从投影图重建二次曲面

Reconstructing Quadratic Surfaces From Orthographic Projections

首次定义了二次曲面截交线——位于三维空间的二次曲线的坐标概念，建立了截交线与其投影曲线坐标之间的约束关系，给出了从二次曲面正投影的轮廓线及截交线的投影重建二次曲面和截平面的计算公式，据此建立了从轮廓线和截交线投影重建二次曲面体的方法。

In this paper, the definition of coordinates of a quadratic surface, a conic curve,and the intersecting curve of the quadratic surface with a plane are given. The constraints between the coordinates of the intersecting curve and its projection are established. The quadratic surface, the intersecting plane, and the intersectintg curve are obtained from two orthographic projective images.