B-spline surface approximations of a six-sided PDE patch

J.M. Brown; M.I. G. Bloor; M.S. Bloor

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B-spline surface approximations of a six-sided PDE patch

机译：六面PDE贴片的B样条曲面近似

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摘要

A PDE surface is solution to a boundary value problem with an elliptic partial differential equation (PDE). Previous work has examined the method of producing B-sphline approximations to PDE surfaces that are either four-sided or periodic in form (in Eulidean three-space). In the computer- Aided design arena four-sided patches such as these are the most common type of surface patches as They are the easiest to deal with mathematically.

机译：PDE曲面是使用椭圆偏微分方程（PDE）求解边值问题的解决方案。先前的工作已经研究了生成四边形或周期形式（在Eulidean三空间中）的PDE表面的B样条近似的方法。在计算机辅助设计领域中，诸如此类的四面贴片是最常见的表面贴片类型，因为它们在数学上最容易处理。

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《Mathematical Engineering in Industry》 |1999年第2期|p.211-231|共21页
作者
J.M. Brown; M.I. G. Bloor; M.S. Bloor;
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中图分类工程基础科学;
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1. INTERACTIVE CONSTRUCTION OF B-SPLINE APPROXIMATIONS OF SURFACES AND A TESSELATION ALGORITHM FOR THE REPRESENTATION OF TRIMMED SURFACES FOR USE IN NUMERICAL GRID GENERATION [J] . Hamann B., Tsai PY., Jean BA. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第s1期

机译：曲面的B样条逼近的交互构造以及表示网格的数值化算法在网格生成中的应用
2. Interactive Construction of B-Spline Approximations of Surfaces and a Tes-selation Algorithm for the Representation of Trimmed Surfaces for Use in Numerical Grid Generation [J] . BERND HAMANN, BRIAN A. JEAN, PO-YU TSAI Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第S1期

机译：曲面的B样条逼近的交互式构造和用于修剪的曲面表示的Tes-selation算法用于数值网格生成
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4. Rational B-Spline and PDE Surfaces With Unstructured Grids for Aerospace-Vehicle Design [C] . A. M. Thomas, R. E. Smith, S. N. Tiwari AIAA 32nd Aerospace Sciences Meeting Exhibit January 10-13, 1994/Reno, NV . -1

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5. The least squares approximation of fixed-form and free-form B-spline surfaces and a smoothing technique using reflection. [D] . Yen, Steven Sheng-Chun. 1991

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7. Thermal Image Approximation Using B-Spline Surfaces [O] . Robert Świta, Zbigniew Suszyński 2018

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B-spline surface approximations of a six-sided PDE patch

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