Transport-theory based multispectral imaging with PDE-constrained optimization

Hyun K. Kim; Molly Flexman; Darrell J. Yamashiro; Jessica J. Kandel; Andreas H. Hielscher

doi:10.1117/12.875908

Transport-theory based multispectral imaging with PDE-constrained optimization

Hyun K. Kim, Molly Flexman, Darrell J. Yamashiro, Jessica J. Kandel, Andreas H. Hielscher

Biomedical Engineering

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

Abstract

We introduce here a transport-theory-based PDE-constrained multispectral imaging algorithm for direct reconstruction of the spatial distribution of chromophores in tissue. The method solves the forward and inverse problems simultaneously in the framework of a reduced Hessian sequential quadratic programming method. The performance of the new algorithm is evaluated using numerical and experimental studies involving tumor bearing mice. The results show that the PDE-constrained multispectral method leads to 15-fold acceleration in the image reconstruction of tissue chromophores when compared to the unconstrained multispectral approach and also gives more accurate results when compared to the traditional two-step method.

Original language	English (US)
Title of host publication	Optical Tomography and Spectroscopy of Tissue IX
DOIs	https://doi.org/10.1117/12.875908
State	Published - 2011
Event	Optical Tomography and Spectroscopy of Tissue IX - San Francisco, CA, United States Duration: Jan 23 2011 → Jan 26 2011

Publication series

Name	Progress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume	7896
ISSN (Print)	1605-7422

Conference

Conference	Optical Tomography and Spectroscopy of Tissue IX
Country/Territory	United States
City	San Francisco, CA
Period	1/23/11 → 1/26/11

Keywords

Multispectral imaging
pde-constrained optimization
radiative transfer equation

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Biomaterials
Atomic and Molecular Physics, and Optics
Radiology Nuclear Medicine and imaging

Access to Document

10.1117/12.875908

Cite this

Transport-theory based multispectral imaging with PDE-constrained optimization. / Kim, Hyun K.; Flexman, Molly; Yamashiro, Darrell J. et al.
Optical Tomography and Spectroscopy of Tissue IX. 2011. 78960W (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; Vol. 7896).

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

Kim, HK, Flexman, M, Yamashiro, DJ, Kandel, JJ & Hielscher, AH 2011, Transport-theory based multispectral imaging with PDE-constrained optimization. in Optical Tomography and Spectroscopy of Tissue IX., 78960W, Progress in Biomedical Optics and Imaging - Proceedings of SPIE, vol. 7896, Optical Tomography and Spectroscopy of Tissue IX, San Francisco, CA, United States, 1/23/11. https://doi.org/10.1117/12.875908

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title = "Transport-theory based multispectral imaging with PDE-constrained optimization",

abstract = "We introduce here a transport-theory-based PDE-constrained multispectral imaging algorithm for direct reconstruction of the spatial distribution of chromophores in tissue. The method solves the forward and inverse problems simultaneously in the framework of a reduced Hessian sequential quadratic programming method. The performance of the new algorithm is evaluated using numerical and experimental studies involving tumor bearing mice. The results show that the PDE-constrained multispectral method leads to 15-fold acceleration in the image reconstruction of tissue chromophores when compared to the unconstrained multispectral approach and also gives more accurate results when compared to the traditional two-step method.",

keywords = "Multispectral imaging, pde-constrained optimization, radiative transfer equation",

author = "Kim, {Hyun K.} and Molly Flexman and Yamashiro, {Darrell J.} and Kandel, {Jessica J.} and Hielscher, {Andreas H.}",

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AU - Kim, Hyun K.

AU - Flexman, Molly

AU - Yamashiro, Darrell J.

AU - Kandel, Jessica J.

AU - Hielscher, Andreas H.

PY - 2011

Y1 - 2011

N2 - We introduce here a transport-theory-based PDE-constrained multispectral imaging algorithm for direct reconstruction of the spatial distribution of chromophores in tissue. The method solves the forward and inverse problems simultaneously in the framework of a reduced Hessian sequential quadratic programming method. The performance of the new algorithm is evaluated using numerical and experimental studies involving tumor bearing mice. The results show that the PDE-constrained multispectral method leads to 15-fold acceleration in the image reconstruction of tissue chromophores when compared to the unconstrained multispectral approach and also gives more accurate results when compared to the traditional two-step method.

AB - We introduce here a transport-theory-based PDE-constrained multispectral imaging algorithm for direct reconstruction of the spatial distribution of chromophores in tissue. The method solves the forward and inverse problems simultaneously in the framework of a reduced Hessian sequential quadratic programming method. The performance of the new algorithm is evaluated using numerical and experimental studies involving tumor bearing mice. The results show that the PDE-constrained multispectral method leads to 15-fold acceleration in the image reconstruction of tissue chromophores when compared to the unconstrained multispectral approach and also gives more accurate results when compared to the traditional two-step method.

KW - Multispectral imaging

KW - pde-constrained optimization

KW - radiative transfer equation

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M3 - Conference contribution

AN - SCOPUS:79955742867

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T3 - Progress in Biomedical Optics and Imaging - Proceedings of SPIE

BT - Optical Tomography and Spectroscopy of Tissue IX

T2 - Optical Tomography and Spectroscopy of Tissue IX

Y2 - 23 January 2011 through 26 January 2011

ER -

Transport-theory based multispectral imaging with PDE-constrained optimization

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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