메뉴 건너뛰기




Volumn 72, Issue 3, 2007, Pages 287-307

Application of the fisher-rao metric to ellipse detection

Author keywords

Ellipse detection; Fisher Rao metric; Flat metric; Geodesic; Hough transform; Kullback Leibler distance; Lattice; Multiresolution; Riemannian manifold; Volume of a Riemannian manifold; Voronoi's principal lattice

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; HOUGH TRANSFORMS; LATTICE CONSTANTS; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

EID: 33846263028     PISSN: 09205691     EISSN: 15731405     Source Type: Journal    
DOI: 10.1007/s11263-006-9033-z     Document Type: Article
Times cited : (8)

References (40)
  • 2
    • 0344983332 scopus 로고    scopus 로고
    • Camera calibration using spheres: A semi-definite programming approach
    • Nice
    • Agrawal, M. and Davis, L.S. 2003. Camera calibration using spheres: a semi-definite programming approach. In Proc. 9th International Conference on Computer Vision, Nice, vol. 2, pp. 782-789.
    • (2003) Proc. 9th International Conference on Computer Vision , vol.2 , pp. 782-789
    • Agrawal, M.1    Davis, L.S.2
  • 4
    • 0003355631 scopus 로고
    • Differential-Geometrical Methods in Statistics
    • Springer
    • Amari, S.-I. 1985. Differential-Geometrical Methods in Statistics. Lecture Notes in Computer Science, 28. Springer.
    • (1985) Lecture Notes in Computer Science , vol.28
    • Amari, S.-I.1
  • 5
    • 23744478860 scopus 로고    scopus 로고
    • Near-optimal detection of geometric objects by fast multiscale methods
    • Arias-Castro, E., Donoho, D. and Huo, X. 2005. Near-optimal detection of geometric objects by fast multiscale methods. IEEE Transactions on Information Theory, 51(7): 2402-2425.
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.7 , pp. 2402-2425
    • Arias-Castro, E.1    Donoho, D.2    Huo, X.3
  • 6
    • 0003333796 scopus 로고    scopus 로고
    • Riemannian Geometry: A modern introduction
    • CUP
    • Chavel, I. 1996. Riemannian Geometry: a modern introduction. Cambridge Tracts in Mathematics, vol. 108, CUP.
    • (1996) Cambridge Tracts in Mathematics , vol.108
    • Chavel, I.1
  • 7
    • 33846212330 scopus 로고    scopus 로고
    • Conway, J.H. and Sloane, N.J.A. 1999. Sphere Packings, Lattices and Groups. Grundlehren der mathematischen Wissenschaften, 290. Springer.
    • Conway, J.H. and Sloane, N.J.A. 1999. Sphere Packings, Lattices and Groups. Grundlehren der mathematischen Wissenschaften, vol. 290. Springer.
  • 10
    • 1442332687 scopus 로고    scopus 로고
    • Maximal meaningful events and applications to image analysis
    • Desolneux, A., Moisan, L. and Morel, J.-M. 2003. Maximal meaningful events and applications to image analysis. The Annals of Statistics, 31(6):1822-1851.
    • (2003) The Annals of Statistics , vol.31 , Issue.6 , pp. 1822-1851
    • Desolneux, A.1    Moisan, L.2    Morel, J.-M.3
  • 14
    • 0032492432 scopus 로고    scopus 로고
    • Independent component filters of natural images compared with simple cells in primary visual cortex
    • van Hateren, J.H. and van der Schaaf, A. 1998. Independent component filters of natural images compared with simple cells in primary visual cortex. Proceedings of the Royal Society of London, Series B, 265:359-366.
    • (1998) Proceedings of the Royal Society of London, Series B , vol.265 , pp. 359-366
    • van Hateren, J.H.1    van der Schaaf, A.2
  • 18
    • 6344280145 scopus 로고    scopus 로고
    • Automatic detection of circular objects by ellipse growing
    • Kanatani, K. and Ohta, N. 2003. Automatic detection of circular objects by ellipse growing. International Journal of Image and Graphics, 4(1): 35-50.
    • (2003) International Journal of Image and Graphics , vol.4 , Issue.1 , pp. 35-50
    • Kanatani, K.1    Ohta, N.2
  • 19
    • 35048874719 scopus 로고    scopus 로고
    • Kwolek, B. 2004. Stereo-vision based head tracking using color and ellipse fitting in a particle filter. In Pajdla, T. and Matas, J. (eds.) 2004. Computer Vision - ECCV 2004, 4, pp. 192-204. Lecture Notes in Computer Science, 3024, Springer.
    • Kwolek, B. 2004. Stereo-vision based head tracking using color and ellipse fitting in a particle filter. In Pajdla, T. and Matas, J. (eds.) 2004. Computer Vision - ECCV 2004, vol. 4, pp. 192-204. Lecture Notes in Computer Science, vol. 3024, Springer.
  • 20
    • 33646505098 scopus 로고    scopus 로고
    • Semi-local affine parts for object recognition
    • Hoppe, A, Barman, S. and Ellis, T, eds, BMVA
    • Lazebnik, S., Schmid, C. and Ponce, J. 2004. Semi-local affine parts for object recognition. In Hoppe, A., Barman, S. and Ellis, T. (eds.) British Machine Vision Conference 2004, vol. 2, pp. 959-968, BMVA.
