An optical tomography reconstruction algorithm with the Discontinuous Galerkin method

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Proceedings titleASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011
ConferenceASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011, 11 November 2011 through 17 November 2011, Denver, CO
Pages10011010; # of pages: 10
SubjectDiscontinuous Galerkin formulation; Discontinuous Galerkin methods; Finite Element; Finite volume; Forward models; Gradient based algorithm; Integral form; Inverse approach; Iterative schemes; Light transport; Numerical tests; Objective functions; Tomography reconstruction; Algorithms; Exhibitions; Galerkin methods; Image reconstruction; Mechanical engineering; Numerical methods; Optical properties; Optical tomography; Systems analysis; Thermodynamics; Iterative methods
AbstractIn 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.
Publication date
AffiliationNational Research Council Canada (NRC-CNRC)
Peer reviewedYes
NPARC number21271753
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Record identifier09367f3d-5d1a-4f76-adef-0b4414369ef0
Record created2014-03-24
Record modified2016-05-09
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