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Cited 5 time in webofscience Cited 9 time in scopus
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dc.contributor.authorBAEK, JONGCHAN-
dc.contributor.authorHAYEONG, JEON-
dc.contributor.authorKIM, GWANGJIN-
dc.contributor.authorHAN, SOOHEE-
dc.date.accessioned2018-05-03T05:27:50Z-
dc.date.available2018-05-03T05:27:50Z-
dc.date.created2018-01-26-
dc.date.issued2017-05-
dc.identifier.issn2169-3536-
dc.identifier.urihttps://oasis.postech.ac.kr/handle/2014.oak/40973-
dc.description.abstractQuaternion rotation is a powerful tool for rotating vectors in 3-D; as a result, it has been used in various engineering fields, such as navigations, robotics, and computer graphics. However, understanding it geometrically remains challenging, because it requires visualizing 4-D spaces, which makes exploiting its physical meaning intractable. In this paper, we provide a new geometric interpretation of quaternion multiplication using a movable 3-D space model, which is useful for describing quaternion algebra in a visual way. By interpreting the axis for the scalar part of quaternion as a 1-D translation axis of 3-D vector space, we visualize quaternion multiplication and describe it as a combined effect of translation, scaling, and rotation of a 3-D vector space. We then present how quaternion rotation formulas and the derivative of quaternions can be formulated and described under the proposed approach.-
dc.languageEnglish-
dc.publisherInstitute of Electrical and Electronics Engineers Inc.-
dc.relation.isPartOfIEEE Access-
dc.titleVisualizing Quaternion Multiplication-
dc.typeArticle-
dc.identifier.doi10.1109/ACCESS.2017.2705196-
dc.type.rimsART-
dc.identifier.bibliographicCitationIEEE Access, v.5, pp.8948 - 8955-
dc.identifier.wosid000404270600030-
dc.date.tcdate2019-02-01-
dc.citation.endPage8955-
dc.citation.startPage8948-
dc.citation.titleIEEE Access-
dc.citation.volume5-
dc.contributor.affiliatedAuthorBAEK, JONGCHAN-
dc.contributor.affiliatedAuthorHAYEONG, JEON-
dc.contributor.affiliatedAuthorKIM, GWANGJIN-
dc.contributor.affiliatedAuthorHAN, SOOHEE-
dc.identifier.scopusid2-s2.0-85028862390-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.wostc2-
dc.type.docTypeArticle-
dc.subject.keywordAuthor4-dimensional spaces-
dc.subject.keywordAuthorgeometry-
dc.subject.keywordAuthorscaling-
dc.subject.keywordAuthorquaternion rotation-
dc.relation.journalWebOfScienceCategoryComputer Science, Information Systems-
dc.relation.journalWebOfScienceCategoryEngineering, Electrical & Electronic-
dc.relation.journalWebOfScienceCategoryTelecommunications-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaComputer Science-
dc.relation.journalResearchAreaEngineering-
dc.relation.journalResearchAreaTelecommunications-

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한수희HAN, SOOHEE
Dept of Electrical Enginrg
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