Least squares data fitting with implicit functions

BIT Numerical Mathematics

Volumn 36, Issue 4, 1996, Pages 842-854

  Varah, J M ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Data fitting; Ellipses; Functions; Implicit; Least squares

Indexed keywords

EID: 0043158652     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01733795     Document Type: Article

References (6)

1. P. T. Boggs, R. H. Byrd, and R. B. Schnabel, A stable and efficient algorithm for nonlinear orthogonal distance regression, SIAM J. Sci. Stat. Comp., 8 (1987), pp. 1052-1078.
2. F. L. Bookstein, Fitting conic sections to scattered data, Computer Graphics and Image Processing, 9 (1979), pp. 56-71.
3. W. Gander, G. H. Golub, and R. Strebel, Fitting of circles and ellipses: least squares solution, BIT, 34 (1994), pp. 556-577.
4. R. N. Goldman, T. W. Sederberg, and D. C. Anderson, Vector elimination: a technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves, Computer Aided Geometric Design, 1 (1984), pp. 327-356.
5. T. W. Sederberg, D. C. Anderson, and R. N. Goldman, Implicit representation of parametric curves and surfaces, Computer Vision, Graphics, and Image Processing, 28 (1984), pp. 72-84.
6. T. W. Sederberg and R. N. Goldman, Algebraic geometry for computer-aided geometric design, Proceedings of IEEE Computer Graphics and Applications (June 1986), pp. 52-59.