메뉴 건너뛰기




Volumn 16, Issue 3, 1994, Pages 320-326

Statistical Bias of Conic Fitting and Renormalization

Author keywords

Conic; curve fitting; ellipse; error analysis; renormalization

Indexed keywords

CURVE FITTING; ERROR ANALYSIS; IMAGE PROCESSING; LEAST SQUARES APPROXIMATIONS; PATTERN RECOGNITION; STATISTICAL METHODS;

EID: 0028400154     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/34.276132     Document Type: Article
Times cited : (113)

References (22)
  • 1
    • 0002830786 scopus 로고
    • Representation of digitized contours in terms of conic arcs and straight-line segments
    • A. Albano, “Representation of digitized contours in terms of conic arcs and straight-line segments,” Comput. Graphics Image Processing, vol. 3, pp. 23-33, 1974.
    • (1974) Comput. Graphics Image Processing , vol.3 , pp. 23-33
    • Albano, A.1
  • 2
    • 0025956563 scopus 로고
    • On three-dimensional surface reconstruction methods
    • R. M. Bolle and B. C. Vemuri, “On three-dimensional surface reconstruction methods,” IEEE Trans. Pattern Anal. Machine Intell., vol. 13, no. 1, pp. 1-13, 1991.
    • (1991) IEEE Trans. Pattern Anal. Machine Intell. , vol.13 , Issue.1 , pp. 1-13
    • Bolle, R.M.1    Vemuri, B.C.2
  • 3
    • 0018286490 scopus 로고
    • Fitting conic sections to scattered data
    • F. L. Bookstein, “Fitting conic sections to scattered data,” Comput. Graphics Image Processing, vol. 9, pp. 56-71, 1979.
    • (1979) Comput. Graphics Image Processing , vol.9 , pp. 56-71
    • Bookstein, F.L.1
  • 4
    • 0017006144 scopus 로고
    • On the computational cost of approximating and recognizing noise-perturbed straight lines and quadratic arcs in the plane
    • D. R. Cooper and N. Yalabik, “On the computational cost of approximating and recognizing noise-perturbed straight lines and quadratic arcs in the plane,” IEEE Trans. Comput., vol. 25, pp. 1020-1032, 1976.
    • (1976) IEEE Trans. Comput. , vol.25 , pp. 1020-1032
    • Cooper, D.R.1    Yalabik, N.2
  • 5
    • 0024526250 scopus 로고
    • Finding ellipses using the generalised Hough transform
    • E. R. Davies, “Finding ellipses using the generalised Hough transform,” Pattern Recogn. Lett., vol. 9, pp. 87-96, 1989.
    • (1989) Pattern Recogn. Lett. , vol.9 , pp. 87-96
    • Davies, E.R.1
  • 6
    • 0000295271 scopus 로고
    • Ellipse detection and matching with uncertainty
    • T. Ellis, A. Abboot, and B. Brillault, “Ellipse detection and matching with uncertainty,” Image Vision Comput., vol. 10, no 5, pp. 271-276, 1992.
    • (1992) Image Vision Comput. , vol.10 , Issue.5 , pp. 271-276
    • Ellis, T.1    Abboot, A.2    Brillault, B.3
  • 7
    • 0026243593 scopus 로고
    • Invariant descriptors for 3-D object recognition and pose
    • D. Forsyth et al., “Invariant descriptors for 3-D object recognition and pose,” IEEE Trans. Pattern Anal. Machine Intell., vol. 13, no. 10, pp. 971-991, 1991.
    • (1991) IEEE Trans. Pattern Anal. Machine Intell. , vol.13 , Issue.10 , pp. 971-991
    • Forsyth, D.1
  • 9
    • 0026258726 scopus 로고
    • Computational projective geometry
    • K. Kanatani, “Computational projective geometry,” CVGIP: Image Understanding, vol. 54, no. 3, pp. 333-348, 1991.
    • (1991) CVGIP: Image Understanding , vol.54 , Issue.3 , pp. 333-348
    • Kanatani, K.1
  • 11
    • 0027147196 scopus 로고
    • Unbiased estimation and statistical analysis of 3-D rigid motion from two views
