Abstract
Digital in-line holography is a suitable method for measuring three dimensional (3D) velocity fields. Such a system records directly on a charge-coupled device (CCD) camera a couple of diffraction patterns produced by small particles illuminated by a modulated laser diode. The numerical reconstruction is based on the wavelet transformation method. A 3D particle field is reconstructed by computing the wavelet components for different scale parameters. The scale parameter is directly related to the axial distance between a given particle and the CCD camera. The particle images are identified and localized by analyzing the maximum of the wavelet transform modulus (WTMM) and the equivalent diameter of the particle image (Deq). Afterwards, a 3D point-matching (PM) algorithm is applied to the pair of sets containing the 3D particle locations. In the PM algorithm, the displacement of the particles is modeled by an affine transformation. This affine transformation is based on the use of the dual number quaternions. Afterwards, the velocity-field extraction is performed. This system is tested with simulated particle field displacements and the feasibility is checked with an experimental displacement.
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Malek, M., Lebrun, D., Allano, D. (2007). Digital In-Line Holography System for 3D-3C Particle Tracking Velocimetry. In: Particle Image Velocimetry. Topics in Applied Physics, vol 112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73528-1_8
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DOI: https://doi.org/10.1007/978-3-540-73528-1_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73527-4
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