A rainbow inverse problem

A. Blasselle; V. Calvez; A. Moussa

ESAIM: Proceedings (2010)

  • Volume: 30, page 142-152
  • ISSN: 1270-900X

Abstract

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We consider the radiative transfer equation (RTE) with reflection in a three-dimensional domain, infinite in two dimensions, and prove an existence result. Then, we study the inverse problem of retrieving the optical parameters from boundary measurements, with help of existing results by Choulli and Stefanov. This theoretical analysis is the framework of an attempt to model the color of the skin. For this purpose, a code has been developed to solve the RTE and to study the sensitivity of the measurements made by biophysicists with respect to the physiological parameters responsible for the optical properties of this complex, multi-layered material.

How to cite

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Blasselle, A., Calvez, V., and Moussa, A.. Bresch, D., et al, eds. " A rainbow inverse problem ." ESAIM: Proceedings 30 (2010): 142-152. <http://eudml.org/doc/251249>.

@article{Blasselle2010,
abstract = {We consider the radiative transfer equation (RTE) with reflection in a three-dimensional domain, infinite in two dimensions, and prove an existence result. Then, we study the inverse problem of retrieving the optical parameters from boundary measurements, with help of existing results by Choulli and Stefanov. This theoretical analysis is the framework of an attempt to model the color of the skin. For this purpose, a code has been developed to solve the RTE and to study the sensitivity of the measurements made by biophysicists with respect to the physiological parameters responsible for the optical properties of this complex, multi-layered material.},
author = {Blasselle, A., Calvez, V., Moussa, A.},
editor = {Bresch, D., Calvez, V., Grenier, E., Vigneaux, P., Gerbeau, J-F.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {12},
pages = {142-152},
publisher = {EDP Sciences},
title = { A rainbow inverse problem },
url = {http://eudml.org/doc/251249},
volume = {30},
year = {2010},
}

TY - JOUR
AU - Blasselle, A.
AU - Calvez, V.
AU - Moussa, A.
AU - Bresch, D.
AU - Calvez, V.
AU - Grenier, E.
AU - Vigneaux, P.
AU - Gerbeau, J-F.
TI - A rainbow inverse problem
JO - ESAIM: Proceedings
DA - 2010/12//
PB - EDP Sciences
VL - 30
SP - 142
EP - 152
AB - We consider the radiative transfer equation (RTE) with reflection in a three-dimensional domain, infinite in two dimensions, and prove an existence result. Then, we study the inverse problem of retrieving the optical parameters from boundary measurements, with help of existing results by Choulli and Stefanov. This theoretical analysis is the framework of an attempt to model the color of the skin. For this purpose, a code has been developed to solve the RTE and to study the sensitivity of the measurements made by biophysicists with respect to the physiological parameters responsible for the optical properties of this complex, multi-layered material.
LA - eng
UR - http://eudml.org/doc/251249
ER -

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