    • K. Kanatani, “Unbiased estimation and statistical analysis of 3-D rigid motion from two views,” IEEE Trans. Pattern Anal. Machine Intell., vol. 15, no. 1, pp. 37-50, 1993.
    • (1993) IEEE Trans. Pattern Anal. Machine Intell. , vol.15 , Issue.1 , pp. 37-50
    • Kanatani, K.1
  • 12
    • 43949164005 scopus 로고    scopus 로고
    • 3-D interpretation of conics and orthogonality
    • K. Kanatani and W. Liu, “3-D interpretation of conics and orthogonality,” CVGIP: Image Understanding, vol. 58, no. 3, pp. 286-301.
    • CVGIP: Image Understanding , vol.58 , Issue.3 , pp. 286-301
    • Kanatani, K.1    Liu, W.2
  • 13
    • 0018729373 scopus 로고
    • A note on polygonal and elliptical approximation of mechanical parts
    • Y. Nakagawa and A. Rosenfeld, “A note on polygonal and elliptical approximation of mechanical parts,” Pattern Recogn., vol. 11, pp. 133-142, 1979.
    • (1979) Pattern Recogn. , vol.11 , pp. 133-142
    • Nakagawa, Y.1    Rosenfeld, A.2
  • 14
    • 0001932390 scopus 로고
    • Conic sections in chromosome analysis
    • K. A. Paton, “Conic sections in chromosome analysis,” Pattern Recogn., vol. 2, pp. 39-51, 1970.
    • (1970) Pattern Recogn. , vol.2 , pp. 39-51
    • Paton, K.A.1
  • 15
    • 0025388574 scopus 로고
    • Fitting ellipses and predicting confidence envelopes using a bias corrected Kalman filter
    • J. Porrill, “Fitting ellipses and predicting confidence envelopes using a bias corrected Kalman filter,” Image Vision Comput., vol. 8, no. 1, pp. 37-41, 1990.
    • (1990) Image Vision Comput. , vol.8 , Issue.1 , pp. 37-41
    • Porrill, J.1
  • 16
    • 0023379285 scopus 로고
    • Direct leastsquares fitting of algebraic surfaces
    • V. Pratt, “Direct leastsquares fitting of algebraic surfaces,” Comput. Graphics, vol. 21, no. 4, pp. 145-152, 1987.
    • (1987) Comput. Graphics , vol.21 , Issue.4 , pp. 145-152
    • Pratt, V.1
  • 18
    • 0026359279 scopus 로고
    • Accurate parameter estimation of quadratic curves from grey-level images
    • R. Safaee-Rad, I. Tchoukanov, B. Benhabib, and K. C. Smith, “Accurate parameter estimation of quadratic curves from grey-level images,” CVGIP: Image Understanding, vol. 54, no. 2, pp. 259-274, 1991.
    • (1991) CVGIP: Image Understanding , vol.54 , Issue.2 , pp. 259-274
    • Safaee-Rad, R.1    Tchoukanov, I.2    Benhabib, B.3    Smith, K.C.4
  • 19
    • 38249009625 scopus 로고
    • Constraints on quadratic-curved features under perspective projection
    • R. Safaee-Rad, I. Tchoukanov, K. C. Smith, and B. Benhabib, “Constraints on quadratic-curved features under perspective projection,” Image Vision Comput., vol. 19, no. 8, pp. 532-548, 1992.
    • (1992) Image Vision Comput. , vol.19 , Issue.8 , pp. 532-548
    • Safaee-Rad, R.1    Tchoukanov, I.2    Smith, K.C.3    Benhabib, B.4
  • 20
    • 0026938305 scopus 로고
    • Three-dimensional location estimation of circular features for machine vision
    • ―, “Three-dimensional location estimation of circular features for machine vision,” IEEE Trans. Robotics Automat., vol. 8, no. 5, pp. 624-640, 1992.
    • (1992) IEEE Trans. Robotics Automat , vol.8 , Issue.5 , pp. 624-640
  • 21
    • 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. Graphics Image Processing, vol. 18, pp. 97-108, 1982.
    • (1982) Comput. Graphics Image Processing , vol.18 , pp. 97-108
    • Sampson, P.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.