Gómez Pedrero, José AntonioEstrada, Julio CésarAlonso Fernández, JoséQuiroga Mellado, Juan AntonioVargas Balbuena, Javier2023-06-222023-06-222022-04-111094-408710.1364/OE.452463https://hdl.handle.net/20.500.14352/71418© 2022 Optica Publishing Group. Funding. Agencia Estatal de Investigación (PID2019-108850RA-I00).This work proposes a new algorithm for demodulating fringe patterns using principal component analysis (PCA). The algorithm is based on the incremental implantation of the singular value decomposition (SVD) technique for computing the principal values associated with a set of fringe patterns. Instead of processing an entire set of interferograms, the proposed algorithm proceeds in an incremental way, processing sequentially one (as minimum) interferogram at a given time. The advantages of this procedure are twofold. Firstly, it is not necessary to store the whole set of images in memory, and, secondly, by computing a phase quality parameter, it is possible to determine the minimum number of images necessary to accurately demodulate a given set of interferograms. The proposed algorithm has been tested for synthetic and experimental in ter ferograms showing a good performance. (C) 2022 Optica Publishing Group under the terms of the Optica Open Access Publishing AgreementengAtribución 3.0 Españajournal articlehttp://dx.doi.org/10.1364/OE.452463https://opg.optica.orgopen access535Component AnalysisDimensionality reductionÓptica (Física)2209.19 Óptica Física