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C-1 HERMITE INTERPOLATION WITH MPH CURVES USING PH-MPH TRANSITIVE MAPPINGS

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dc.contributor.authorKim, Gwangil-
dc.contributor.authorKong, Jae Noon-
dc.contributor.authorLee, Hyun Chol-
dc.date.accessioned2022-12-26T15:01:38Z-
dc.date.available2022-12-26T15:01:38Z-
dc.date.issued2019-05-
dc.identifier.issn0304-9914-
dc.identifier.issn2234-3008-
dc.identifier.urihttps://scholarworks.gnu.ac.kr/handle/sw.gnu/9203-
dc.description.abstractWe 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.extent19-
dc.language영어-
dc.language.isoENG-
dc.publisher대한수학회-
dc.titleC-1 HERMITE INTERPOLATION WITH MPH CURVES USING PH-MPH TRANSITIVE MAPPINGS-
dc.typeArticle-
dc.publisher.location대한민국-
dc.identifier.doi10.4134/JKMS.j180433-
dc.identifier.scopusid2-s2.0-85069430698-
dc.identifier.wosid000466041600013-
dc.identifier.bibliographicCitation대한수학회지, v.56, no.3, pp 805 - 823-
dc.citation.title대한수학회지-
dc.citation.volume56-
dc.citation.number3-
dc.citation.startPage805-
dc.citation.endPage823-
dc.type.docTypeArticle-
dc.identifier.kciidART002460528-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.description.journalRegisteredClasskci-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusSHAPE-PRESERVING INTERPOLATION-
dc.subject.keywordAuthorMinkowski Pythagorean-hodograph curve-
dc.subject.keywordAuthorPH-MPH transitive mapping-
dc.subject.keywordAuthorMPH-preserving mapping-
dc.subject.keywordAuthorC-1 Hermite data-set-
dc.subject.keywordAuthorC-1 Hermite interpolation-
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