Fast, wide-field-of-view, and accurate 3D imaging using reference-phase-based number-theoretical temporal phase unwrapping

For 3D imaging based on fringe projection, Temporal Phase Unwrapping (TPU), which can robust absolute phase recovery, is of importance for measuring complex scenes with surface discontinuities. In this paper, we present a fast 3D imaging using reference-phase-based number-theoretical temporal phase unwrapping. By introducing the reference phases into the traditional number-theoretical TPU, the proposed method with the aid of the optimal bi-frequency scheme has the ability to efficiently and accurately eliminate the phase ambiguities of high-frequency fringes, while theoretically circumventing the limitations of the measurement range. Experimental results demonstrate that the proposed method enhanced the efficiency and accuracy of absolute phase measurement, achieving fast, wide-field-of-view, and long-distance 3D imaging.