Abstract: The interpretation of conic by use of points and lines correspondence on the conic or use of the conic optical flows is more complicated, because it must find the optimum solution of multivariant equations. The space conic is represented as the complete intersection of a quadric surface and a plane, and two independent polynomial conditions for a corresponding pair of conics are presented in this paper. The polynomial conditions are inferred by use of the base curve. On the basis of study, the computational methods and the computational procedure of the projective reconstruction of a space conic are derived. The results of example show that the algorithms are more utility and reliable than traditional algorithms.

Key words: computer application, space conic, base curve, quadric surface