一种新的带参数的五点二进制细分方案

Journal of Pure and Applied Mathematics: Advances and Applications Pub Date : 2018-06-05 DOI:10.18642/JMSAA_7100121984

Yan Wang, Zhiming Li

{"title":"一种新的带参数的五点二进制细分方案","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":"{\"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}","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

摘要

提出了一种新的带参数五点二值细分方案。通过选择合适的参数，可以得到现有的四点二值插值格式、四次b样条格式和一类五点二值逼近格式等细分格式。结果表明，所得曲线在一定参数范围内连续2℃。王燕，李志明82

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A NEW FIVE-POINT BINARY SUBDIVISION SCHEME WITH A PARAMETER

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

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Pure and Applied Mathematics: Advances and Applications

自引率

0.00%

发文量