Solution approach of a laser plane based on Plucker matrices of the projective lines on a flexible 2D target

摘要

A calibration method adopting Plucker matrices is proposed to explore the laser plane in a structured light measurement. The calibration model establishes the geometrical relationship among the camera, 2D target, and laser plane. The laser plane is constructed by multiple Plucker matrices of the dual 3D crossing lines between the laser plane and target planes in the camera coordinate system. Moreover, the validity of this calibration method is experimentally analyzed through the impact factors of noise magnitude and number of images. The mean errors of three directional angles of the normal vector to the laser plane are -0.174 degrees, 0.170 degrees, and -0.022 degrees, respectively. The variances of the errors of three directional angles are 0.069 degrees, 0.046 degrees, and 0.160 degrees, respectively. The maximal absolute errors of three directional angles are 1.362 degrees, 1.351 degrees, and 1.347 degrees, respectively. The experiments prove that the calibration method is available to provide an accurate calibration for the laser plane. (C) 2016 Optical Society of America