双三次调和Bézier曲面间的连续性条件
he continuity condition for bicubic harmonic Bézier surfaces
本文主要研究了两双三次调和Bézier曲面C1连续时,其控制顶点之间的关系。结果表明当两双三次调和Bézier曲面在公共边界上C1连续时,两双三次调和Bézier曲面片来自于同一张曲面。进而可得,当两双三次调和Bézier曲面在公共边界上Cr连续时,两双三次调和Bézier曲面片亦来自于同一张曲面。
his paper mainly studies the relationship between control points when the two correspongding bicubic harmonic Bézier surfaces are C1 continuous. The results show that when the two bicubic harmonic Bézier surfaces are C1 continuous at the common boundary, the two bicubic harmonic Bézier surface patches are from the same piece of surface. Moreover, when the Cr continuity condition are satified at the common boundary for the two bicubic harmonic Bézier surfaces, it implys that the two bicubic harmonic Bézier surface patches are also derived from the same piece of surface.
倪倩、王旭辉
数学
计算数学双三次调和Bézier曲面连续性条件控制点
omputational mathematicsbicubic harmonic Bézier surfacescontinuity conditioncontrol points
倪倩,王旭辉.双三次调和Bézier曲面间的连续性条件[EB/OL].(2013-11-20)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/201311-370.点此复制
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