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二元线性样条函数插值
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O241.3[理学—计算数学;理学—数学] TP391[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
  • 作者机构：[1]大连理工大学应用数学系,辽宁大连116024
  • 相关基金：国家自然科学基金资助项目（10271022;60373093;60533060）;辽宁省教育厅科学研究计划项目（2005085）
作者： 朱春钢[1]
关键词： 二元线性样条, 分片代数曲线, 插值, Bivariate linear splines, Piecewise algebraic curves , Interpolation
中文摘要：

二元样条函数插值在计算几何与计算机辅助几何设计中有着重要的作用。本文给出了一种矩形剖分上二元线性样条函数进行Lagrange插值时插值适定结点组所满足的拓扑与几何性质，这种性质依赖于二元线性样条函数所决定的分片线性代数曲线。

英文摘要：

Interpolation by bivariate splines is important for computational geometry and computer aided geometric design. In this paper,we give a characterization of Lagrange interpolation sets for the spaces of continuous bivariate linear s characterization is based on a complete description of the zero plines on rectangulations. The sets of such splines.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4139