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Pseudo-time marching schemes for inverse problems in structural health assessment and medical imaging

Varma, HM and Banerjee, B and Nandakumaran, AK and Vasu, RM and Roy, D (2009) Pseudo-time marching schemes for inverse problems in structural health assessment and medical imaging. In: Current science, 97 (8). pp. 1220-1226.

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We propose a self-regularized pseudo-time marching strategy for ill-posed, nonlinear inverse problems involving recovery of system parameters given partial and noisy measurements of system response. While various regularized Newton methods are popularly employed to solve these problems, resulting solutions are known to sensitively depend upon the noise intensity in the data and on regularization parameters, an optimal choice for which remains a tricky issue. Through limited numerical experiments on a couple of parameter re-construction problems, one involving the identification of a truss bridge and the other related to imaging soft-tissue organs for early detection of cancer, we demonstrate the superior features of the pseudo-time marching schemes.

Item Type: Journal Article
Publication: Current science
Publisher: Indian Academy of Sciences
Additional Information: Copyright for this article belongs to Indian Academy of Sciences.
Keywords: Health assessment; medical imaging; Newton algorithm; pseudo-time marching schemes
Department/Centre: Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics
Division of Mechanical Sciences > Civil Engineering
Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 30 Nov 2009 06:00
Last Modified: 19 Sep 2010 05:53
URI: http://eprints.iisc.ac.in/id/eprint/25026

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