Hilbert Huang Transform Based Method for Spatial Carrier Superposition: Application for 3D DSPI Reconstruction

This paper presents a Hilbert Huang Transform method for phase extraction in digital speckle pattern interferometry. We present here a new technique that provides, with a good accuracy, the phase distribution from a single correlogram with closed fringes and this by a new exploitation of the analytic signal, resulted from two-dimensional empirical mode decomposition associated to Hilbert and wavelet transforms. Thereafter, a simulation was carried out to validate the proposed algorithm, giving good results. The main advantage of this technique is its ability to offer a metrological solution adapted to the dynamic analysis needs in disruptive environments.