{"title":"An advanced variant of an interpolatory graphical display algorithm","authors":"G. Ala, E. Francomano, A. Tortorici, E. Toscano, F. Viola","doi":"10.1002/anac.200310009","DOIUrl":null,"url":null,"abstract":"<p>In this paper an advanced interpolatory graphical display algorithm based on cardinal B-spline functions is provided. It is well-known that B-spline functions are a flexible tool to design various scale rapresentations of a signal. The proposed method allows to display without recursion a function at any desiderable resolution so that only initial data and opportune vectors weight are involved. In this way the structure of the algorithm is independent across the scale and a computational efficiency is reached. In this paper mono and bi-dimensional vectors weight generated by means of centered cubic cardinal B-spline functions have been supplied. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)</p>","PeriodicalId":100108,"journal":{"name":"Applied Numerical Analysis & Computational Mathematics","volume":"1 1","pages":"104-112"},"PeriodicalIF":0.0000,"publicationDate":"2004-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/anac.200310009","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Numerical Analysis & Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/anac.200310009","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
In this paper an advanced interpolatory graphical display algorithm based on cardinal B-spline functions is provided. It is well-known that B-spline functions are a flexible tool to design various scale rapresentations of a signal. The proposed method allows to display without recursion a function at any desiderable resolution so that only initial data and opportune vectors weight are involved. In this way the structure of the algorithm is independent across the scale and a computational efficiency is reached. In this paper mono and bi-dimensional vectors weight generated by means of centered cubic cardinal B-spline functions have been supplied. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
插值图形显示算法的高级变体
提出了一种基于基数b样条函数的插值图形显示算法。众所周知,b样条函数是一种灵活的工具,用于设计信号的各种尺度表示。所提出的方法允许不递归地以任何理想的分辨率显示函数,以便只涉及初始数据和适当的向量权重。这样,算法的结构在尺度上是独立的,达到了一定的计算效率。本文给出了由中心三次基数b样条函数生成的单、二维矢量权值。(©2004 WILEY-VCH Verlag GmbH &KGaA公司,Weinheim)
本文章由计算机程序翻译,如有差异,请以英文原文为准。