Abstract
An optimization method to reconstruct the object profile is performed by using a flexible laser plane and bi-planar references. The bi-planar references are considered as flexible benchmarks to realize the transforms among two world coordinate systems on the bi-planar references, the camera coordinate system and the image coordinate system. The laser plane is confirmed by the intersection points between the bi-planar references and laser plane. The 3D camera coordinates of the intersection points between the laser plane and a measured object are initially reconstructed by the image coordinates of the intersection points, the intrinsic parameter matrix and the laser plane. Meanwhile, an optimization function is designed by the parameterized differences of the reconstruction distances with the help of a target with eight markers, and the parameterized reprojection errors of feature points on the bi-planar references. The reconstruction method with the bi-planar references is evaluated by the difference comparisons between true distances and standard distances. The mean of the reconstruction errors of the initial method is 1.01 mm. Moreover, the mean of the reconstruction errors of the optimization method is 0.93 mm. Therefore, the optimization method with the bi-planar references has great application prospects in the profile reconstruction.
Highlights
The average relative errors of the initial method and the optimization method are less than 5%
An optimization reconstruction method of object profile is realized in this paper by using a flexible laser plane and bi-planar references
The camera internal parameters, the rotation matrix and the translation vector are determined by the projections from the feature points on the two planar references to ones on the image
Summary
Two world coordinate systems OW1-XW1YW1ZW1, OW2-XW2YW2ZW2, the camera coordinate system OC-X CY CZ C and the image coordinate system OI-XIYIZI are defined on the two planar references, the camera and the image, respectively. Two checker-board-pattern references are considered as the transform bridges among the measured object, the laser plane and the camera. The flexible laser plane intersects two planar references with two lines. According to the camera pinhole model[32], the 3D points on the intersection lines and the projected image points are represented by. X (W,k) i [Xi(W,k), Yi(W,k), 1]T is the point of the intersection laser line on the planar reference. X [xi(IW,k), yi(IW,k), projection point of (W,k) i in the image coordinate system.
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