Least squares fitting with elliptic paraboloids

Helmuth Späth

Vol. 18 No. 2 (2013)

Regular Articles

Least squares fitting with elliptic paraboloids

Published 2013-07-09

Helmuth Späth

Helmuth Späth
Department of Mathematics, University of Oldenburg

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Abstract

In \cite{Sp4} we discussed the problem of fitting some rotated paraboloid to given measured data in 3-space. A numerical method was developed and numerical examples were given. Recently that method was used to fit some parabolic antenna filter \cite{Sp1}. In this connection the question arises whether this method could be extended for elliptic paraboloids needed for some medical application \cite{Sp2}. We show how this could be done and recommend a numerical method more difficult but similar to that one in [4].

Keywords

least squares fitting, elliptic paraboloids, numerical method

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Author Biography

Helmuth Späth

Professor of Mathematics