The invention discloses an 
orthogonal plane calibrating method and an 
orthogonal plane calibrating 
system of relation between a 
laser distance measuring device and an end of a mechanical arm. The 
laser distance measuring device is fixedly disposed on the end of the mechanical arm, and the calibrating planes, which are orthogonal to each other, are disposed in the space. Under the driving of the rotating 
translational motion of the mechanical arm, the posture of the 
laser distance measuring device can be changed, and the distance d measured by the laser distance measuring device can be used to solve the translational vector r and the unit 
direction vector v of the laser beam, and the calibrating of the 
space transformation relation between the laser distance measuring device and the end of the mechanical arm can be completed. The reconstruction of the point x of the object in the three-dimensional object can be realized according to the x=r+dv. The transformation relation between the coordinate 
system of the end of the mechanical arm and the coordinate 
system of the laser distance measuring device can be determined clearly. By using the calibrating plane as the 
orthogonal plane and adopting the non-linear optimization method, the coplanarity of the points can be fully used as the constraint condition to solve the calibrating problem of the 
space transformation relation, and therefore the constraint condition can be added, the errors can be reduced, the 
noise interference can be reduced, the robustness and the easy implementation of the method can be improved, and the calibrating precision of the 
space transformation relation can be improved.