Frenet-Serret and the Estimation of Curvature and Torsion
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Kwang-Rae | - |
dc.contributor.author | Kim, Peter T. | - |
dc.contributor.author | Koo, Ja-Yong | - |
dc.contributor.author | Pierrynowski, Michael R. | - |
dc.date.accessioned | 2021-09-05T23:06:21Z | - |
dc.date.available | 2021-09-05T23:06:21Z | - |
dc.date.created | 2021-06-14 | - |
dc.date.issued | 2013-08 | - |
dc.identifier.issn | 1932-4553 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/102516 | - |
dc.description.abstract | In this paper we approach the problem of analyzing space-time curves. In terms of classical geometry, the characterization of space-curves can be summarized in terms of a differential equation involving functional parameters curvature and torsion whose origins are from the Frenet-Serret framework. In particular, curvature measures the rate of change of the angle which nearby tangents make with the tangent at some point. In the situation of a straight line, curvature is zero. Torsion measures the twisting of a curve, and the vanishing of torsion describes a curve whose three dimensional range is restricted to a two-dimensional plane. By using splines, we provide consistent estimators of curves and in turn, this provides consistent estimators of curvature and torsion. We illustrate the usefulness of this approach on a biomechanics application. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | - |
dc.subject | REGRESSION SPLINES | - |
dc.subject | CAROTID-ARTERY | - |
dc.subject | GAIT ANALYSIS | - |
dc.subject | CURVES | - |
dc.subject | MODELS | - |
dc.title | Frenet-Serret and the Estimation of Curvature and Torsion | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Koo, Ja-Yong | - |
dc.identifier.doi | 10.1109/JSTSP.2012.2232280 | - |
dc.identifier.scopusid | 2-s2.0-84880893946 | - |
dc.identifier.wosid | 000322025600009 | - |
dc.identifier.bibliographicCitation | IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, v.7, no.4, pp.646 - 654 | - |
dc.relation.isPartOf | IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING | - |
dc.citation.title | IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING | - |
dc.citation.volume | 7 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 646 | - |
dc.citation.endPage | 654 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Engineering | - |
dc.relation.journalWebOfScienceCategory | Engineering, Electrical & Electronic | - |
dc.subject.keywordPlus | REGRESSION SPLINES | - |
dc.subject.keywordPlus | CAROTID-ARTERY | - |
dc.subject.keywordPlus | GAIT ANALYSIS | - |
dc.subject.keywordPlus | CURVES | - |
dc.subject.keywordPlus | MODELS | - |
dc.subject.keywordAuthor | Binormal | - |
dc.subject.keywordAuthor | biomechanics | - |
dc.subject.keywordAuthor | bone pin and skin marker | - |
dc.subject.keywordAuthor | differential equations | - |
dc.subject.keywordAuthor | knots | - |
dc.subject.keywordAuthor | normal | - |
dc.subject.keywordAuthor | smooth curve | - |
dc.subject.keywordAuthor | splines | - |
dc.subject.keywordAuthor | tangent | - |
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