Influence investigation of a void region on modeling light propagation in a heterogeneous medium

Defu Yang; Xueli Chen; Shenghan Ren; Xiaochao Qu; Jie Tian; Jimin Liang

doi:10.1364/AO.52.000400

Applied Optics
Vol. 52,
Issue 3,
pp. 400-408
(2013)
•https://doi.org/10.1364/AO.52.000400

Influence investigation of a void region on modeling light propagation in a heterogeneous medium

Defu Yang, Xueli Chen, Shenghan Ren, Xiaochao Qu, Jie Tian, and Jimin Liang

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Defu Yang, Xueli Chen, Shenghan Ren, Xiaochao Qu, Jie Tian, and Jimin Liang, "Influence investigation of a void region on modeling light propagation in a heterogeneous medium," Appl. Opt. 52, 400-408 (2013)

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- Medical Optics and Biotechnology
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About this Article
History
- Original Manuscript: August 6, 2012
- Revised Manuscript: November 20, 2012
- Manuscript Accepted: December 12, 2012
- Published: January 11, 2013
Virtual Issues
Virtual Journal for Biomedical Optics Vol. 8, Iss. 2

Abstract

A void region exists in some biological tissues, and previous studies have shown that inaccurate images would be obtained if it were not processed. A hybrid radiosity–diffusion method (HRDM) that couples the radiosity theory and the diffusion equation has been proposed to deal with the void problem and has been well demonstrated in two-dimensional and three-dimensional (3D) simple models. However, the extent of the impact of the void region on the accuracy of modeling light propagation has not been investigated. In this paper, we first implemented and verified the HRDM in 3D models, including both the regular geometries and a digital mouse model, and then investigated the influences of the void region on modeling light propagation in a heterogeneous medium. Our investigation results show that the influence of the region can be neglected when the size of the void is less than a certain range, and other cases must be taken into account.

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Experiment No.	Tissue	Center	Radius	$μ_{a} ({mm}^{- 1})$	$μ_{s}^{'} ({mm}^{- 1})$
1	$T_{1}$	(0, 0, 0)	(10, 10, 10)	0.05	1.2273
	Void	(0, 0, 0)	(4–7, 4–7, 4–7)	0.5	0.000001
	$S$	(2, 0, 0)	(1, 1, 1)	0.05	1.2273
2	$T_{1}$	(0, 0, 0)	(10, 10, 10)	0.05	1.2273
	Void	(3, 0, 0)	(4, 4, 4)	0.5	0.000001
	$S$	( $- 3$ , 0, 0)	(1, 1, 1)	0.05	1.2273
3	$T_{1}$	(0, 0, 0)	(10, 10, 10)	0.0049	1.2273
	Void	( $- 6$ , 0, 0)	(3, 4, 3)	0.05	0.0000001
	$T_{2}$	(0, $- 6$ , 0)	(2, 2, 8)	0.1021	2.4144
	$T_{3}$	(3, 3, 0)	(5, 5, 5)	0.2630	2.2091
	$S$	(3, 3, 0)	(1, 1, 1)	0.2630	2.2091

Experiment No.	ARE	CS
1	0.0128	0.9969
2	0.0110	0.9976
3	0.0160	0.9936

Tissue	Muscle	Heart	Stomach	Kidney	Lung
$μ_{a}$	0.09428	0.07859	0.01504	0.08811	0.26296
$μ_{s}^{'}$	2.29425	1.00656	0.0000001	2.35851	3.6818

Experiment No.	Void Size (mm)	MOSE versus DE	MOSE versus HRDM
a	0.6	0.0083	0.0223
b	0.8	0.0302	0.0236
c	1.0	0.0470	0.0237
d	1.2	0.0555	0.0220
e	1.4	0.0668	0.0245
f	3.0	0.1313	0.0230

Experiment No.	Tissue	Center	Radius	$μ_{a} ({mm}^{- 1})$	$μ_{s}^{'} ({mm}^{- 1})$
1	$T_{1}$	(0, 0, 0)	(10, 10, 10)	0.05	1.2273
	Void	(0, 0, 0)	(4–7, 4–7, 4–7)	0.5	0.000001
	$S$	(2, 0, 0)	(1, 1, 1)	0.05	1.2273
2	$T_{1}$	(0, 0, 0)	(10, 10, 10)	0.05	1.2273
	Void	(3, 0, 0)	(4, 4, 4)	0.5	0.000001
	$S$	( $- 3$ , 0, 0)	(1, 1, 1)	0.05	1.2273
3	$T_{1}$	(0, 0, 0)	(10, 10, 10)	0.0049	1.2273
	Void	( $- 6$ , 0, 0)	(3, 4, 3)	0.05	0.0000001
	$T_{2}$	(0, $- 6$ , 0)	(2, 2, 8)	0.1021	2.4144
	$T_{3}$	(3, 3, 0)	(5, 5, 5)	0.2630	2.2091
	$S$	(3, 3, 0)	(1, 1, 1)	0.2630	2.2091

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Applied Optics