Curvatures of the quadratic rational Bezier curves
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kim, Hong Oh | ko |
| dc.date.accessioned | 2013-02-27T21:32:08Z | - |
| dc.date.available | 2013-02-27T21:32:08Z | - |
| dc.date.created | 2012-02-06 | - |
| dc.date.created | 2012-02-06 | - |
| dc.date.issued | 1998 | - |
| dc.identifier.citation | COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.36, no.9, pp.71 - 83 | - |
| dc.identifier.issn | 0898-1221 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/70965 | - |
| dc.description.abstract | We find necessary and sufficient conditions for the curvature of a quadratic rational Bezier curve to be monotone in [0, 1], to have a unique local minimum, to have a unique local maximum, and to have both extrema in (0, 1), and we also visualize them in figures. As an application, we present a necessary and sufficient condition for the offset curve to be regular and to have the same tangent direction with the given quadratic rational Bezier curve, and give a simple algorithm to find it. (C) 1998 Elsevier Science Ltd. All rights reserved. | - |
| dc.language | English | - |
| dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
| dc.subject | APPROXIMATION | - |
| dc.subject | SPLINES | - |
| dc.title | Curvatures of the quadratic rational Bezier curves | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000076873600006 | - |
| dc.identifier.scopusid | 2-s2.0-0032205257 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 36 | - |
| dc.citation.issue | 9 | - |
| dc.citation.beginningpage | 71 | - |
| dc.citation.endingpage | 83 | - |
| dc.citation.publicationname | COMPUTERS & MATHEMATICS WITH APPLICATIONS | - |
| dc.identifier.doi | 10.1016/S0898-1221(98)00193-X | - |
| dc.contributor.localauthor | Kim, Hong Oh | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordAuthor | quadratic rational Bezier curves | - |
| dc.subject.keywordAuthor | monotone curvature | - |
| dc.subject.keywordAuthor | local extrema of curvature | - |
| dc.subject.keywordAuthor | fairing curves | - |
| dc.subject.keywordAuthor | offset curves | - |
| dc.subject.keywordPlus | APPROXIMATION | - |
| dc.subject.keywordPlus | SPLINES | - |
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