Numerical Investigation of Phase Estimation for 3D Measurement in the Fringe Projection Technology

Phase data modulating the intensity of fringe patters can provide useful information about object surface or shape using an optical fringe projection system. Measuring the phase map of recorded fringe pattern via an appropriate phase retrieval algorithm can lead as to the object shape information. Several physical and numerical parameters can affect the estimation of phase maps. We systematically studied effects of theses parameters on different phase analyses using a recently proposed directional wavelet algorithm (DWA) that is based on 2D continuous wavelet transform (2D-CWT), an advanced multiscale decomposition algorithm. We considered two types of parameters that are often presented in recorded intensity images: local spatial frequencies of data and modulation rate of fringe patterns. In this paper, we propose a study of the phase retrieval problem by comparing two different methods on numerical and experimental data, to improve the performance of the analysis process and then the accuracy of results