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Trigonometric generalized T-splines

机译:三角广义T样条

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摘要

The paper's main aim consists of extending the T-spline approach to trigonometric generalized B-splines, a particularly relevant case of non-polynomial splines. Such goal can be achieved by a careful revision of some results concerning the basic properties of the trigonometric generalized B-splines and by a formalization of the concept of T-splines in the trigonometric setting. Moreover, fundamental for the use of this new tool is the study of the noteworthy case with constant frequencies and of the linear independence of the corresponding blending functions, which can be proved to be strongly linked to the linear independence of the polynomial blending functions associated to the same T-mesh.
机译:本文的主要目的是将T样条方法扩展到三角广义B样条,这是非多项式样条的一种特别相关的情况。可以通过仔细修改一些有关三角广义B样条曲线基本特性的结果并通过对三角学中T样条曲线的概念进行形式化来实现此目标。此外,使用此新工具的基础是对具有恒定频率的值得注意的情况以及相应混合函数的线性独立性的研究,这可以证明与关联到多项式混合函数的线性独立性紧密相关相同的T型网

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  • 作者单位

    Department of Naval Architecture & Ocean Engineering, Seoul National University, 1, Cwanak-ro, Cwanak-gu, Seoul 151-744, South Korea,Department of Mathematics, University of Turin, v. Carlo Alberto 10, 10123 Torino, Italy;

    Department of Naval Architecture & Ocean Engineering, Seoul National University, 1, Cwanak-ro, Cwanak-gu, Seoul 151-744, South Korea;

    Department of Mathematics, Dongguk University, Pil-dong 3-ga, Jung-gu, Seoul 100-715, South Korea;

    Department of Naval Architecture & Ocean Engineering, Seoul National University, 1, Cwanak-ro, Cwanak-gu, Seoul 151-744, South Korea;

    Department of Naval Architecture & Ocean Engineering, Seoul National University, 1, Cwanak-ro, Cwanak-gu, Seoul 151-744, South Korea;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    T-spline; T-mesh; GB-spline; Analysis-suitable; Linear independence; Isogeometric analysis;

    机译:T样条T网GB样条;分析适合;线性独立性;等几何分析;

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