Abstract: 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.