DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Hong-Oh | ko |
dc.contributor.author | Moon, SY | ko |
dc.date.accessioned | 2013-03-02T12:54:48Z | - |
dc.date.available | 2013-03-02T12:54:48Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1997 | - |
dc.identifier.citation | COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.33, no.5, pp.67 - 77 | - |
dc.identifier.issn | 0898-1221 | - |
dc.identifier.uri | http://hdl.handle.net/10203/73614 | - |
dc.description.abstract | We consider the one-degree reduction problem with endpoint interpolation in the L(1)-norm. We obtain the best one-degree reduction of Bezier curve of the degree n less than or equal to 5 with endpoint interpolation by using perfect splines. For the general degree n, we propose a 'good' one-degree reduction by use of an appropriate transform of the Tchebycheff polynomials U-n(x) of the second kind of degree n. By use of the good one-degree reduction, subdivision algorithm is given to get one-degree reduced Bezier curve within a given tolerance E. Some numerical experiments are also given. | - |
dc.language | English | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.subject | L1-APPROXIMATION | - |
dc.subject | APPROXIMATION | - |
dc.subject | POLYNOMIALS | - |
dc.title | Degree reduction of Bezier curves by L(1)-approximation with endpoint interpolation | - |
dc.type | Article | - |
dc.identifier.wosid | A1997WT19300007 | - |
dc.identifier.scopusid | 2-s2.0-0031084082 | - |
dc.type.rims | ART | - |
dc.citation.volume | 33 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 67 | - |
dc.citation.endingpage | 77 | - |
dc.citation.publicationname | COMPUTERS & MATHEMATICS WITH APPLICATIONS | - |
dc.identifier.doi | 10.1016/S0898-1221(97)00020-5 | - |
dc.contributor.localauthor | Kim, Hong-Oh | - |
dc.contributor.nonIdAuthor | Moon, SY | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | degree reduction | - |
dc.subject.keywordAuthor | Bezier curve | - |
dc.subject.keywordAuthor | Tchebycheff polynomials of second kind | - |
dc.subject.keywordAuthor | L(1)-approximation | - |
dc.subject.keywordAuthor | perfect splines | - |
dc.subject.keywordPlus | L1-APPROXIMATION | - |
dc.subject.keywordPlus | APPROXIMATION | - |
dc.subject.keywordPlus | POLYNOMIALS | - |
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