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一对Bézier曲线基于控制顶点优化的显式G2约束拼接

DOI: 10.3724/SP.J.1004.2014.01505, PP. 1505-1508

Keywords: ,zier曲线,拼接,l2距离,G2连续,优化

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Abstract:

?针对一对Bézier曲线的G2约束拼接,提出了通过最小化l2距离的一种简单且显式方法。将l2距离表示成具有两个参数的二次函数,最优的拼接曲线以优化控制顶点使得l2距离最小的方式得到。通过证明l2距离是凸的,说明了唯一解的存在性。由于该方法是非迭代的并且表示为已知的控制顶点,所以是显式和高效的。实例表明新方法的有效性。

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