Abstract: In this paper a new method for conics based stereo vision was proposed. By using the new method for the detection of general quadric curves proposed by the authors, we investigated the global solutions of planar quadric curves and quadratic surfaces in the space and proposed a unified representation and solving algorithm. The main results about the multi-solutions are as follows: (1) if there exists solution of planar quadric curves then there exists solution of quadratic surfaces; (2) if and only if there are three views then there exists only one solution.

Key words: computer vision, stereo vision, Hough transform, planar quadric curve, quadratic surface

摘要： 提出一种基于二次曲线的立体视觉统一方法。利用所提出的一般二次曲线的检测方法，对空间中平面二次曲线和二次曲面的整体恢复，提出了一种统一的表示和求解算法，并给出多解存在的条件，同时指出如存在平面二次曲线解，则存在二次曲面解；在无先验假设的条件下，基于二次曲线的立体视觉方法需要3个视点才可得到唯一解。

关键词: 计算机视觉, 立体视觉, Hough变换, 平面二次曲线, 二次曲面