Phase-shifting interferometry (PSI) and generalized phase-shifting interferometry (GPSI) are methods very well studied and established for phase retrieval. They consist manly in resolving a N × 3 system of equations, where N > 3 is the number of interferograms changed in known phase-steps, and the unknowns are background, modulation, and object phase. Nevertheless, in order to carry out PSI o GPSI it is necessary to exhaustively calibrate a phase-shifter. Self-calibrating generalized phase-shifting interferometry (SGPSI) offered an alternative to the necessary calibration with PSI or GPSI. In SGPSI the phase-steps are typically introduced by a miscalibrated phaseshifter and are considering unknown and unequal. In this talk, it is presented an accurate, robust, and non-iterative algorithm classified as SGPSI. It is based on the approximation of background and modulation light to 2-D polynomials of degree K by applying the least squares method. The present algorithm supports high spatial variations in the illumination, and the interferograms can be have any number of fringes and can be open and closed.

Cruz Meneses-Fabian obtained PhD degree in Optics in 2005 at Autonomous University of Puebla (BUAP), Mexico where actually he is a professor-researcher at Faculty of Physics-Mathematics (FCFM), and he teaches optics in Physics Bachelor and Applied Physics Postgrad. He is author of around fifty scientific papers, and more than thirty conference papers. He researches about new selfcalibrating algorithms in phase-shifting interferometry, and new experimental methods for phase retrieval such as the “Phase-visibility modulating interferometry” based on “Non-quadrature amplitude modulation.”