欧氏3-空间中具有渐近曲线的曲面的插值

Q2 Mathematics Applied Mathematics & Information Sciences Pub Date : 2021-02-23 DOI:10.18576/amis/150416

Mustafa Altın, .Inan Unal, F. Mofarreh

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摘要

本文研究了在三维欧氏空间中由等渐近曲线得到的曲面的插值问题。我们证明了在行进尺度函数的某些特殊条件下，存在一个与等渐近曲线相关的唯一的C0-Hermite曲面插值。最后，我们给出了一些例子并绘制了它们的图形。

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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Interpolation of Surfaces with Asymptotic Curves in Euclidean 3-Space

In this paper, we investigate the interpolation of surfaces which are obtained from an isoasymptotic curve in 3D-Euclidean space. We prove that there exist a unique C 0 -Hermite surface interpolation related to an isoasymptotic curve under some special conditions on the marching scale functions. Finally, we present some examples and plot their graphs.

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