Phase retrieval from single frame projection fringe pattern with variational image decomposition

•We present a new method for phase retrieval from a single frame projection fringe pattern based on variational image decomposition.•We propose a new image decomposition model TV-G-Shearlet in order to efficiently split a projection fringe pattern into background part, fringe part and noise part.•Our method outperforms the widely used and well-known FTM and WTM in terms of both visual quality and phase estimation errors.

Phase retrieval from single frame projection fringe pattern is of fundamental importance, and is also a challenging problem in fringe projection measurement. In this paper, we present a new method for phase retrieval from a single frame projection fringe pattern based on variational image decomposition (VID) methods. We propose a new image decomposition model TV-G-Shearlet in order to effectively split a projection fringe pattern into background part, fringe part and noise part. The performance of the proposed approach is verified by simulated and real projection fringes as well as the comparison with the widely used and well-known Fourier transform method and wavelet transform method.