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两相邻CEBézier曲线的近似合并

DOI: 10.13190/jbupt.201006.76.hug, PP. 76-80

Keywords: 三次扩展Bé,zier曲线,形状参数,近似合并,曲线拟合,广义逆矩阵

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Abstract:

为了进一步丰富和发展CEBézier曲线的相关理论,针对该曲线的近似合并问题,提出了一种将两相邻CEBézier曲线合并成1条CEBézier曲线的方法.该方法通过将曲线拟合方法与广义逆矩阵理论相结合,直接得到合并后CEBézier曲线控制顶点的显示表达式,同时给出了具体的合并误差.实验结果表明,新方法不仅可获得较好的合并效果,而且具有易于实现、误差计算简单的特点,可广泛应用于计算机辅助设计中对曲线的近似合并.

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