{"title":"A NEW FIVE-POINT BINARY SUBDIVISION SCHEME WITH A PARAMETER","authors":"Yan Wang, Zhiming Li","doi":"10.18642/JMSAA_7100121984","DOIUrl":null,"url":null,"abstract":"A new five-point binary subdivision scheme with a parameter is proposed. By choice of appropriate parameters, some existing subdivision schemes such as the four-point binary interpolating scheme, the quartic B-spline scheme, and a class of five-point binary approximating scheme can be obtained. It is shown that the resulting curves are 2 C continuous for the certain range of the parameter. YAN WANG and ZHIMING LI 82","PeriodicalId":444144,"journal":{"name":"Journal of Pure and Applied Mathematics: Advances and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Mathematics: Advances and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18642/JMSAA_7100121984","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A new five-point binary subdivision scheme with a parameter is proposed. By choice of appropriate parameters, some existing subdivision schemes such as the four-point binary interpolating scheme, the quartic B-spline scheme, and a class of five-point binary approximating scheme can be obtained. It is shown that the resulting curves are 2 C continuous for the certain range of the parameter. YAN WANG and ZHIMING LI 82
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