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A new forward model for diffuse optical tomography

JUN
24
2019
24. JUN 2019

Poster Hall B0 European Conferences on Biomedical Optics (ECBO) > Diffuse Optical Spectroscopy and Imaging > Lunch Break and Poster Session - Monday

12:45-14:15 h | Hall B0 Hall B0, ICM

Subjects: Biophotonics and Medical Engineering

Type: Poster

Speech: English

In diffuse optical tomography (DOT), the diffusion equation (DE) is frequently used to model the light propagation in the medium. A general approach to solve the DE analytically is to apply the Green function but the solution only exists for homogeneous objects. For more complex DOT geometries, the finite element method (FEM) is normally employed to discretize the DE. However, FEM is limited in acquiring higher order accuracy when higher order basis (shape) functions are involved. Currently the differential operators in the DE are based on the classical local vector calculus. In this paper, by using the concepts of differential operators under the nonlocal vector calculus, we propose a nonlocal diffusion equation (NDE) as a new forward model to accurately describe light propagation in a turbid medium. A graph-based numerical method (GNM) is developed for the proposed NDE. We evaluate the proposed forward model on a semi-infinite homogeneous slab where the analytical solution exists. We perform a systematic comparison between the forward model based on GNM and the analytical solution. The comparison considers: i) the photon boundary flux at each detector; ii) the photon fluence rate at each vertex. Our experiments show that the results of the NDE (discretized by GNM) is quantitatively comparable to the analytical solution. The proposed forward model has an identical implementation for geometries in two and three dimensions due to the nature of the graph representation.

Informations

Location

Eingang
Nord-West
ICM
Eingang
Nord
Eingang
West
Atrium
Eingang
Nord-Ost
Eingang
Ost
Conference
Center Nord
Freigelände
C1
C2
C3
C4
C5
C6
B0
B1
B2
B3
B4
B5
B6
A1
A2
A3
A4
A5
A6

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