论文信息 - Ellipse Fitting Using Orthogonal Hyperbolae and Stirling's Oval

Ellipse Fitting Using Orthogonal Hyperbolae and Stirling's Oval

Two methods for approximating the normal distance to an ellipse using (a) its orthogonal hyperbolae and (b) Stirling's oval are described. Analysis with a set of quantitative measures shows that the former provides an accurate approximation with few irregularities or biases. Its suitability is evaluated by comparing several approximations as error of fit functions and applying them to ellipse fitting.

Paul L. Rosin

[1] Ian Tweddle,et al. James Stirling: This about series and such things , 1988 .

[2] PAUL D. SAMPSON,et al. Fitting conic sections to "very scattered" data: An iterative refinement of the bookstein algorithm , 1982, Comput. Graph. Image Process..

[3] Paul L. Rosin. Analysing Error of Fit Functions for Ellipses , 1996, BMVC.

[4] W. Gander,et al. Least-squares fitting of circles and ellipses , 1994 .

[5] Beno Benhabib,et al. Accurate parameter estimation of quadratic curves from grey-level images , 1991, CVGIP Image Underst..

[6] Theodosios Pavlidis,et al. Curve Fitting with Conic Splines , 1983, TOGS.

[7] Andrew W. Fitzgibbon,et al. A Buyer's Guide to Conic Fitting , 1995, BMVC.

[8] John Hart,et al. Distance to an Ellipsoid , 1994, Graphics Gems.

[9] Paul L. Rosin. Further Five-Point Fit Ellipse Fitting , 1999, Graph. Model. Image Process..

[10] Paul L. Rosin. Assessing Error of Fit Functions for Ellipses , 1996, CVGIP Graph. Model. Image Process..

[11] M. Levine,et al. Extracting geometric primitives , 1993 .