NEW DEVELOPMENTS IN FREQUENCY DOMAIN OPTICAL TOMOGRAPHY. PART I. FORWARD MODEL AND GRADIENT COMPUTATION

被引：0

作者：

Balima, Olivier ^{[1
]}

Boulanger, Joan ^{[2
]}

Charette, Andre ^{[1
]}

Marceau, Daniel ^{[1
]}

机构：

[1] Univ Quebec Chicoutimi, 555 Bd Univ, Chicoutimi, PQ G7H 2B1, Canada

[2] CNR, Ottawa, ON K1A 0R6, Canada

来源：

VI. PROCEEDINGS OF THE 6TH INTERNATIONAL SYMPOSIUM ON RADIATIVE TRANSFER (RADIATIVE TRANSFER) | 2010年

基金：

加拿大自然科学与工程研究理事会;

关键词：

MODAL IDENTIFICATION METHOD; RADIATIVE-TRANSFER; FORMULATIONS; REDUCTION; EQUATION;

D O I：

暂无

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This paper deals with a gradient-based frequency domain optical tomography method where the collimated source direction is taken into account in the computation of both the forward and the adjoint models. The forward model is based on the least square finite element method associated to the discrete ordinates method where no empirical stabilization is needed. In this first part of the study, the forward model is highlighted with an easy handling of complex boundary condition through a penalization method. Gradient computation from an adjoint method is developed rigorously in a continuous manner through a Lagrangian formalism for the deduction of the adjoint equation and the gradient of the objective function. The proposed formulation can be easily generalized to stationary and time domain optical tomography by keeping the same expressions.

引用

页数：10

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