Acta Geodaetica et Geophysica Hungarica
Volume/Issue:
Volume 47: Issue 4
Geometric interpretation and precision analysis of algebraic ellipse fitting using least squares method
Authors:
O. Kurt Kocaeli University Engineering Faculty, Geodesy and Photogrammetry Engineering Department Kocaeli 41380 Turkey

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O. Arslan Kocaeli University Engineering Faculty, Geodesy and Photogrammetry Engineering Department Kocaeli 41380 Turkey

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Pages:
430–440
Online Publication Date:
22 Nov 2012
Publication Date:
01 Dec 2012
Article Category:
Journal Article
DOI:
https://doi.org/10.1556/ageod.47.2012.4.4
Keywords:
algebraic ellipse fitting; error distance; fitting; least squares; precision
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This paper presents a new approach for precision estimation for algebraic ellipse fitting based on combined least squares method. Our approach is based on coordinate description of the ellipse geometry to determine the error distances of the fitting method. Since it is an effective fitting algorithm the well-known Direct Ellipse Fitting method was selected as an algebraic method for precision estimation. Once an ellipse fitted to the given data points, algebraic distance residuals for each data point and fitting accuracy can be computed. Generally, the adopted approach has revealed geometrical aspect of precision estimation for algebraic ellipse fitting. The experimental results revealed that our approach might be a good choice for precision estimation of the ellipse fitting method.

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Cover Acta Geodaetica et Geophysica Hungarica
Acta Geodaetica et Geophysica Hungarica
Print ISSN:
1217-8977
Online ISSN:
1587-1037

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Acta Geodaetica et Geophysica
Language English
Size B5
Year of
Foundation		 2013
Volumes
per Year		 1
Issues
per Year		 4
Founder Magyar Tudományos Akadémia
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó Springer
Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 2213-5812 (Print)
ISSN 2213-5820 (Online)

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