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In the deformation measurement of moving objects with fringe projection, such as the deformation of objects in high-speed flight and the measurement of the unconstrained facial expression changes, we pursue to project as few patterns as possible and obtain as high measurement accuracy as possible. Obtaining the unwrapped phase is one of the key steps in fringe projection 3D measurement, which generally needs the assistance of other information. The common methods are spatial phase unwrapping algorithm, temporal phase unwrapping algorithm, and multi-view geometric constraint. These methods solve the phase unwrapping problem well to some extent, but they have their limitations. The spatial phase unwrapping method is difficult to deal with spatially discontinuous or isolated regions. The temporal phase unwrapping method takes a long time and requires higher hardware at the same measurement speed. The multi-view geometric constraint method reduces the measurement area and increases the complexity and cost of the whole system. In most circumstances, the initial shape of the moving objects can be obtained. According to this fact, a two-step scheme is proposed to improve the performance of dynamic 3D shape measurement. 1) The initial 3D shape of the object and the corresponding 3D coordinates of feature points in the 2D image are obtained by measuring the static object or its CAD model. 2) Carry out the 3D measurement of object motion and change. By detecting the feature points in the dynamic image, the motion parameters of the object at different times are calculated according to the corresponding relationship between 2D and 3D coordinates. Then the approximate shape of the object is estimated from the initial shape. The approximate phase of the fringe pattern at this time is calculated. Then, combined with the approximate phase and the wrapped phase of the actual fringe, the unwrapped phase is calculated, and the 3D shape of the object at that time is obtained. Compared with the temporal phase unwrapping method, the proposed scheme improves the measurement speed under the same measurement reliability. Compared with the spatial phase unwrapping method, this scheme improves the measurement reliability at the same measurement speed and is not affected by fringe discontinuity. A static and dynamic dual-mode 3D measurement system was built by using a DLP projector and high-speed camera. The 3D shape measurement of 1280×1024 points at 70 f/s is realized. The experimental results show that the scheme is feasible and has a large tolerance for the change of the object pose at adjacent times.
Schematic diagram of fringe projection 3D measurement system structure
Schematic diagram of motion parameter estimation
Schematic diagram of measurement system
Comparison between unwrapped and standard phase.
Measurement data at a certain posture. (a) Deformed fringe; (b) Feature points; (c) Standard phase; (d) Reference phase; (e) Difference between (d) and (c); (f) Cross-sections of red line in (e)
Measurement results of large deformation during motion. (a) Initial 3D shape; (b) Shape of time 1; (c) Shape of time 2; (d) Shape of time 3