Diamond Grant MNiSW (finished)

Development of fast adaptive bidimensional empirical mode decomposition method for fringe pattern analysis


Scientific project aims at developing fast adaptive bidimensional empirical mode decomposition method and Hilbert transform for optical metrology with automated fringe pattern analysis. Implementing adaptive filtration and demodulation (measurand extraction) algorithms improves the analysis quality comparing with classical multi-frame (temporal phase shifting) and single-frame (Fourier transform) approaches. Investigated adaptive single-frame empirical mode decomposition and Hilbert transform methods enabled and streamlined non-contact full-field measurements using optical techniques: speckle pattern interferometry, grating (moiré) interferometry, moiré and structured illumination technique (four techniques for displacement, strain and 3D shape analysis of micro to macro scale objects), structured illumination microscopy (for noninvasive volumetric imaging of the biological samples) and time-averaged interferometry (for vibration phase and amplitude analysis). Recent results of our studies published in renowned optical journals attest to the scientific value of the project and enable further development of the algorithmic solutions under focus. [more]

  1. Trusiak M., Patorski K., Wielgus M., 2012, Adaptive enhancement of optical fringe patterns by selective reconstruction using FABEMD algorithm and Hilbert spiral transform, Optics Express 21(21): 23463-23479
  2. Trusiak M., Patorski K., Pokorski K., 2013, Hilbert-Huang processing for single-exposure two-dimensional grating interferometry, Optics Express 21(23): 28359-28379
  3. Patorski K., Trusiak M., 2013, Highly contrasted Bessel fringe minima visualization for time-averaged vibration profilometry using Hilbert transform two-frame processing, Optics Express 21(14): 16863-16881
  4. Trusiak M., Wielgus M., Patorski K., 2014, Advanced processing of optical fringe patterns by automated selective reconstruction and enhanced fast empirical mode decomposition, Optics and Lasers in Engineering 52(1): 230-240
  5. Patorski K., Pokorski K., Trusiak M., 2014, Circular–linear grating Talbot interferometry with moiré Fresnel imaging for beam collimation, Optics Letters 39(2): 291-294
  6. Patorski K., Trusiak M., Tkaczyk T., 2014, Optically-sectioned two-shot structured illumination microscopy with Hilbert-Huang processing, Optics Express 22(28): 9517- 9527
  7. Trusiak M., Patorski K., 2015, Fringe pattern phase-amplitude demodulation using Gram-Schmidt orthonormalization with Hilbert-Huang pre-filtering, Optics Express 23(), …