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Least squares fitting of conic sections with type identification by NURBS of degree two

By I. Seufer and H. Späth

Abstract

Fitting of conic sections is used in reflectometry, aircraft industry, metrology, computer vision, astronomy and propagation of sound waves [5]. So far numerical algorithms assume the type of the conic section to be known in advance. We consider the problem of additionally identifying the type during fitting, i.e. deciding whether the given data are better fitted by an ellipse, a hyperbola or a parabola. To solve this problem we apply a well-known descent algorithm [3,4,6] to NURBS of degree two. Numerical examples will be given

Topics: conic sections; least squares fitting
Publisher: Department of Mathematics, University of Osijek
Year: 1999
OAI identifier: oai:hrcak.srce.hr:874

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