Study of the Point Element and Line Element Conic Curve Composite Algorithm

The projective theory of conic curve is one of the most important part in projective geometry. The object recognition, scene reconstruction and motion analysis through corresponding conic curves are hot research areas in the computer vision. The conventional algorithm of point element and line element conic curve is to use several points or lines on conic curve. But in practice both of the points and lines on conic curve may be detected in computational processes, so the composite algorithm of conic curve must be established concerning with points and lines. The different bases of conic curves pencil through the pair of conic curves and conic curves pencil are proposed from the perspective of computational processes in this paper if all points and lines on the image plane are represented in terms of N-vectors, and the N-vectors of point element and line element conic curve composite algorithm is presented in the different conditions on the basis of study. The results of examples show that the algorithm is more utility and reliable than traditional algorithm.