Generalized phase-shifting interferometry by parameter estimation with the least squares method

► GPSI based on the parameter estimation by least squares method is proposed. ► A new interferogram normalization method by polynomial surfaces fitting is introduced. ► The algorithm work with two or more interferograms with spatio-temporal visibility. ► Simulated and experimental data are processed to verify the algorithm's feasibility. ► This algorithm could be used in automatic real-time applications.