Numerical Aspects of Multilateration for Volumetric Error Calculation

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dc.contributor.authorHolub, Michalcs
dc.contributor.authorZatočilová, Jitkacs
dc.contributor.authorMarek, Tomášcs
dc.contributor.authorBlecha, Petrcs
dc.contributor.authorHeinrich, Petrcs
dc.coverage.issue833cs
dc.coverage.volume10cs
dc.date.issued2022-09-21cs
dc.description.abstractWe discuss two approaches to multilateration with a particular focus on numerical aspects for a given dataset. More precisely, we calculate the volumetric errors of the MCV 754 milling machine from the data measured by a LaserTRACER and provide criteria showing which numerical method is appropriate for the solution of the multilateration problem with respect to a given measurement dataset. In the first case, we consider two cost functions of the optimisation problem; in the second, we use the extremal principle method. We discuss the calculation accuracy depending on the matrix condition number. Our results are compared to the reference results produced by the Trac-Cal software, which is a standard used by most producers for error compensations.en
dc.formattextcs
dc.format.extent1-15cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationMachines. 2022, vol. 10, issue 833, p. 1-15.en
dc.identifier.doi10.3390/machines10100833cs
dc.identifier.issn2075-1702cs
dc.identifier.orcid0000-0002-3101-9068cs
dc.identifier.orcid0000-0002-2058-9460cs
dc.identifier.orcid0000-0003-3672-9787cs
dc.identifier.orcid0000-0003-4182-288Xcs
dc.identifier.other179249cs
dc.identifier.researcheridD-5710-2018cs
dc.identifier.researcheridAAS-5230-2020cs
dc.identifier.scopus55643022000cs
dc.identifier.scopus56996962300cs
dc.identifier.scopus36247237500cs
dc.identifier.urihttp://hdl.handle.net/11012/208691
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofMachinescs
dc.relation.urihttps://www.mdpi.com/2075-1702/10/10/833cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2075-1702/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectmultilaterationen
dc.subjectnumerical modelen
dc.subjectvolumetric errorsen
dc.subjectmachine tool erroren
dc.titleNumerical Aspects of Multilateration for Volumetric Error Calculationen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-179249en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:48:54en
sync.item.modts2025.01.17 18:49:51en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav výrobních strojů, systémů a robotikycs
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