Estimating the parameters of an ellipse when angular differences are known
type: Item
instance of: scholarly article
title: Estimating the parameters of an ellipse when angular differences are known
zbMATH Open document ID: 0939.62050
author: Helmuth Späth
published in: Computational Statistics
publication date: 2000-05-24T00:00:00Z
review text: The ellipse curve model \[ x(t)=a+p\cos(t+\alpha),\quad y(t)=b+q\sin(t+\alpha), \] is fitted to data \((x_i,y_i,t_i)\), \(i=1,\dots,n>5\), via the least squares method. An algorithm which uses analytical reduction of the problem and iterative methods are described. The problem of ellipses in general position (rotated by an unknown angle) is also considered. Some numerical results are presented.
Mathematics Subject Classification ID: 62H11
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 51N20
zbMATH DE Number: 1452450
zbMATH Keywords: ellipses
zbMATH Keywords: fitting to data
zbMATH Keywords: least squares
zbMATH Keywords: angular differences
MaRDI profile type: Publication
full work available at URL: s001800050027
OpenAlex ID: W2006069691
cites work: Q4226179
cites work: Least-squares fitting of circles and ellipses
cites work: Q4739659
cites work: Least-squares fitting of ellipses and hyperbolas
DOI: 10.1007/S001800050027
description: scientific article; zbMATH DE number 1452450