An asynchronous phase-shifting method based on principal component analysis (PCA) is presented. No restrictions about the background, modulation, and phase shifts are necessary. The presented method is very fast and needs very low computational requirements, so it can be used with very large images and/or very large image sets. The method is based on obtaining two quadrature signals by the PCA algorithm. We have applied the proposed method to simulated and experimental interferograms, obtaining satisfactory results.
© 2011 Optical Society of America
Original Manuscript: January 28, 2011
Revised Manuscript: March 15, 2011
Manuscript Accepted: March 15, 2011
Published: April 5, 2011
J. Vargas, J. Antonio Quiroga, and T. Belenguer, "Phase-shifting interferometry based on principal component analysis," Opt. Lett. 36, 1326-1328 (2011)