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C-1 HERMITE INTERPOLATION WITH MPH CURVES USING PH-MPH TRANSITIVE MAPPINGS
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kim, Gwangil | - |
| dc.contributor.author | Kong, Jae Noon | - |
| dc.contributor.author | Lee, Hyun Chol | - |
| dc.date.accessioned | 2022-12-26T15:01:38Z | - |
| dc.date.available | 2022-12-26T15:01:38Z | - |
| dc.date.issued | 2019-05 | - |
| dc.identifier.issn | 0304-9914 | - |
| dc.identifier.issn | 2234-3008 | - |
| dc.identifier.uri | https://scholarworks.gnu.ac.kr/handle/sw.gnu/9203 | - |
| dc.description.abstract | We introduce polynomial PH-MPH transitive mappings which transform planar PH curves to MPH curves in R-2,R-1, and prove that parameterizations of Enneper surfaces of the 1st and the 2nd kind and conjugates of Enneper surfaces of the 2nd kind are PH-MPH transitive. We show how to solve C-1 Hermite interpolation problems in R-2,R-1, for an admissible C-1 Hermite data-set, by using the parametrization of Enneper surfaces of the 1st kind. We also show that we can obtain interpolants for at least some inadmissible data-sets by using MPH biarcs on Enneper surfaces of the 1st kind. | - |
| dc.format.extent | 19 | - |
| dc.language | 영어 | - |
| dc.language.iso | ENG | - |
| dc.publisher | 대한수학회 | - |
| dc.title | C-1 HERMITE INTERPOLATION WITH MPH CURVES USING PH-MPH TRANSITIVE MAPPINGS | - |
| dc.type | Article | - |
| dc.publisher.location | 대한민국 | - |
| dc.identifier.doi | 10.4134/JKMS.j180433 | - |
| dc.identifier.scopusid | 2-s2.0-85069430698 | - |
| dc.identifier.wosid | 000466041600013 | - |
| dc.identifier.bibliographicCitation | 대한수학회지, v.56, no.3, pp 805 - 823 | - |
| dc.citation.title | 대한수학회지 | - |
| dc.citation.volume | 56 | - |
| dc.citation.number | 3 | - |
| dc.citation.startPage | 805 | - |
| dc.citation.endPage | 823 | - |
| dc.type.docType | Article | - |
| dc.identifier.kciid | ART002460528 | - |
| dc.description.isOpenAccess | N | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.description.journalRegisteredClass | kci | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordPlus | SHAPE-PRESERVING INTERPOLATION | - |
| dc.subject.keywordAuthor | Minkowski Pythagorean-hodograph curve | - |
| dc.subject.keywordAuthor | PH-MPH transitive mapping | - |
| dc.subject.keywordAuthor | MPH-preserving mapping | - |
| dc.subject.keywordAuthor | C-1 Hermite data-set | - |
| dc.subject.keywordAuthor | C-1 Hermite interpolation | - |
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