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Surface Reconstruction Adopting Laser Plane of Linear Path System Registered by Parallel Constraint

A surface reconstruction technology, which is contributed from the parallel constraint between two laser planes, is introduced and achieved by a laser projector guided by a linear path system. The projection geometry is constructed by the projection planes, the target planes, the laser planes, the image planes, and the intersection lines. First, the angle between the direction of the projector translation and the normal vector of the laser plane is contributed by the bilinear product operator of the intersection line and the projection matrix. Second, the distance errors are generated from the points on two laser planes and parameterized by the angle and the laser plane for the optimization. Finally, the surface reconstruction is realized by the optimized angle and laser plane. The experiments are conducted to prove the validity of the surface measurement method. The mean of the reconstruction errors is 0.78 mm in the test, which indicates the application potentials from the experimental investigations.