Title :
Combination of Boundary Element Method and Finite Element Method in Diffuse Optical Tomography
Author :
Elisee, Josias Pierrick ; Gibson, Adam ; Arridge, Simon
Author_Institution :
Dept. of Comput. Sci., Univ. Coll. London, London, UK
Abstract :
This paper presents a new numerical method for optical tomography: the combined boundary element/finite element method (BEM-FEM), designed to tackle reconstructions in layered turbid media. The BEM-FEM focuses on the region of interest by creating a volume mesh and reconstructing in this region only. All other regions are treated as piecewise constant in a surface-integral approach. We validate the model in concentric spheres, with different positions of the volume-integral treated area and found it compared well with an analytical result. We then performed functional imaging of the neonate´s motor cortex in vivo, in a reconstruction restricted to the brain, both with FEM and BEM-FEM. These results show the effectiveness of the BEM-FEM in situations where the organ of interest is surrounded by superficial layers.
Keywords :
boundary-elements methods; brain models; finite element analysis; image reconstruction; medical image processing; optical tomography; BEM; FEM; boundary element method; brain; diffuse optical tomography; finite element method; functional imaging; image reconstruction; neonate motor cortex; organ; superficial layers; volume mesh; Boundary element methods; Brain modeling; Design methodology; Finite element methods; Image reconstruction; Optical design; Optical imaging; Surface reconstruction; Surface treatment; Tomography; Boundary element method (BEM); diffusion approximation (DA); finite element method (FEM); inverse problems; optical tomography;
Journal_Title :
Biomedical Engineering, IEEE Transactions on
DOI :
10.1109/TBME.2010.2055868
