. Sampson, Fitting conic sections to "very scattered" data: An iterative refinement of the Bookstein algorithm, Comput. Vision Graphics Image Process. 18, 1982, 97-108.
    • (1982) Comput. Vision Graphics Image Process. , vol.18 , pp. 97-108
    • Sampson, P.D.1
  • 41
    • 0347099842 scopus 로고
    • Motion from point matches using affine epipolar geometry
    • Proc. 3rd European Conference on Computer Vision, Stockholm (J. O. Eklundh, Ed.), Springer-Verlag, Berlin
    • L. S. Shapiro, A. Zisserman, and J. M. Brady, Motion from point matches using affine epipolar geometry, in Proc. 3rd European Conference on Computer Vision, Stockholm (J. O. Eklundh, Ed.), Lecture Notes in Computer Science, Vol. 800/801, pp. 161-166, Springer-Verlag, Berlin, 1994.
    • (1994) Lecture Notes in Computer Science , vol.800-801 , pp. 161-166
    • Shapiro, L.S.1    Zisserman, A.2    Brady, J.M.3
  • 43
    • 0029391811 scopus 로고
    • Minpran; a new robust estimator for computer vision
    • C. V. Stewart, Minpran; a new robust estimator for computer vision, IEEE Trans. Pattern Anal. Mach. Intell. 17(10), 1995, 925-938.
    • (1995) IEEE Trans. Pattern Anal. Mach. Intell. , vol.17 , Issue.10 , pp. 925-938
    • Stewart, C.V.1
  • 44
    • 33747438246 scopus 로고
    • Outlier detection and motion segmentation
    • P. S. Schenker, Ed., SPIE, Boston
    • P. H. S. Torr and D. W. Murray, Outlier detection and motion segmentation, in Sensor Fusion VI (P. S. Schenker, Ed.), pp. 432-443, Vol. 2059, SPIE, Boston, 1993.
    • (1993) Sensor Fusion VI , vol.2059 , pp. 432-443
    • Torr, P.H.S.1    Murray, D.W.2
  • 45
    • 0007729106 scopus 로고    scopus 로고
    • A review of robust methods to estimate the fundamental matrix
    • to appear
    • P. H. S. Torr and D. W. Murray, A review of robust methods to estimate the fundamental matrix, IJCV, to appear, 1997.
    • (1997) IJCV
    • Torr, P.H.S.1    Murray, D.W.2
  • 46
    • 0030649910 scopus 로고    scopus 로고
    • Performance characterization of fundamental matrix estimation under image degradation
    • P. H. S. Torr and A. Zisserman, Performance characterization of fundamental matrix estimation under image degradation, Mach. Vision Appl. 9, 1997, 321-333.
    • (1997) Mach. Vision Appl. , vol.9 , pp. 321-333
    • Torr, P.H.S.1    Zisserman, A.2
  • 47
    • 0031207058 scopus 로고    scopus 로고
    • Robust parameterization and computation of the trifocal tensor
    • to appear
    • P. H. S. Torr and A Zisserman, Robust parameterization and computation of the trifocal tensor, IVC, to appear, 1997.
    • (1997) IVC
    • Torr, P.H.S.1    Zisserman, A.2
  • 50
    • 0030678779 scopus 로고    scopus 로고
    • An assessment of information criteria for motion model selection
    • P. H. S. Torr, An assessment of information criteria for motion model selection, in CVPR97, pp. 47-53, 1997.
    • (1997) CVPR97 , pp. 47-53
    • Torr, P.H.S.1
  • 51
    • 0029226180 scopus 로고
    • The geometry of projective reconstruction i: Matching constraints and the joint image
    • W. Triggs, The geometry of projective reconstruction i: Matching constraints and the joint image, in Proc. 5th Int'l Conf. on Computer Vision, Boston, pp. 338-343, 1995.
    • (1995) Proc. 5th Int'l Conf. on Computer Vision, Boston , pp. 338-343
    • Triggs, W.1
  • 52
    • 0021212680 scopus 로고
    • Uniqueness and estimation of three-dimensional motion parameters of rigid objects with curved surfaces
    • R. Y. Tsai and T. S. Huang, Uniqueness and estimation of three-dimensional motion parameters of rigid objects with curved surfaces, IEEE Trans. Pattern Anal. Mach. Intell. 6, 1984, 13-27.
    • (1984) IEEE Trans. Pattern Anal. Mach. Intell. , vol.6 , pp. 13-27
    • Tsai, R.Y.1    Huang, T.S.2
  • 53
    • 34250872904 scopus 로고
    • Motion and structure from two perspective views: Algorithms, error analysis, and error estimation
    • J. Weng, T. S. Huang, and N. Ahuja, Motion and structure from two perspective views: Algorithms, error analysis, and error estimation, IEEE Trans. Pattern Anal. Mach. Intell. 11, 1989, 451-476.
    • (1989) IEEE Trans. Pattern Anal. Mach. Intell. , vol.11 , pp. 451-476
    • Weng, J.1    Huang, T.S.2    Ahuja, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.