Up to an orientation-preserving symmetry, photographic images are produced by a central projection of a restricted area in the space into the image plane. To obtain reliable information about physical objects and the environment through the process of recording is the basic problem of photogrammetry. We present a reconstruction process based on distances from the center of projection and incidence relations among the points to be projected. For any triplet of collinear points in the space, we construct a surface of revolution containing the center of the projection. It is a generalized conic that can be represented as an algebraic surface. The rotational symmetry allows us to restrict the investigations to the defining polynomial of the profile curve in the image plane. An equivalent condition for the boundedness is given in terms of the input parameters, and it is shown that the defining polynomial of the profile curve is irreducible.

直到保持方向的对称性为止，摄影图像都是由空间中的受限区域向图像平面的中央投影产生的。通过记录过程获得有关物理对象和环境的可靠信息是摄影测量的基本问题。我们提出了一个基于距投影中心的距离和要投影的点之间的入射关系的重建过程。对于空间中任何共线点的三元组，我们构建一个包含投影中心的旋转表面。它是广义的圆锥，可以表示为代数曲面。旋转对称性使我们能够将研究限制在像平面中轮廓曲线的定义多项式上。