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APPROXIMATE IMPLICITIZATION BASED ON RBF NETWORKS AND MQ QUASI-INTERPOLATION
  • ISSN号：0254-9409
  • 期刊名称：《计算数学：英文版》
  • 时间：0
  • 分类：O241.5[理学—计算数学;理学—数学]
  • 作者机构：[1]Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （No.10271022, No.60373093 and No,60533060）.We are very grateful to the referees for their careful reading of the original manuscript and many valuable suggestions, which greatly improved the presentation of this paper.
作者： Renhong Wang Jinming Wu[1]
关键词： 数值分析, 数值逼近, 柔性, 近似计算, RBF networks MQ quasi-interpolation Approximate implicitization, Rationalcurves,
中文摘要：

在这篇论文，我们建议一条新途径基于 RBF 网络和 MQ 伪插值解决近似 implicitization 问题。这条途径拥有优点塑造保存、更好的光滑，好近似行为并且相对更少的数据等等。几个数字例子被提供表明建议方法的有效性和灵活性。

英文摘要：

In this paper, we propose a new approach to solve the approximate implicitization problem based on RBF networks and MQ quasi-interpolation. This approach possesses the advantages of shape preserving, better smoothness, good approximation behavior and relatively less data etc. Several numerical examples are provided to demonstrate the effectiveness and flexibility of the proposed method.

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期刊信息
  • 《计算数学：英文版》
  • 主管单位:
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：
  • 地址：北京2719信箱
  • 邮编：100080
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  • 国际标准刊号：ISSN：0254-9409
  • 国内统一刊号：ISSN：11-2126/O1
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  • 获奖情况:
  • 中国期刊方阵“双效”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,荷兰文摘与引文数据库,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库
  • 被引量:193