Born expansion and numerical implementation of diffuse optical tomography

Kiwoon Kwon

doi:10.1063/1.4825884

Born expansion and numerical implementation of diffuse optical tomography

Kiwoon Kwon

Department of Mathematics

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

Abstract

Diffuse Optical Tomography (DOT) is a nonlinear optimization problem to find optical coefficients using nearinfrared light. Linearized methods was used by many researchers to avoid the nonlinearity of DOT. In this paper, the nonlinearity of DOT is studied using Born expansion and some second and higher order inverse Born approximation methods is suggested.

Original language	English
Title of host publication	11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
Pages	1831-1832
Number of pages	2
DOIs	https://doi.org/10.1063/1.4825884
State	Published - 2013
Event	11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 - Rhodes, Greece Duration: 21 Sep 2013 → 27 Sep 2013

Publication series

Name	AIP Conference Proceedings
Volume	1558
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
Country/Territory	Greece
City	Rhodes
Period	21/09/13 → 27/09/13

Keywords

Born approximation
Born expansion
Diffuse Optical Tomography

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10.1063/1.4825884

Cite this

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title = "Born expansion and numerical implementation of diffuse optical tomography",

abstract = "Diffuse Optical Tomography (DOT) is a nonlinear optimization problem to find optical coefficients using nearinfrared light. Linearized methods was used by many researchers to avoid the nonlinearity of DOT. In this paper, the nonlinearity of DOT is studied using Born expansion and some second and higher order inverse Born approximation methods is suggested.",

keywords = "Born approximation, Born expansion, Diffuse Optical Tomography",

author = "Kiwoon Kwon",

year = "2013",

doi = "10.1063/1.4825884",

language = "English",

isbn = "9780735411845",

series = "AIP Conference Proceedings",

pages = "1831--1832",

booktitle = "11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013",

note = "11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 ; Conference date: 21-09-2013 Through 27-09-2013",

}

Kwon, K 2013, Born expansion and numerical implementation of diffuse optical tomography. in 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013. AIP Conference Proceedings, vol. 1558, pp. 1831-1832, 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013, Rhodes, Greece, 21/09/13. https://doi.org/10.1063/1.4825884

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T1 - Born expansion and numerical implementation of diffuse optical tomography

AU - Kwon, Kiwoon

PY - 2013

Y1 - 2013

N2 - Diffuse Optical Tomography (DOT) is a nonlinear optimization problem to find optical coefficients using nearinfrared light. Linearized methods was used by many researchers to avoid the nonlinearity of DOT. In this paper, the nonlinearity of DOT is studied using Born expansion and some second and higher order inverse Born approximation methods is suggested.

AB - Diffuse Optical Tomography (DOT) is a nonlinear optimization problem to find optical coefficients using nearinfrared light. Linearized methods was used by many researchers to avoid the nonlinearity of DOT. In this paper, the nonlinearity of DOT is studied using Born expansion and some second and higher order inverse Born approximation methods is suggested.

KW - Born approximation

KW - Born expansion

KW - Diffuse Optical Tomography

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U2 - 10.1063/1.4825884

DO - 10.1063/1.4825884

M3 - Conference contribution

AN - SCOPUS:84887524615

SN - 9780735411845

T3 - AIP Conference Proceedings

SP - 1831

EP - 1832

BT - 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013

T2 - 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013

Y2 - 21 September 2013 through 27 September 2013

ER -

Born expansion and numerical implementation of diffuse optical tomography

Abstract

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Conference

Keywords

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