DC Field | Value | Language |
---|---|---|
dc.contributor.author | BAEK, JONGCHAN | - |
dc.contributor.author | HAYEONG, JEON | - |
dc.contributor.author | KIM, GWANGJIN | - |
dc.contributor.author | HAN, SOOHEE | - |
dc.date.accessioned | 2018-05-03T05:27:50Z | - |
dc.date.available | 2018-05-03T05:27:50Z | - |
dc.date.created | 2018-01-26 | - |
dc.date.issued | 2017-05 | - |
dc.identifier.issn | 2169-3536 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/40973 | - |
dc.description.abstract | Quaternion 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.language | English | - |
dc.publisher | Institute of Electrical and Electronics Engineers Inc. | - |
dc.relation.isPartOf | IEEE Access | - |
dc.title | Visualizing Quaternion Multiplication | - |
dc.type | Article | - |
dc.identifier.doi | 10.1109/ACCESS.2017.2705196 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | IEEE Access, v.5, pp.8948 - 8955 | - |
dc.identifier.wosid | 000404270600030 | - |
dc.date.tcdate | 2019-02-01 | - |
dc.citation.endPage | 8955 | - |
dc.citation.startPage | 8948 | - |
dc.citation.title | IEEE Access | - |
dc.citation.volume | 5 | - |
dc.contributor.affiliatedAuthor | BAEK, JONGCHAN | - |
dc.contributor.affiliatedAuthor | HAYEONG, JEON | - |
dc.contributor.affiliatedAuthor | KIM, GWANGJIN | - |
dc.contributor.affiliatedAuthor | HAN, SOOHEE | - |
dc.identifier.scopusid | 2-s2.0-85028862390 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 2 | - |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | 4-dimensional spaces | - |
dc.subject.keywordAuthor | geometry | - |
dc.subject.keywordAuthor | scaling | - |
dc.subject.keywordAuthor | quaternion rotation | - |
dc.relation.journalWebOfScienceCategory | Computer Science, Information Systems | - |
dc.relation.journalWebOfScienceCategory | Engineering, Electrical & Electronic | - |
dc.relation.journalWebOfScienceCategory | Telecommunications | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Computer Science | - |
dc.relation.journalResearchArea | Engineering | - |
dc.relation.journalResearchArea | Telecommunications | - |
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