“…Phase-shifting interferometry (PSI)1, a non-intervention, high accuracy, full field, rapid speed and quantitative phase retrieval technique, has been widely used in wavefront reconstruction, optical element testing, refractive index measurement2 and quantitative phase imaging (QPI) microscopy3456, which is a tool of phase-sample evaluation in micro-scale and frequently applied in biomedicine in, e.g., red blood cell3 and cancer diagnosis4. To date, many phase-shifting algorithms (PSAs) have been developed78910111213141516171819, such as in temporal PSAs, the fixed-coefficients PSAs71011 and tunable PSAs71213 reveal rapid speed and high accuracy, but their performance is usually affected by the phase shifts deviation (PSD) induced by the detuning of phase shifter.…”