An Approximate Maximum Likelihood Linear Estimator of Circle Parameters

Graphical Models and Image Processing

Volumn 59, Issue 3, 1997, Pages 173-178

  Chan, Y T ^a   Thomas, S M ^a  

^a ROYAL MILITARY COLLEGE OF CANADA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; SPURIOUS SIGNAL NOISE;

CIRCLE PARAMETERS; MAXIMUM LIKELIHOOD LINEAR ESTIMATORS;

SIGNAL FILTERING AND PREDICTION;

EID: 0031144419     PISSN: 10773169     EISSN: None     Source Type: Journal    
DOI: 10.1006/gmip.1997.0424     Document Type: Article

References (16)

1. V. Karima, Effective circle fitting for particle trajectories, Nucl. Instrum. Methods Phys. Res. Sect. A 305, 1991, 187-191.
2. J. Porrill, Fitting ellipses and predicting confidence envelopes using a bias connected Kalman filter, Image Vision Comput. 8, No. 1 (1990), 37-41.
3. S. H. Joseph, Unbiased least squares fitting of circular arcs, CVGIP: Graphical Models Image Process. 56, No. 5 (1994), 424-432.
4. V. M. Landau, Estimation of Circular Arc Center and Its Radius, Comput. Vision Graph. Image Process. 38 (1987), 317-332.
5. W. Gander, G. H. Golub, and R. Strebel, Least-squares fitting of circles and ellipses, Bit 34 (1994), 558-578.
6. S. Thomas and Y. T. Chan, A simple approach for the estimation of circular arc center and its radius, Comput. Vision Graphics Image Process. 45 (1989), 362-370.
7. Z. Q. Wu, L. D. Wu, and A. C. Wu, The robust algorithms for finding the center of an arc, Comp. Vision Image Understanding 62, No. 3 (1995), 269-278.
8. I. D. Coope, Circle fitting by linear and nonlinear least-squares, J. Optim. Theory Appl. 76, No. 2 (1993), 381-388.
9. B. B. Chaudhuri and P. Kundu, Optimum circular fit to weighted data in multi-dimensional space, Pattern Recognition Lett. 14 (1993), 1-6.
10. L. Moura and R. Kitney, Direct method for least-squares circle fitting, Comput. Phys. Commun. 64, No. 1 (1991), 57-63.
11. N. H. Kim and S. W. Kim, Geometrical tolerances: Improved linear approximation of least squares evaluation of circularity by minimum variance, Int. J. Mach. Tools Manufacture 36, No. 3 (1996), 355-366.
12. H. I. Van Tress, Detection, Estimation, and Modulation Theory, Part I, Wiley, New York, 1968.
13. A. Papoulis, Probability, Random Variables and Stochastic Processes, McGraw-Hill, New York.
14. Y. T. Chan and S. Thomas, Cramer-Rao lower bounds for estimation of a circular arc center and its radius, Graph. Models Image Process. 57, No. 6 (1995), 527-532.
15. Soo-Chang Pei and Ji-Hwei Horng, Optimum approximation of digital planar curves using circular arcs, Pattern Recognition 29, No. 3 (1996), 383-388.
16. P. L. Rosin, Ellipse fitting by accumulating five-points fits, Pattern Recognition Lett. 14, No. 8 (1993), 661-669.