Schweighofer Gerald, Pinz Axel
Institute of Electrical Measurement and Measurement Signal Processing, Graz University of Technology, Kopernikusgasse, Graz, Austria.
IEEE Trans Pattern Anal Mach Intell. 2006 Dec;28(12):2024-30. doi: 10.1109/TPAMI.2006.252.
In theory, the pose of a calibrated camera can be uniquely determined from a minimum of four coplanar but noncollinear points. In practice, there are many applications of camera pose tracking from planar targets and there is also a number of recent pose estimation algorithms which perform this task in real-time, but all of these algorithms suffer from pose ambiguities. This paper investigates the pose ambiguity for planar targets viewed by a perspective camera. We show that pose ambiguities--two distinct local minima of the according error function--exist even for cases with wide angle lenses and close range targets. We give a comprehensive interpretation of the two minima and derive an analytical solution that locates the second minimum. Based on this solution, we develop a new algorithm for unique and robust pose estimation from a planar target. In the experimental evaluation, this algorithm outperforms four state-of-the-art pose estimation algorithms.
理论上,校准相机的姿态可以由至少四个共面但不共线的点唯一确定。实际上,有许多从平面目标进行相机姿态跟踪的应用,并且最近也有一些实时执行此任务的姿态估计算法,但所有这些算法都存在姿态模糊性问题。本文研究了透视相机观察平面目标时的姿态模糊性。我们表明,即使在广角镜头和近距离目标的情况下,姿态模糊性——相应误差函数的两个不同局部最小值——也是存在的。我们对这两个最小值进行了全面解释,并推导了一个定位第二个最小值的解析解。基于此解,我们开发了一种用于从平面目标进行唯一且稳健的姿态估计的新算法。在实验评估中,该算法优于四种最新的姿态估计算法。