    • (2004) British Machine Vision Conference , vol.2 , pp. 959-968
    • Lazebnik, S.1    Schmid, C.2    Ponce, J.3
  • 24
    • 0002895524 scopus 로고    scopus 로고
    • Fast face location in complex backgrounds
    • Wechsler, H, Phillips, P.J, Bruce, V, Soulié, F. and Huang, T.S, eds, Face Recognition from Theory to Applications, Springer-Verlag
    • Maio, D. and Maltoni, D. 1998. Fast face location in complex backgrounds. In Wechsler, H., Phillips, P.J., Bruce, V., Soulié, F. and Huang, T.S. (eds.) Face Recognition from Theory to Applications, NATO LSI Series, pp. 568-577, Springer-Verlag.
    • (1998) NATO LSI Series , pp. 568-577
    • Maio, D.1    Maltoni, D.2
  • 25
    • 1542512388 scopus 로고    scopus 로고
    • Fisher information and model selection for projective transformations of the line
    • Maybank, S.J. 2003. Fisher information and model selection for projective transformations of the line. Proceedings of the Royal Society of London, Series A, 459: 1-21.
    • (2003) Proceedings of the Royal Society of London, Series A , vol.459 , pp. 1-21
    • Maybank, S.J.1
  • 26
    • 9244238711 scopus 로고    scopus 로고
    • Detection of image structures using Fisher information and the Rao metric
    • Maybank, S.J. 2004. Detection of image structures using Fisher information and the Rao metric. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26(12): 1579-1589.
    • (2004) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.26 , Issue.12 , pp. 1579-1589
    • Maybank, S.J.1
  • 27
    • 24044525228 scopus 로고    scopus 로고
    • The Fisher-Rao metric for projective transformations of the line
    • Maybank, S.J. 2005. The Fisher-Rao metric for projective transformations of the line. Intel-national Journal of Computer Vision, 63(3): 191-206.
    • (2005) Intel-national Journal of Computer Vision , vol.63 , Issue.3 , pp. 191-206
    • Maybank, S.J.1
  • 28
    • 33749639517 scopus 로고    scopus 로고
    • Application of the Fisher-Rao metric to structure detection
    • Maybank, S.J. 2006. Application of the Fisher-Rao metric to structure detection. Journal of Mathematical Imaging and Vision, 25(1).
    • (2006) Journal of Mathematical Imaging and Vision , vol.25 , Issue.1
    • Maybank, S.J.1
  • 29
    • 0030230397 scopus 로고    scopus 로고
    • Assessing error of fit functions for ellipses
    • Rosin, P.L. 1996. Assessing error of fit functions for ellipses. Graphical Models and Image Processing, 58(5): 494-502.
    • (1996) Graphical Models and Image Processing , vol.58 , Issue.5 , pp. 494-502
    • Rosin, P.L.1
  • 30
    • 0031237788 scopus 로고    scopus 로고
    • Efficiently locating objects using the Haus-dorff distance
    • Rucklidge, W.J. 1997. Efficiently locating objects using the Haus-dorff distance. International Journal of Computer Vision, 24(3): 251-270.
    • (1997) International Journal of Computer Vision , vol.24 , Issue.3 , pp. 251-270
    • Rucklidge, W.J.1
  • 32
    • 0026254852 scopus 로고
    • Estimation of planar curves, surfaces, and non planar space curves defined by implicit equations with applications to edge and range image segmentation
    • Taubin, G. 1991. Estimation of planar curves, surfaces, and non planar space curves defined by implicit equations with applications to edge and range image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(11): 1115-1138.
    • (1991) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.13 , Issue.11 , pp. 1115-1138
    • Taubin, G.1
  • 37
    • 0027387861 scopus 로고
    • Randomized Hough transform (RHT): Basic mechanisms, algorithms and computational complexities
    • Xu, L. and Oja, E. 1993. Randomized Hough transform (RHT): basic mechanisms, algorithms and computational complexities. Computer Vision, Graphics, and Image Processing: Image Understanding, 57(2): 131-154.
    • (1993) Computer Vision, Graphics, and Image Processing: Image Understanding , vol.57 , Issue.2 , pp. 131-154
    • Xu, L.1    Oja, E.2
  • 39
    • 0032050058 scopus 로고    scopus 로고
    • Computable elastic distances between shapes
    • Younes, L. 1998. Computable elastic distances between shapes. SIAM Journal on Applied Mathematics, 58(2): 565-586.
    • (1998) SIAM Journal on Applied Mathematics , vol.58 , Issue.2 , pp. 565-586
    • Younes, L.1
  • 40
    • 0030815476 scopus 로고    scopus 로고
    • Parameter estimation techniques: A tutorial with application to conic fitting
    • Zhang, Z. 1997. Parameter estimation techniques: a tutorial with application to conic fitting. Image and. Vision Computing Journal, 15(1): 59-76.
    • (1997) Image and. Vision Computing Journal , vol.15 , Issue.1 , pp. 59-76
    • Zhang, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.