{"title":"Interpolation of Surfaces with Asymptotic Curves in Euclidean 3-Space","authors":"Mustafa Altın, .Inan Unal, F. Mofarreh","doi":"10.18576/amis/150416","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the interpolation of surfaces which are obtained from an isoasymptotic curve in 3D-Euclidean space. We prove that there exist a unique C 0 -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.","PeriodicalId":49266,"journal":{"name":"Applied Mathematics & Information Sciences","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics & Information Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18576/amis/150416","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
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Abstract
In this paper, we investigate the interpolation of surfaces which are obtained from an isoasymptotic curve in 3D-Euclidean space. We prove that there exist a unique C 0 -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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