Fast reconstruction algorithm of magnetic particle imaging based on Kaczmarz algorithm
10.19745/j.1003-8868.2024002
- VernacularTitle:基于Kaczmarz算法的磁粒子成像快速重建算法研究
- Author:
Ji-Chao SHEN
1
;
Li KE
;
Shi BAI
Author Information
1. 沈阳工业大学电气工程学院,沈阳 110870
- Keywords:
magnetic particle imaging;
system matrix;
Kaczmarz algorithm;
block Kaczmarz algorithm;
image reconstruction;
cosine clustering
- From:
Chinese Medical Equipment Journal
2024;45(1):9-14
- CountryChina
- Language:Chinese
-
Abstract:
Objective To propose a Kaczmarz algorithm-based fast reconstruction method of magnetic particle imaging to solve the problems of magnetic particle tomography in prolonged imaging time and computational complexity.Methods Firstly,the convergence speeds of the classical Kaczmarz algorithm and its variant algorithms were analyzed,and the number of iterations and computational time under arbitrary matrices were calculated.Secondly,the abilities of Euclidean distance and cosine distance in differentiating system data were compared,and the cosine distance-based K-means algorithm was employed to enhance the computational capability of block Kaczmarz algorithm,shorten the system matrix reconstruction time,and ultimately fast reconstruction of magnetic particle imaging was realized.The effectiveness of the proposed algorithm was verified through computer simulation.Results The proposed algorithm reduced greatly the reconstruction time and improved the spatial resolution and quality of the reconstructed images.Conclusion The proposed algorithm enables fast reconstruction of magnetic particle imaging and behaves well in reconstruction of data containing noise.[Chinese Medical Equipment Journal,2024,45(1):9-14]
