基于五阶各向同性Bezier曲线的最小曲面建模

IF 0.5 Q4 PHYSICS, MATHEMATICAL

Journal of Geometry and Symmetry in Physics Pub Date : 2019-01-01 DOI:10.7546/JGSP-52-2019-1-15

N. Ausheva, V. Olevskyi, Yu. B. Olevska

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引用次数: 4

摘要

提出了一种基于五阶Bezier各向同性曲线构造最小曲面的方法，该方法以矢量参数形式指定，允许在用户模式下控制导向曲线和曲面。对基本二次型的系数进行了计算，结果表明曲面是最小的。最后给出了用该方法构造曲面的一个实例。

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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Modeling of Minimal Surface Based on an Isotropic Bezier Curve of Fifth Order

A method is proposed for constructing minimal surfaces based on fifth-order Bezier isotropic curves specified in a vector-parametric form, allowing control of the guide curve and the surface in user mode. The coefficients of the basic quadratic forms were calculated and it was shown that the surfaces would be minimal. An example of a surface constructed by the proposed method is given.

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来源期刊

Journal of Geometry and Symmetry in Physics PHYSICS, MATHEMATICAL-

CiteScore

1.50

自引率

25.00%

发文量

期刊介绍： The Journal of Geometry and Symmetry in Physics is a fully-refereed, independent international journal. It aims to facilitate the rapid dissemination, at low cost, of original research articles reporting interesting and potentially important ideas, and invited review articles providing background, perspectives, and useful sources of reference material. In addition to such contributions, the journal welcomes extended versions of talks in the area of geometry of classical and quantum systems delivered at the annual conferences on Geometry, Integrability and Quantization in Bulgaria. An overall idea is to provide a forum for an exchange of information, ideas and inspiration and further development of the international collaboration. The potential authors are kindly invited to submit their papers for consideraion in this Journal either to one of the Associate Editors listed below or to someone of the Editors of the Proceedings series whose expertise covers the research topic, and with whom the author can communicate effectively, or directly to the JGSP Editorial Office at the address given below. More details regarding submission of papers can be found by clicking on "Notes for Authors" button above. The publication program foresees four quarterly issues per year of approximately 128 pages each.