Motions on curves and surfaces using geometric algebra

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dc.contributor.authorArslan, Selahattin
dc.contributor.departmentMatematiktr_TR
dc.contributor.facultyFen Fakültesitr_TR
dc.date.accessioned2022-12-26T10:45:01Z
dc.date.available2022-12-26T10:45:01Z
dc.date.issued2022
dc.description.abstractGeometric algebra is a useful tool to overcome some problems in kinematics. Thus, the geometric algebra has attracted the attention of many researchers. In this paper, quaternion operators on curves and surfaces in Euclidean 3-space are defined by using geometric algebra. These operators generate the curves or the surfaces from the points, curves or surfaces. Using quaternion operators, we obtain motions that have orbits along the generated curve or surface. Also, these motions are expressed as 1-parameter or 2-parameter homothetic motions.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage50tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue1tr_TR
dc.identifier.startpage39tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.878766tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86453
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.878766tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıtr_TR
dc.subjectGeometric algebra, curves, surfaces, quaternions, rotation matrices, homothetic motionstr_TR
dc.titleMotions on curves and surfaces using geometric algebratr_TR
dc.typeArticletr_TR

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