In this paper, we propose the first minimal solutions for estimating the
semi-generalized homography given a perspective and a generalized camera. The
proposed solvers use five 2D-2D image point correspondences induced by a scene
plane. One of them assumes the perspective camera to be fully calibrated, while
the other solver estimates the unknown focal length together with the absolute
pose parameters. This setup is particularly important in structure-from-motion
and image-based localization pipelines, where a new camera is localized in each
step with respect to a set of known cameras and 2D-3D correspondences might not
be available. As a consequence of a clever parametrization and the elimination
ideal method, our approach only needs to solve a univariate polynomial of
degree five or three. The proposed solvers are stable and efficient as
demonstrated by a number of synthetic and real-world experiments.

该论文提出了从场景平面引出的五个二维 - 二维图像点对应所能获得的对于半广义单应性的第一种最小解决方案。其中一个解决器假设透视相机完全校准，而另一个解决器则估计未知的焦距和绝对姿态参数。