Interpolation Of Surfaces With Asymptotic Curves In Euclidean 3-Space

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Özet

In this paper, we investigate the interpolation of surfaces which are obtained from an isoasymptotic curve in 3D-Euclidean space. We prove that there exists a unique C0-Hermite surface interpolation related to an isoasymptotic curve under some special conditions on the marching scale functions. Finally, we present some examples and plot their graphs.

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https://rdlopen.rawdatalibrary.net/r/munzur/2945Resmi atıflarda kullanılan kalıcı adres
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https://doi.org/10.18576/amis/150416Yayıncı resmi DOI adresi
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AlanDeğerDil
dc.contributor.authorAltın, Mustafa
dc.contributor.authorÜna, İnan
dc.contributor.authorMofarreh, Fatemah
dc.date.accessioned2026-10-28T14:56:00.918780976Z
dc.date.available2026-10-28T14:56:00.918780976Z
dc.date.issued2021
dc.description.abstractIn this paper, we investigate the interpolation of surfaces which are obtained from an isoasymptotic curve in 3D-Euclidean space. We prove that there exists a unique C0-Hermite surface interpolation related to an isoasymptotic curve under some special conditions on the marching scale functions. Finally, we present some examples and plot their graphs.
dc.description.sponsorshipDeanship of Scientific Research at Princess Nourah bint Abdulrahman University
dc.identifier.doi10.18576/amis/150416
dc.identifier.endpage538
dc.identifier.issn1935-0090
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85112630292
dc.identifier.startpage533
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/munzur/2945
dc.identifier.volume15
dc.language.isoen
dc.publisherNatural Sciences Publishing
dc.relation.ispartofApplied Mathematics and Information Sciences
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectInterpolation of surfaces
dc.subjectIsoasymptotic curve
dc.titleInterpolation Of Surfaces With Asymptotic Curves In Euclidean 3-Space
dc.typeArticle
rdl.citation.openalex0
rdl.citation.scopus0
rdl.oa.statusgreen
rdl.oa.urlhttps://arxiv.org/pdf/2103.02419
rdl.scopus.quartileQ4
rdl.source.indexSCOPUS