本文方法表明,由一空间平面(参考平面)与其图像间的单应性矩阵(Homography)不仅此参考平面上的距离可以测量,而且可以测量与此参考平面垂直的平面上的距离.同时,分别位于两平面上的点间的距离也可以测量.这样就可以得到关于场景的更多的几何信息,此结果是在前人的基础上又向前跨了一步.另外,本文提出一种新的基于平面单应性矩阵的摄像机标定方法.模拟和真实图像试验均表明本文方法是可行的,并得到了令人满意的结果.%In the literature, it was shown that distances on a scene plane (referred as the reference plane) can be measured via the homography between this plane and its projected image. We show in this paper that we can push the frontier slightly further under the same condition, in other words, some more pieces of geometrical information on the scene can also be retrieved through such a homography. In particular, we show that in addition to distances on the reference plane,distances on any plane perpendicular to the reference plane, or distance of any pair of points with one point lying on the reference plane and the other on a perpendicular plane can also be measured provided that the used camera is either a calibrated one or an uncalibrated one but with only two unknown parameters. Furthermore, we also have had an investigation on how to estimate the two unknown parameters from the homography. Finally, both simulated data and real images have been used to test our new method and results are satisfactory.
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