Quantum mechanics

Algorithm

Phase (matter)

Structured-light 3D scanner

Engineering

Ambiguity

Telecommunications

Phase retrieval

Computer science

Projection (relational algebra)

Scanner

Mechanical engineering

Physics

Organic chemistry

Mathematics

Mathematical analysis

Artificial intelligence

Chemistry

Programming language

Deep learning

Absolute phase

Fourier transform

One shot

Computer vision

Frame (networking)

APL Photonics

Fringe projection profilometry (FPP) has become a more prevalently adopted technique in intelligent manufacturing, defect detection, and some other important applications. In FPP, efficiently recovering the absolute phase has always been a great challenge. The stereo phase unwrapping (SPU) technologies based on geometric constraints can eliminate phase ambiguity without projecting any additional patterns, which maximizes the efficiency of the retrieval of the absolute phase. Inspired by recent successes of deep learning for phase analysis, we demonstrate that deep learning can be an effective tool that organically unifies phase retrieval, geometric constraints, and phase unwrapping into a comprehensive framework. Driven by extensive training datasets, the neural network can gradually “learn” to transfer one high-frequency fringe pattern into the “physically meaningful” and “most likely” absolute phase, instead of “step by step” as in conventional approaches. Based on the properly trained framework, high-quality phase retrieval and robust phase ambiguity removal can be achieved only on a single-frame projection. Experimental results demonstrate that compared with traditional SPU, our method can more efficiently and stably unwrap the phase of dense fringe images in a larger measurement volume with fewer camera views. Limitations about the proposed approach are also discussed. We believe that the proposed approach represents an important step forward in high-speed, high-accuracy, motion-artifacts-free absolute 3D shape measurement for complicated objects from a single fringe pattern.

Deep-learning-enabled geometric constraints and phase unwrapping for single-shot absolute 3D shape measurement