Incremental PCA algorithm for fringe pattern demodulation



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Gómez Pedrero, José Antonio and Estrada, Julio César and Alonso Fernández, José and Quiroga Mellado, Juan Antonio and Vargas Balbuena, Javier (2022) Incremental PCA algorithm for fringe pattern demodulation. Optics express, 30 (8). pp. 12278-12293. ISSN 1094-4087

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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 Agreement

Item Type:Article
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© 2022 Optica Publishing Group.
Funding. Agencia Estatal de Investigación (PID2019-108850RA-I00).

Uncontrolled Keywords:Component Analysis; Dimensionality reduction
Subjects:Sciences > Physics > Optics
ID Code:71980
Deposited On:06 May 2022 17:17
Last Modified:09 May 2022 07:08

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