带插值约束的光顺Bézier曲线拟合

Fairing Bézier curves fitting of fulfilling interpretation condition

根据给定的数据点产生一条光顺的曲线或曲面是计算机辅助几何设计中重要的研究任务之一,研究了一种基于最小二乘意义下,且满足插值条件的光顺Bézier曲线拟合法,通过求解一个带线性约束的优化问题而求出控制顶点和光顺Bézier拟合曲线,仿真结果表明曲线的光顺与拟合效果较好。

Producing a fairing curve from given data is an important task of computer aided geometry design.In this paper,a fairing Bézier curves fitting method based on least square algorithm and inserting value condition is presented.The control vertexes and fairing Bézier fitting curves are abtained by soluting an optimizition question that having linear restriction.The simulation result shows that the fairing and fitting effect is satisfactory.