Calibration method for fringe projection profilometry with a binary defocusing technique

A novel and simple calibration method for fringe projection profilometry with a binary defocusing technique is proposed and verified by experiments. This paper theoretically presents the principle that the one-to-one mapping servers as spatially invariant to environment in the phase domain when the projector is defocused. In terms of this principle, only two reference planes are introduced in the volume of projector defocusing (the measured volume) to specify one constraint, i.e., the emitted light beams, which are determined by the sub-pixel homologous pairs from the measured object to the reference planes in the phase domain. The nonlinear camera model is utilized to define the other constraint, i.e., the reflected light beams. Then, combining these two constraints will calibrate the 3D information of the measured object. It is pointed out that the proposed method does not require the calibration of the projector. Experiments demonstrate the performance of our proposed approach: the measurement accuracy can reach about 0.0916 mm with the binary defocusing technique.