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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 4 — Feb. 1, 2010
  • pp: 601–610

Hyperspectral tomography based on proper orthogonal decomposition as motivated by imaging diagnostics of unsteady reactive flows

Weiwei Cai and Lin Ma  »View Author Affiliations

Applied Optics, Vol. 49, Issue 4, pp. 601-610 (2010)

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A series of previous studies, both numerical and experimental, have demonstrated the advantages of hyperspectral tomography (HT) as a promising technique to measure the two-dimensional distributions of temperature and species concentration in reacting flows. This paper intends to prepare the mathematical groundwork for extended use of the HT technique for three-dimensional and/or time-correlated measurements. Direct application of the methods developed previously encounters both experimental and computational difficulties. Numerical studies reported in this paper suggest that the use of proper orthogonal decomposition (POD) is effective to overcome these difficulties. The use of POD in HT significantly reduces the computational cost, enhances the fidelity of the tomographic reconstructions, and improves the stability of the reconstruction in the presence of measurement noise. Implications of these results for practical applications are also discussed.

© 2010 Optical Society of America

OCIS Codes
(100.6950) Image processing : Tomographic image processing
(280.1740) Remote sensing and sensors : Combustion diagnostics
(280.3420) Remote sensing and sensors : Laser sensors
(300.1030) Spectroscopy : Absorption

ToC Category:
Image Processing

Original Manuscript: September 8, 2009
Manuscript Accepted: January 5, 2010
Published: January 25, 2010

Weiwei Cai and Lin Ma, "Hyperspectral tomography based on proper orthogonal decomposition as motivated by imaging diagnostics of unsteady reactive flows," Appl. Opt. 49, 601-610 (2010)

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