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Article Dans Une Revue Comptes Rendus Mécanique Année : 2019

Modal decomposition from partial measurements

Résumé

A data set over space and time is assumed to have a low rank representation in separated spatial and temporal modes. The problem of evaluating these modes from a temporal series of partial measurements is considered. Each elementary instantaneous measurement captures only a window (in space) of the observed data set, but the window position varies in time so as to cover the entire region of interest and would allow for a complete measurement would the scene be static. A novel procedure, alternative to the Gappy Proper Orthogonal Decomposition (GPOD) methodology, is introduced. It is a xed point iterative procedure where modes are evaluated sequentially. Tested upon very sparse acquisition (1% of measurements being available) and very noisy synthetic data sets (10% noise), the proposed algorithm is shown to outperform two variants of the GPOD algorithm, with much faster convergence, and better reconstruction of the entire data set.
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Dates et versions

hal-02337445 , version 1 (29-10-2019)

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Clément Jailin, Stéphane Roux. Modal decomposition from partial measurements. Comptes Rendus Mécanique, 2019, 347 (11), pp.863-872. ⟨10.1016/j.crme.2019.11.011⟩. ⟨hal-02337445⟩
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