Shearlet transform for phase extraction in fringe projection profilometry with edges discontinuity

A new method based on the shearlet transform is presented for phase extraction in fringe projection profilometry (FPP) from a single fringe pattern. We apply the advanced shearlet transform to the fringe pattern to obtain the transform coefficients, and extract the fundamental frequency component of the fringe pattern in the 2-D frequency domain. We test the introduced method on a simulated pattern and two actual objects with edges or abrupt changes in height. The results show that the proposed method is more effective and accurate than the Fourier transform method and wavelet transform method.