摘要:
引入了一种新的对无穷远平面的单应性矩阵(The infinite homography)的约束方程并
据此提出了一种新的摄象机线性自标定算法.与文献中已有的方法相比,该方法对摄象机的运
动要求不苛刻(如不要求摄象机的运动为正交运动),只须摄象机作一次平移运动和两次任意刚
体运动,就可线性唯一确定内参数.该方法主要优点在于:在确定无穷远平面的单应性矩阵的过
程中,不需要射影重构,也不需要有限远平面信息,唯一所需要的信息是图象极点,从而简化了
文献中现有的算法.另外同时给出了由极点确定(运动组)关于无穷远平面单应性矩阵的充分必
要条件.模拟实验和实际图象实验验证了该方法的正确性和可行性.
Abstract:
In this paper, a new constraint on the homography of the plane at infinity is
introduced and a new linear camera calibration technique is proposed based on it. Compared
with the related techniques in the literature, the main advantages of our new
technique are tow-fold. Firstly, it is less stringent to hardware, for example, it does
not require the camera to undertake orthogonal motions which are usually difficult to
be done without special hardware support. In contrast, our technique requires only
one translation, and two general motions of camera, which can be easily done, for example,
with a hand-held camera. Secondly, in the determination of the homography of
the plane at infinity, it relies neither on projective reconstruction nor on the homography
of a space plane, it needs only some image correspondences and epipoles, which
are basic requirements for any camera self-calibration technique. In addition, we prove
that for a given set of camera motions such as { (R,t1), (R,t2)},if (t1 ,t2) are not linearly
dependent, then the homography of the plane at infinity under this motion set
can be linearly and uniquely determined. Simulations and experiments with real images
validate our new method.