The conversion of a dynamic B-spline curve into piecewise polynomials in power form
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, DS | - |
dc.contributor.author | Ryu, J | - |
dc.contributor.author | Lee, HC | - |
dc.contributor.author | Shin, H | - |
dc.date.accessioned | 2022-04-11T02:42:41Z | - |
dc.date.available | 2022-04-11T02:42:41Z | - |
dc.date.created | 2022-04-11 | - |
dc.date.issued | 2002-04 | - |
dc.identifier.issn | 0010-4485 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/26843 | - |
dc.description.abstract | The evaluation of points and the computations of inflection points or cusps on a curve are often necessary in CAGD applications. When a curve is represented in a B-spline form, such computations can be made easier once it is transformed into a set of piecewise polynomial curves in power form. The usual practice of the transformation of a B-spline curve into a set of piecewise polynomial curves in power form is done either by a knot refinement followed by basis conversions, or by applying a Taylor expansion on each knot span of a B-spline curve. Presented in this paper is a new algorithm to convert a B-spline curve into a set of piecewise polynomial curves in power form. Experiment shows that the proposed algorithm significantly outperforms the conventional approach when one or more control points of a B-spline curve are continuously moving. (C) 2002 Elsevier Science Ltd. All rights reserved. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCI LTD | - |
dc.title | The conversion of a dynamic B-spline curve into piecewise polynomials in power form | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Lee, HC | - |
dc.identifier.doi | 10.1016/S0010-4485(01)00090-2 | - |
dc.identifier.scopusid | 2-s2.0-0037016279 | - |
dc.identifier.wosid | 000174218800006 | - |
dc.identifier.bibliographicCitation | COMPUTER-AIDED DESIGN, v.34, no.4, pp.337 - 345 | - |
dc.relation.isPartOf | COMPUTER-AIDED DESIGN | - |
dc.citation.title | COMPUTER-AIDED DESIGN | - |
dc.citation.volume | 34 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 337 | - |
dc.citation.endPage | 345 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Computer Science | - |
dc.relation.journalWebOfScienceCategory | Computer Science, Software Engineering | - |
dc.subject.keywordAuthor | dynamic curve | - |
dc.subject.keywordAuthor | B-spline | - |
dc.subject.keywordAuthor | polynomial | - |
dc.subject.keywordAuthor | power form | - |
dc.subject.keywordAuthor | basis conversion | - |
dc.subject.keywordAuthor | Taylor expansion | - |
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