任意阶贝塞尔智能曲面

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2024-09-04 DOI:10.1016/j.cam.2024.116253

A. Arnal , J. Monterde

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引用次数: 0

摘要

张量积贝塞尔-斯马特曲面的控制网具有任意度的特点。此外，我们还证明了对于任何一对具有相同中点的贝塞尔曲线，总是存在一个具有这些对角曲线的贝塞尔-斯马特曲面族。我们给出了一种方法，从用户指定的不同信息集（如对角线曲线或边界数据）出发生成 BS 曲面。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bézier-Smart surfaces of arbitrary degree

The control net of tensor product Bézier-Smart surfaces of arbitrary degree is characterized. Moreover, it is shown that for any given pair of Bézier curves with the same midpoint there always exists a family of Bézier-Smart surfaces with these diagonal curves. We give a method to generate BS-surfaces starting from different sets of user prescribed information, such as diagonal curves or boundary data.

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.