The research in this paper is intended for a precise position measurement system based on 4 line-cameras. Each camera is equipped with a cylindrical lens that can stretch an image point into a line which is perpendicular to the linear CCD, thus providing one dimension of projected coordinate of the corresponding 3D point. This system has a symmetrical structure with four line-cameras being divided into two identical groups. In each group, the two linecameras are fixed together with orientations normal to each other. Those two line-cameras form a 2D image sensor that can determine a light of sight on which the target point lies, just like an area array CCD camera does. With two groups of line-cameras, the position of 3D points can be detected. In this paper, a model of the 4-line-camera system for computing the coordinates of 3D target points in object frame is proposed, which is linear and computationally efficient. In addition, a calibration approach is presented in which the exterior orientations of the four line-cameras are obtained. Experiment results have shown that the system can achieve high accuracy in coordinate measurement of light spots from 0.5m to 3.5m, which demonstrate the performance of our proposed modeling and calibration methods.
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