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.