Cerenkov luminescence tomography (CLT), as a promising optical molecular imaging modality, can be applied
to cancer diagnostic and therapeutic. Most researches about CLT reconstruction are based on the finite element
method (FEM) framework. However, the quality of FEM mesh grid is still a vital factor to restrict the accuracy
of the CLT reconstruction result. In this paper, we proposed a multi-grid finite element method framework,
which was able to improve the accuracy of reconstruction. Meanwhile, the multilevel scheme adaptive algebraic
reconstruction technique (MLS-AART) based on a modified iterative algorithm was applied to improve the
reconstruction accuracy. In numerical simulation experiments, the feasibility of our proposed method were
evaluated. Results showed that the multi-grid strategy could obtain 3D spatial information of Cerenkov source
more accurately compared with the traditional single-grid FEM.
The diffusion approximation of the radiative transport equation is the most widely used model in current researches on fluorescence molecular tomography (FMT), which is limited in some low or zero scattering regions. 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 FMT that combines the advantage of SPN model and hp-FEM. For comparison purposes, hp-FEM and h-FEM are respectively applied in the reconstruction process with diffusion model and SPN model. Simulation experiments on a 3D digital mouse atlas 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 DA model does. And the reconstructed results show the potential and feasibility of the proposed approach.