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Optical Engineering

Three-dimensional particle position using continuous wavelet and circle Hough transforms
Author(s): David Moreno-Hernandez; J. Andres Bueno-Garcia; Cornelio Alvarez-Herrera; J. Ascencion Guerrero-Viramontes; Fernando Mendoza Santoyo
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Paper Abstract

An alternative method to determine particle position in 3D is herewith proposed. The procedure to be followed is simple since it avoids a complicated experimental set-up and several computation steps to obtain the final particle position. In order to compute the position and radius of a particle image, the continuous wavelet and Hough transforms are employed: the proposed method is based on the size and position calculation for a particle diffraction image central spot size. The size and centroid of the central spot size render the z and x-y position of a particle image, respectively. This approach has been applied to simulated and experimental particle images. Simulated particle images have been obtained using the near field Lorenz-Mie theory, and show between the actual and calculated central spot size. An average relative error of 0.4% and 1.7% for x-y and z directions, respectively, was found in the analysis. The extraction of the 3D particle position was done with experimental particle images obtained from particle motion provoked by heated water inside a channel. The quality of the particle images determines the accuracy of the calculation of its central spot size.

Paper Details

Date Published: 1 May 2011
PDF: 11 pages
Opt. Eng. 50(5) 053604 doi: 10.1117/1.3575650
Published in: Optical Engineering Volume 50, Issue 5
Show Author Affiliations
David Moreno-Hernandez, Ctr. de Investigaciones en Óptica, A.C. (Mexico)
J. Andres Bueno-Garcia, Ctr. de Investigaciones en Óptica, A.C. (Mexico)
Cornelio Alvarez-Herrera, Ctr. de Investigaciones en Óptica, A.C. (Mexico)
J. Ascencion Guerrero-Viramontes, Ctr. de Investigaciones en Óptica, A.C. (Mexico)
Fernando Mendoza Santoyo, Ctr. de Investigaciones en Óptica, A.C. (Mexico)

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