Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola

The least-squares fitting minimizes the squares sum of error-of-fit in pred efined measures. By the geometric fitting, the error distances are defined with the orthogonal, or shortest, distances from the given points to the ge ometric feature to be fitted. For the geometric fitting of circle/sphere/el lipse/hyperbola/parabota, simple and robust nonparametric algorithms are pr oposed. These are based on the coordinate description of the corresponding point on the geometric feature for the given point, where the connecting li ne of the two points is the shortest path from the given point to the geome tric feature to be fitted. (C) 2001 Pattern Recognition Society. Published by Elsevier Science Ltd. All rights reserved.