Profile reconstruction method adopting parameterized re-projection errors of laser lines generated from bi-cuboid references.

Abstract

A flexible reconstruction method, which is based on the line re-projection errors of the laser plane, is presented for the profile recovery. The bi-cuboid references are designed to cover the large view-field of the camera. The local intrinsic and extrinsic parameter matrices of the camera are initially contributed by the RQ decomposition. Then the balance model is demonstrated to obtain the global parameter matrices in view of the refined projection in the camera coordinate system. The flexible laser plane is solved by the Plücker matrices of the projection laser lines that are generated from the homographies of the cubical references and the global parameter matrices. Furthermore, the laser plane and global parameter matrices are improved by the cost function that is constructed by the re-projection errors of the parameterized laser lines on the references. The reconstruction experiments are performed to verify the validity and the accuracy of the optimization method and the initial method. The impact factors of the measurement distance, the reference distance and the test distance are investigated in the experiments. The average reconstruction errors are 1.14 mm, 1.13 mm, 1.15 mm and 1.17 mm in the four groups of experiments, which shows the good application prospect of the profile reconstructions.