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An Optical Tomography Reconstruction Algorithm With the Discontinuous Galerkin Method

[+] Author Affiliations
Olivier Balima, André Charette

Université du Québec à Chicoutimi, Chicoutimi, QC, Canada

Yann Favennec

Polytech Nantes - La Chantrerie, Nantes, France

Joan Boulanger

National Research Council, Ottawa, ON, Canada

Paper No. IMECE2011-63845, pp. 1001-1010; 10 pages
doi:10.1115/IMECE2011-63845
From:
  • ASME 2011 International Mechanical Engineering Congress and Exposition
  • Volume 4: Energy Systems Analysis, Thermodynamics and Sustainability; Combustion Science and Engineering; Nanoengineering for Energy, Parts A and B
  • Denver, Colorado, USA, November 11–17, 2011
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5490-7
  • Copyright © 2011 by ASME

abstract

In optical tomography, the optical properties are recovered through an iterative scheme, which consists in minimizing the errors between the measurements and the predications of a forward model. Traditionally, finite volumes or continuous finite elements formulations of light transport are used as a forward model for the predictions. we have introduced an integral form of the objective function that takes into account the surface of the detectors, and thus making compatible the inverse approach with all finite elements formulations (continuous and discontinuous). This present paper illustrates this novel approach by developing a Discontinuous Galerkin formulation as a forward model. Numerical tests are performed to gauge the accuracy of the method with a gradient-based algorithm. The results show that the reconstruction is accurate and can be affected by noise on the measurements as expected. A filtering of the gradient improves the quality and the accuracy of the reconstruction.

Copyright © 2011 by ASME

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