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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 24 — Aug. 20, 2012
  • pp: 5834–5844

Comparative study on basis functions for projection matrix of three-dimensional tomographic reconstruction for analysis of droplet behavior from electrohydrodynamic jet

Xuan Hung Nguyen, Soo-Hong Lee, and Han Seo Ko  »View Author Affiliations

Applied Optics, Vol. 51, Issue 24, pp. 5834-5844 (2012)

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Three-dimensional optical tomography techniques were developed to reconstruct three-dimensional objects using a set of two-dimensional projection images. Five basis functions, such as cubic B-spline, o-Moms, keys, and cosine functions and Gaussian basis functions, were used to calculate the weighting coefficients for a projection matrix. Two different forms of a multiplicative algebraic reconstruction technique were also used to solve inverse problems. The reconstruction algorithm was examined by using several phantoms, which included droplet behaviors and random distributions of particles in a volume. The three-dimensional volume comprised of particles was reconstructed from four projection angles, which were positioned at an offset angle of 45° between each other. Then, three-dimensional velocity fields were obtained from the reconstructed particle volume by three-dimensional cross correlation. The velocity field of the synthetic vortex flow was reconstructed to analyze the three-dimensional tomography algorithm.

© 2012 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(100.6890) Image processing : Three-dimensional image processing
(100.6950) Image processing : Tomographic image processing
(110.6960) Imaging systems : Tomography
(120.4640) Instrumentation, measurement, and metrology : Optical instruments
(110.6955) Imaging systems : Tomographic imaging

ToC Category:
Image Processing

Original Manuscript: May 8, 2012
Revised Manuscript: July 20, 2012
Manuscript Accepted: July 20, 2012
Published: August 15, 2012

Xuan Hung Nguyen, Soo-Hong Lee, and Han Seo Ko, "Comparative study on basis functions for projection matrix of three-dimensional tomographic reconstruction for analysis of dropletbehavior from electrohydrodynamic jet," Appl. Opt. 51, 5834-5844 (2012)

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