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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 3 — Jan. 20, 2013
  • pp: 439–448

Adaptation of the Fourier–Hankel method for deflection tomographic reconstruction of axisymmetric field

Hassan Chehouani and Mahfoud El Fagrich  »View Author Affiliations

Applied Optics, Vol. 52, Issue 3, pp. 439-448 (2013)

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In this work, we describe an adaptation of Fourier–Hankel method to Abel inversion for the deflection tomographic reconstruction of axisymmetric temperature field. This technique is compared with existing methods to test the accuracy and error propagation using simulated Moiré stripes of natural convection flow above a heated horizontal disk in air. Simpson’s 1/3rd rule and one-point and two-point formulas are used in this comparison. The results showed that the proposed technique for Abel inversion is accurate and has the powerful capacity to control the smoothing degree of noise in the inversion process.

© 2013 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: October 2, 2012
Revised Manuscript: December 11, 2012
Manuscript Accepted: December 11, 2012
Published: January 16, 2013

Hassan Chehouani and Mahfoud El Fagrich, "Adaptation of the Fourier–Hankel method for deflection tomographic reconstruction of axisymmetric field," Appl. Opt. 52, 439-448 (2013)

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