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

Biomedical Engineering

Research output: Contribution to conference › Abstract

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)
Pages	BSu3A.89
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

Conference

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

ASJC Scopus subject areas

Biotechnology
Atomic and Molecular Physics, and Optics

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10.1364/biomed.2012.bsu3a.89

Cite this

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title = "Bioluminescence tomography with a PDE-constrained algorithm based on the equation of radiative transfer",

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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AB - 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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T2 - Biomedical Optics, BIOMED 2012

Y2 - 28 April 2012 through 2 May 2012

ER -

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

Abstract

Conference

ASJC Scopus subject areas

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