Circle fitting by linear and nonlinear least squares

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dc.contributor.authorCoope, Ian D.
dc.date.accessioned2015-10-08T01:39:11Z
dc.date.available2015-10-08T01:39:11Z
dc.date.issued1992en
dc.description.abstractThe problem of determining the circle of best fit to a set of points in the plane (or the obvious generalisation ton-dimensions) is easily formulated as a nonlinear total least squares problem which may be solved using a Gauss-Newton minimisation algorithm. This straightforward approach is shown to be inefficient and extremely sensitive to the presence of outliers. An alternative formulation allows the problem to be reduced to a linear test squares problem which is trivially solved. The recommended approach is shown to have .the added advantage of being much less sensitive to outliers than the nonlinear least squares approach.en
dc.identifier.urihttp://hdl.handle.net/10092/11104
dc.language.isoen
dc.publisherUniversity of Canterbury. Dept. of Mathematicsen
dc.relation.isreferencedbyNZCUen
dc.rightsCopyright Ian D. Coopeen
dc.rights.urihttps://canterbury.libguides.com/rights/thesesen
dc.subjectcurve fittingen
dc.subjectcircle fittingen
dc.subjecttotal least squaresen
dc.subjectnon-linear least squaresen
dc.subject.anzsrcFields of Research::49 - Mathematical sciences::4903 - Numerical and computational mathematics::490302 - Numerical analysisen
dc.titleCircle fitting by linear and nonlinear least squaresen
dc.typeReports
thesis.degree.grantorUniversity of Canterburyen
thesis.degree.levelResearch Reporten
thesis.degree.nameResearch Reporten
uc.bibnumber366906en
uc.collegeFaculty of Engineeringen
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