利用二次曲线束求解二次曲线的计算方法研究

Computational Method of Conic Curve Using Pencil of Conic Curves

利用二次曲线进行物体识别、场景重建及运动分析是计算机视觉中非常活跃的一个研究领域。传统的方法是通过二次曲线上的多个点或多条直线求解二次曲线。但在实际应用中,有时既检测曲线上的点,又检测曲线上的直线,因此必须建立一个统一的二次曲线算法。为此,提出了二次曲线束基的概念,给出了不同条件下利用二次曲线束求解二次曲线的具体计算方法。实验表明算法实用和可靠。

The object recognition, scene reconstruction and motion analysis using conic curves are the most hot research project in computer vision. The conventional computational method is to use several points or lines on conic curves. But in practice both of the points and lines on conic curves may be detected in computational processes, so the uniform computational method of conic curves must be established concerning with points and lines. The concept of base of pencil of conic curves is proposed, and the computational method of conic curves is presented for different conditions. The experiment results show that the algorithm is reliable.