Modified Object Detection for Hand-Eye Calibration of Laser Profile Scanner

This article introduces a newly modified evaluation of a relative position between a profile scanner and a cuboid calibration object, which is used for a hand-eye calibration of the profile scanner as a robot tool. First, the problematic part of the evaluation of the system of nonlinear equations describing a tetrahedron in the original algorithm previously solved by a numerical method is described. Then a newly proposed solution of this system of nonlinear equations using a resultant is presented. This evaluation is part of the overall model of the calibration process, which is used to evaluate the hand-eye calibration and also to generate calibration positions according to a proposed criterion. The benefits of the modified evaluation are verified by several experiments.