Abstract
In this paper, we describe how 3D Euclidean measurements can be made in a pair of perspective images, when only minimal geometric information are available in the image planes. This minimal information consists of one line on a reference plane and one vanishing point for a direction perpendicular to the plane. Given these information, we show that the length ratio of two objects perpendicular to the reference plane can be expressed as a function of the camera principal point. Assuming that the camera intrinsic parameters remain invariant between the two views, we recover the principal point and the camera focal length by minimizing the symmetric transfer error of geometric distances. Euclidean metric measurements can then be made directly from the images. To demonstrate the effectiveness of the approach, we present the processing results for synthetic and natural images, inclu ding measurements along both parallel and non-parallel lines.
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