Deformation of surfaces along curves and their applications

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-02 DOI:10.1007/s40314-024-02857-6

Dae Won Yoon, Hyun Chol Lee

引用次数: 0

Abstract

The connections between parameter surfaces enable the development of various geometric designs. However, these surfaces are generally connected along their boundaries in a rectangular domain. This study investigated the methods for connecting surfaces along a curve. To this end, we introduced two-variable degenerate functions and utilized their algebraic properties to characterize the form of the parameter surfaces for practical surface construction. The results were used to deform the surfaces along the curve. For application, we presented the examples of deformations using Bézier surfaces and extended them to general surfaces.

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曲面沿曲线变形及其应用

通过参数曲面之间的连接，可以进行各种几何设计。然而，这些曲面通常是沿着矩形域中的边界连接的。本研究探讨了沿曲线连接曲面的方法。为此，我们引入了双变量退化函数，并利用其代数特性来表征参数曲面的形式，从而构建出实用的曲面。结果被用于沿曲线变形曲面。在应用方面，我们介绍了使用贝塞尔曲面进行变形的示例，并将其扩展到一般曲面。

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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来源期刊

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.