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Parameter identification in photothermal imaging

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Carpio, Ana and Rapun, M. L. (2014) Parameter identification in photothermal imaging. Journal of Mathematical Imaging and Vision, 49 (2). pp. 273-288. ISSN 0924-9907 (Print) 1573-7683 (Online)

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Official URL: http://link.springer.com/article/10.1007%2Fs10851-013-0459-y


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Abstract

We propose a technique to reconstruct the geometry of inclusions and their material parameters in thermal scattering near surfaces. The imaging problem is reformulated as a constrained optimization problem with a finite number of stationary constraints. The unknown domains and their parameters are the design variables. A descent method combining topological derivative analysis to find improved guesses of the objects and gradient iterations to correct their material parameters provides reasonable reconstructions.


Item Type:Article
Uncontrolled Keywords:Shape reconstruction; Parameter identification; Nondestructive testing; Topological derivative; Laplace transform; Heat equation; Thermal waves
Subjects:Sciences > Computer science
ID Code:25840
Deposited On:12 Jun 2014 11:18
Last Modified:12 Dec 2018 15:06

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