2026-06-01T02:08:48Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/335792024-07-09T15:37:39Zcom_20.500.14352_14col_20.500.14352_15
Parameter identification in photothermal imaging
Carpio Rodríguez, Ana María
Rapún Banzo, María Luisa
004
Shape reconstruction
Parameter identification
Nondestructive testing
Topological derivative
Laplace transform
Heat equation
Thermal waves
Informática (Informática)
1203.17 Informática
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.
Gobierno de España
Ministerio de Economía, Comercio y Empresa (España)
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-19T13:24:32Z
2023-06-19T13:24:32Z
2014-06
journal article
https://hdl.handle.net/20.500.14352/33579
0924-9907
10.1007/s10851-013-0459-y
1573-7683
eng
TRA2010-18054
FIS2011-28838-C02-02
FIS2010-22438-E
Carpio Rodríguez, A. M. y Rapún Banzo, M. L. «Parameter Identification in Photothermal Imaging». Journal of Mathematical Imaging and Vision, vol. 49, n.o 2, junio de 2014, pp. 273-88. DOI.org (Crossref), https://doi.org/10.1007/s10851-013-0459-y.
restricted access
application/pdf
Springer