A Reconstruction Algorithm for Fluorescence Molecular Tomography Based on the Total Least-Squares Rule and the Normalized Conjugate Gradient Method
- VernacularTitle:基于完全最小二乘原则及归一化共轭梯度法的荧光断层成像重建算法
- Author:
Shang SHANG
;
Jing BAI
;
Xiaolei SONG
;
Hongkai WANG
- Publication Type:Journal Article
- Keywords:
total least-squares rule;
normalized conjugate gradient method;
fluorescence molecular tomography;
image reconstruction algorithm
- From:Space Medicine & Medical Engineering
2006;0(04):-
- CountryChina
- Language:Chinese
-
Abstract:
Objective To find an efficient and practical reconstruction algorithm for the fluorescence molecular tomography basing on total leastsquares rule as well as the normalized conjugate gradient method.Methods The finite element method was used to get the weighting matrix from the forward diffusion model.For the inverse reconstruction problem,the total least-squares rule was employed.The normalized conjugate gradient method was applied to find the fluorochrome information in the objective area.Results The simulation experiments showed that images reconstructed by the total least-squares rule were more accurate than those reconstructed by the least-squares rule under the same circumstances when noise existed.The presented algorithm could also give consistent results when the initial guesses varied in a wide range.Conclusion The algorithm presented in this paper offers a practical and efficient reconstruction for the fluorescence molecular tomography.
