Open AccessAdaptive hp finite element method for fluorescence molecular tomography with simplified spherical harmonics approximation
Author(s) -
Hongbo Guo,
Yi Hou,
Xiaowei He,
Jingjing Yu,
Jingxing Cheng,
Xiaorong Pu
Publication year - 2014
Publication title -
journal of innovative optical health sciences/journal of innovation in optical health science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 24
eISSN - 1793-5458
pISSN - 1793-7205
DOI - 10.1142/s1793545813500570
Subject(s) - finite element method , spherical harmonics , imaging phantom , harmonics , tomography , heavy traffic approximation , wavelength , physics , materials science , computational physics , optics , mathematical analysis , mathematics , statistics , quantum mechanics , voltage , thermodynamics
Recently, the simplified spherical harmonics equations (SPN) model has attracted much attention in modeling the light propagation in small tissue geometries at visible and near-infrared wavelengths. In this paper, we report an efficient numerical method for fluorescence molecular tomography (FMT) that combines the advantage of SPN model and adaptive hp finite element method (hp-FEM). For purposes of comparison, hp-FEM and h-FEM are, respectively applied to the reconstruction process with diffusion approximation and SPN model. Simulation experiments on a 3D digital mouse atlas and physical experiments on a phantom are designed to evaluate the reconstruction methods in terms of the location and the reconstructed fluorescent yield. The experimental results demonstrate that hp-FEM with SPN model, yield more accurate results than h-FEM with diffusion approximation model does. The phantom experiments show the potential and feasibility of the proposed approach in FMT applications