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Existence and computation of spherical rational quartic curves for Hermite interpolation

被引：9
|
作者：
Wang, WP [1 ]
Qin, KH
机构：
[1] Univ Hong Kong, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China
[2] Tsinghua Univ, Dept Comp Sci & Technol, Beijing 100084, Peoples R China
来源：
VISUAL COMPUTER | 2000年 / 16卷 / 3-4期
关键词：
spherical rational guartic curves; Hermite interpolation; stereographic projection;
D O I：
10.1007/s003710050207
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We study the existence and computation of spherical rational quartic curves that interpolate Hermite data on a sphere, i.e. two distinct endpoints and tangent vectors at the two points. It is shown that spherical rational quartic curves interpolating such data always exist, and that the family of these curves has n degrees of freedom for any given Hermite data on S-n, n greater than or equal to 2. A method is presented for generating all spherical rational quartic curves on S-n interpolating given Hermite data.
引用
收藏
页码：187 / 196
页数：10
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