Publication:
An Expanded Dual Quaternion Algorithm for 3D Helmert Transformation and Determination of the VCV Matrix of the Transformation's Parameters

Simple item page
dc.authorscopusid36633823900
dc.contributor.authorBektas, Sebahattin
dc.date.accessioned2025-12-11T00:33:29Z
dc.date.issued2024
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Bektas, Sebahattin] Ondokuz Mayis Univ Samsun, Fac Engn, Geomatics Engn, Samsun, Turkiyeen_US
dc.description.abstract3D coordinate transformation is a problem frequently encountered in many different fields, for example, computer graphics, robotics, aeronautics and computer vision, in addition, in surveying, datum transformation and the transformation of lidar point cloud. This study aims to introduce a completely new expanded dual quaternion method that performs 3D coordinate transformation, which can also calculate the variance-covariance (VCV) matrix of the transformation parameters. The new dual quaternion algorithm (DQA) presented here will be given with two numerical examples as simply and clearly as possible.en_US
dc.description.sponsorshipI thank the editor and the reviewers for their contributions to the article.en_US
dc.description.sponsorshipI thank the editor and the reviewers for their contributions to the article.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.doi10.1080/14498596.2023.2274997
dc.identifier.endpage680en_US
dc.identifier.issn1449-8596
dc.identifier.issn1836-5655
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85177433424
dc.identifier.scopusqualityQ2
dc.identifier.startpage665en_US
dc.identifier.urihttps://doi.org/10.1080/14498596.2023.2274997
dc.identifier.urihttps://hdl.handle.net/20.500.12712/37399
dc.identifier.volume69en_US
dc.identifier.wosWOS:001105504300001
dc.identifier.wosqualityQ3
dc.institutionauthorBektas, Sebahattin
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofJournal of Spatial Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject3D Helmert Transformationen_US
dc.subjectDual Quaternion Transformationen_US
dc.subjectVariance-Covariance Matrixen_US
dc.subjectLeast Squares Methoden_US
dc.titleAn Expanded Dual Quaternion Algorithm for 3D Helmert Transformation and Determination of the VCV Matrix of the Transformation's Parametersen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

Collections

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu