摘要
在CAGD中,常遇到有理Bézier样条曲线、曲面的光滑拼接问题,但目前却鲜见有关有理Bézier样条曲线、曲面光滑拼接问题的讨论。文章根据有理Bézier样条曲线理论研究了2条三次有理Bézier样条曲线间的G2光滑拼接的充要条件,从而解决了CAGD中用组合曲线表示复杂曲线的光滑拼接问题。
The continuity of assembling rational Bézier spline curves or Bézier spline surfaces is often encountered in computer aided geometric design（CAGD）. In this paper, the necessary and sufficient condition of G^2 continuity between two cubic rational Bézier spline curves is studied according to the theory of rational Bézier spline curves, and the geometric continuity problem in CAGD, where a complex curve is expressed with composite curves, is solved.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第3期397-399,共3页
Journal of Hefei University of Technology：Natural Science
关键词
有理Bézier样条曲线
曲率连续
G^2光滑
充要条件
rational B6zier spline
curvature continuity
G2 continuity
necessary and sufficient condition
