Determination of phase by using one dimensional continuous wavelet transform with generalized morse wavelet

When determining the phase from the projected fringes by one dimensional using continuous wavelet transform (1D CWT), selection of wavelet is an important step. A new wavelet for phase retrieval from the fringe pattern with the spatial carrier frequency in the x direction is presented. GMWs have two variable parameters which have influence on localization property. In 1D CWT method, phase is calculated according to the localization property. Therefore, in the analysis of 1D CWT, as a mother wavelet, zero order GMW was chosen because of the flexible spatial and frequency localization property, to calculate the phase with less error. In this study, GMW method is explained and numerical simulations are carried out to show the validity of this technique for finding the phase distributions. Results for the Morlet and Paul wavelets were compared with the results of GMW analysis.