Bioluminescence tomography with a PDE-constrained algorithm based on the equation of radiative transfer

Hyun Keol Kim; Andreas H. Hielscher

doi:10.1364/biomed.2012.bsu3a.89

Bioluminescence tomography with a PDE-constrained algorithm based on the equation of radiative transfer

Hyun Keol Kim, Andreas H. Hielscher

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present the first bioluminescence tomography algorithm that makes use of the PDEconstrained concept, which has shown to lead to significant savings in computation times in similar applications. Implementing a sequential quadratic programming (SQP) method, we solve the forward and inverse problems simultaneously. Using numerical results we show that the PDEconstrained SQP approach leads to ~ 10 fold increase in convergence when compared to a standard unconstrained method.

Original language	English (US)
Title of host publication	Biomedical Optics, BIOMED 2012
Publisher	Optical Society of America (OSA)
Pages	BSu3A.89
ISBN (Print)	9781557529428
DOIs	https://doi.org/10.1364/biomed.2012.bsu3a.89
State	Published - 2012
Event	Biomedical Optics, BIOMED 2012 - Miami, FL, United States Duration: Apr 28 2012 → May 2 2012

Publication series

Name	Biomedical Optics, BIOMED 2012

Conference

Conference	Biomedical Optics, BIOMED 2012
Country	United States
City	Miami, FL
Period	4/28/12 → 5/2/12

ASJC Scopus subject areas

Biotechnology
Atomic and Molecular Physics, and Optics

Access to Document

10.1364/biomed.2012.bsu3a.89

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Cite this

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abstract = "We present the first bioluminescence tomography algorithm that makes use of the PDEconstrained concept, which has shown to lead to significant savings in computation times in similar applications. Implementing a sequential quadratic programming (SQP) method, we solve the forward and inverse problems simultaneously. Using numerical results we show that the PDEconstrained SQP approach leads to ~ 10 fold increase in convergence when compared to a standard unconstrained method.",

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