Effective and robust approach for fluorescence molecular tomography based on CoSaMP and SP3 model

Xiaowei He,Hongbo Guo,Xu Zhang,Yuqing Hou,Jingjing Yu

doi:10.1142/s1793545816500243

Abstract

Fluorescence molecular tomography (FMT) allows the detection and quantification of various biological processes in small animals in vivo, which expands the horizons of pre-clinical research and drug development. Efficient three-dimensional (3D) reconstruction algorithm is the key to accurate localization and quantification of fluorescent target in FMT. In this paper, 3D reconstruction of FMT is regarded as a sparse signal recovery problem and the compressive sampling matching pursuit (CoSaMP) algorithm is adopted to obtain greedy recovery of fluorescent signals. Moreover, to reduce the modeling error, the simplified spherical harmonics approximation to the radiative transfer equation (RTE), more specifically [Formula: see text], is utilized to describe light propagation in biological tissues. The performance of the proposed reconstruction method is thoroughly evaluated by simulations on a 3D digital mouse model by comparing it with three representative greedy methods including orthogonal matching pursuit (OMP), stagewise OMP(StOMP), and regularized OMP (ROMP). The CoSaMP combined with [Formula: see text] shows an improvement in reconstruction accuracy and exhibits distinct advantages over the comparative algorithms in multiple targets resolving. Stability analysis suggests that CoSaMP is robust to noise and performs stably with reduction of measurements. The feasibility and reconstruction accuracy of the proposed method are further validated by phantom experimental data.

Highlights

Fluorescence molecular tomography (FMT) is a sensitive and powerful whole body optical imaging approach
As an optical imaging modality, FMT has to cope with the fact that biological tissue is a highly scattering and absorbing medium
To evaluate the performance of the iterative compressive sampling matching pursuit (CoSaMP) algorithm, we compared it to several typical greedy algorithms, i.e., orthogonal matching pursuit (OMP), stagewise OMP (StOMP), and ROMP

Summary

Introduction

Fluorescence molecular tomography (FMT) is a sensitive and powerful whole body optical imaging approach. With specic °uorescence probe, FMT allows noninvasive detection and survey of molecular and cellular processes by accurately reconstructing three-dimensional (3D) distribution of the °uorescent targets. As an optical imaging modality, FMT has to cope with the fact that biological tissue is a highly scattering and absorbing medium. An accurate forward model of light transport is essential to reconstruct 3D distribution of the inside targets from the outside photon density detected on the surface. Di®usion approximation (DA) to the RTE is one of the most widely used forward models in cases with low absorption coe±cients or large geometries. When small tissue geometries and high light absorption are encountered, simplied spherical harmonics (SPN ) method can accurately model light propagation and overcome the limitations of DA.[8,9]

Methods

Results

Conclusion