Journal of Mathematical Imaging and Vision

, Volume 49, Issue 2, pp 273–288 | Cite as

Parameter Identification in Photothermal Imaging



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.


Shape reconstruction Parameter identification Nondestructive testing Topological derivative Laplace transform Heat equation Thermal waves 



The authors are partially supported by the Spanish Government research project TRA2010–18054 and the Spanish Ministerio de Economia y Competitividad Grants No. FIS2011-28838-C02-02, and No. FIS2010-22438-E.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Dept. Matemática AplicadaUniversidad Complutense de MadridMadridSpain
  2. 2.Dept. Fundamentos Matemáticos, ETSI AeronáuticosUniversidad Politécnica de MadridMadridSpain

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