In this work, we proposed a procedure for the calibration of 3D surface shape measurement system, which is based on fringe projection and phase shifting algorithms. Our approach consists in the use of temporal phase unwrapping methods to determine the phase-to-height mapping relationship. In particular, we propose the use of the two-step temporal phase-unwrapping algorithm. For that, two sequences of fringe patterns (low and high sensitivity) are projected onto the reference plane, which is shifted perpendicularly to the camera-projector plane. Then, the phase maps at each shifting step are retrieved from acquired sequences of sinusoidal intensity patterns using the two-step temporal unwrapping formula. Finally, using the phase maps at well-known in a least-squares scheme, the system parameters, nonlinear model of calibration, are estimated, i.e. the phase-to-height mapping relationship. Validation experiments are presented.
Three-dimensional shape profiling by sinusoidal phase-shifting methods is affected by the non-linearity of the projector. To overcome this problem, the defocused projection of binary patterns has become an important alternative to generate sinusoidal fringe patterns. In this paper, we present an efficient technique to generate binary fringe patterns where we use the symmetry and periodicity properties of binary-coded sinusoidal intensity. This reduces the search-space for the optimization problem. The patterns are projected out-of-focus to generate quasi-sinusoidal patterns, which can be used together with a phase-shifting algorithm to retrieve 3-D shape measurements. Simulations and experimental results show the feasibility of the proposed scheme.
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