The design of phase-shifting algorithms (PSA’s) has been carried out with diverse strategies by different authors. A generalized algebraic approach is employed to obtain a family of detuning-insensitive PSA’s; their behavior against a linear phase error is analyzed from a geometric point of view. The obtained results are compared with the conditions provided by the Fourier representation of the corresponding sampling reference functions. In our case, new equations as criteria for determining whether a PSA is detuning insensitive, new analytic expressions for the phase error, and new algorithms with interesting properties are achieved.
© 2000 Optical Society of America
(050.5080) Diffraction and gratings : Phase shift
(070.2590) Fourier optics and signal processing : ABCD transforms
(100.2650) Image processing : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
Daniel Malacara-Doblado and Benito V. Dorrío, "Family of detuning-insensitive phase-shifting algorithms," J. Opt. Soc. Am. A 17, 1857-1863 (2000)