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给定两端点及端点处切方向和曲率的空间Bezier曲线的插值问题 被引量:9

SPACE CURVE INTERPOLATION OF GIVEN END POINTS TANGENT DIRECTIONS AND CURVATURES
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摘要 We construct a space cubic Bener curve for given two end points, tangent directions and curvatures. The result is such curves exist but not unique. The effect which computational error has on the Bener curves is considered and we point out that the interpolant is 4-th order accurate. We also consider how to select a better curve in some sense from the obtained Bener curves. We construct a space cubic Bener curve for given two end points, tangent directions and curvatures. The result is such curves exist but not unique. The effect which computational error has on the Bener curves is considered and we point out that the interpolant is 4-th order accurate. We also consider how to select a better curve in some sense from the obtained Bener curves.
出处 《数值计算与计算机应用》 CSCD 北大核心 2001年第2期81-86,共6页 Journal on Numerical Methods and Computer Applications
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  • 1吴宗敏 黄毅.参数有理三次GC^2Hermite插值[J].高等学校计算数学学报(计算几何专集),1993,:98-103.
  • 2施法中,计算机辅助几何设计与非均匀有理B样条,1994年
  • 3吴宗敏,高等学校计算数学学报,1993年

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