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arXiv 1503.06995cs.GRcs.NAmath.NA
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在曲线和两条导线之间插值一个样条展开曲面

Interpolation of a spline developable surface between a curve and two rulings

A. Cantón, L. Fernández-Jambrina

AI总结:

本文研究了在给定样条曲线和展开曲面首尾导线之间插值样条展开曲面的问题,通过导线度提升技术实现端点自由选择。

摘要:

本文针对在给定样条曲线和展开曲面首尾导线之间插值样条展开曲面的问题进行研究。为完成曲面边界需提供第二条样条曲线。以往方法无法实现导线端点自由选择,本文通过导线度提升技术解决此问题,并可用于三角形展开曲面的其他问题。

英文摘要:

In this paper we address the problem of interpolating a spline developable patch bounded by a given spline curve and the first and the last rulings of the developable surface. In order to complete the boundary of the patch a second spline curve is to be given. Up to now this interpolation problem could be solved, but without the possibility of choosing both endpoints for the rulings. We circumvent such difficulty here by resorting to degree elevation of the developable surface. This is useful not only to solve this problem, but also other problems dealing with triangular developable patches.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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