Quiroga Mellado, Juan AntonioGómez Pedrero, José Antonio2023-06-152023-06-152016-03-211094-408710.1364/OE.24.005984https://hdl.handle.net/20.500.14352/197En Open Access en la web del editor Received 30 Nov 2015; revised 11 Feb 2016; accepted 15 Feb 2016; published 9 Mar 2016. © 2016 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited.Principal component analysis phase shifting (PCA) is a useful tool for fringe pattern demodulation in phase shifting interferometry. The PCA has no restrictions on background intensity or fringe modulation, and it is a self-calibrating phase sampling algorithm (PSA). Moreover, the technique is well suited for analyzing arbitrary sets of phase-shifted interferograms due to its low computational cost. In this work, we have adapted the standard phase shifting algorithm based on the PCA to the particular case of photoelastic fringe patterns. Compared with conventional PSAs used in photoelasticity, the PCA method does not need calibrated phase steps and, given that it can deal with an arbitrary number of images, it presents good noise rejection properties, even for complicated cases such as low order isochromatic photoelastic patterns. © 2016 Optical Society of America.engjournal articlehttp://0-dx.doi.org.cisne.sim.ucm.es/10.1364/OE.24.005984https://0-www.osapublishing.org.cisne.sim.ucm.es/oe/fulltext.cfm?uri=oe-24-6-5984&id=337117open access535.41Phase measurementPolarimetryFringe analysisNondestructive testing. InstrumentationMeasurementand MetrologyÓptica (Física)2209.19 Óptica Física