The absolute conic is the key for recovering the Euclidean structure in 3-D space. The image of the absolute conic can be parametrized by the set of three vanishing points corresponding to orthogonal directions in space with two independent additional factors. Whereas a single plane to image homography only allows the image to inherit two vanishing points and one of these factors, we describe a method which recovers the metric structures of any perpendicular plane to the ground from the ground to image homography matrix. Indeed, under the assumption of a natural camera, we demonstrate that the third vanishing point lies on a line that we call central line. A direct solution is found with an additional constraint relevant to the application we deal with (automatic analysis of soccer video): a “pseudo-parallelism” between one of the camera axis and the ground plane. Direct applications on video mpeg-encoded images are presented in the experiment section showing a very satisfactory accuracy.