3D measurements from a single uncalibrated image using several geometrical clues in a real scene

Abstract

This paper describes several methods for 3D measurements from a single uncalibrated image using various geometrical clues in a real scene. First, we consider a speci_ed plane in real space as a base plane (reference plane), and estimate the camera projection matrix using two image points whose actual heights from the reference plane are already known. Second, based on the projection matrix, we estimate a new plane via the reference plane whose parameters are already determined. Speci_cally, we propose two new methods for estimating a plane inter-secting the reference plane with an arbitrary angle: (i) the method using a imaged circle and a imaged center of the circle which exists on that plane, (ii) the method using two imaged circles that both exist on that plane. Further-more, we show how to extract other 3D information related to the reference plane from the single image.Finally, we verify the validity and the effectiveness of our methods through some experiments.