New Confocal Hyperbola-based Ellipse Fitting with Applications to Estimating Parameters of Mechanical Pipes from Point Clouds

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dc.contributor.authorMaalek, Reza
dc.contributor.authorLichti, Derek D
dc.date.accessioned2021-03-25T23:13:16Z
dc.date.available2021-03-25T23:13:16Z
dc.date.issued2021-03-14
dc.descriptionmanuscripten_US
dc.description.abstractThis manuscript presents a new method for fitting ellipses to two-dimensional data using the confocal hyperbola approximation to the geometric distance of points to ellipses. The proposed method was evaluated and compared to established methods on simulated and real-world datasets. First, it was revealed that the confocal hyperbola distance considerably outperforms other distance approximations such as algebraic and Sampson. Next, the proposed ellipse fitting method was compared with five reliable and established methods proposed by Halir, Taubin, Kanatani, Ahn and Szpak. The performance of each method as a function of rotation, aspect ratio, noise, and arclength were examined. It was observed that the proposed ellipse fitting method achieved almost identical results (and in some cases better) than the gold standard geometric method of Ahn and outperformed the remaining methods in all simulation experiments. Finally, the proposed method outperformed the considered ellipse fitting methods in estimating the geometric parameters of cylindrical mechanical pipes from point clouds. The results of the experiments show that the confocal hyperbola is an excellent approximation to the true geometric distance and produces reliable and accurate ellipse fitting in practical settings.en_US
dc.description.grantingagencyNatural Sciences and Engineering Research Council (NSERC)en_US
dc.identifier.citationMaalek, R., Lichti, D.D. (2021). New confocal hyperbola-based ellipse fitting with applications to estimating parameters of mechanical pipes from point clouds. University of Calgary.en_US
dc.identifier.grantnumber542980 - 19en_US
dc.identifier.urihttp://hdl.handle.net/1880/113178
dc.identifier.urihttps://dx.doi.org/10.11575/PRISM/38695
dc.language.isoengen_US
dc.publisherUniversity of Calgaryen_US
dc.publisher.departmentGeomatics Engineeringen_US
dc.publisher.facultySchulich School of Engineeringen_US
dc.publisher.hasversionsubmittedVersionen_US
dc.publisher.institutionUniversity of Calgaryen_US
dc.rightsUnless otherwise indicated, this material is protected by copyright and has been made available with authorization from the copyright owner. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.subjectGeomaticsen_US
dc.titleNew Confocal Hyperbola-based Ellipse Fitting with Applications to Estimating Parameters of Mechanical Pipes from Point Cloudsen_US
dc.typejournal articleen_US
ucalgary.item.requestcopytrueen_US
ucalgary.scholar.levelFacultyen_US
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