Determination of space-dependent radiative properties in diffuse optical tomography using a wavelet multi-scale method

Eurotherm Conference 105: Computational Thermal Radiation in Participating Media V

物理学;计算机科学

Dubot, F.^1 ; Favennec, Y.^2 ; Rousseau, B.^2 ; Rousse, D.R.^1

Cha. t3e, École de Technologie Supérieure, Montréal, Canada^1

LTN UMR CNRS 6607, Université de Nantes, France^2

关键词: Diffuse approximations;    Diffuse optical tomography;    ILL-posed inverse problem;    Least square sense;    Optimization problems;    Participating media;    Radiative properties;    Wavelet multi-scale;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/676/1/012004/pdf
DOI  :  10.1088/1742-6596/676/1/012004

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

This paper deals with the estimation of radiative property distributions of participating media from a set of light sources and sensors located on the boundaries of a medium. This is the so-called diffuse optical tomography problem. Such a non-linear ill-posed inverse problem is solved through the minimization of a cost function which depends on the discrepancy, in a least-square sense, between some measurements and associated predictions. In the present case, predictions are based on the diffuse approximation model in the frequency domain while the optimization problem is solved by the L-BFGS algorithm. To cope with the local convergence property of the optimizer and the presence of numerous local minima in the cost function, a wavelet multi-scale method associated with the L-BFGS method is designed.