title: The application of subspace preconditioned LSQR algorithm for solving the electrocardiography inverse problem.
abstract: Regularization is an effective method for the solution of ill-posed ECG inverse problems, such as computing epicardial potentials from body surface potentials. The aim of this work was to explore more robust regularization-based solutions through the application of subspace preconditioned LSQR (SP-LSQR) to the study of model-based ECG inverse problems. Here, we presented three different subspace splitting methods, i.e., SVD, wavelet transform and cosine transform schemes, to the design of the preconditioners for ill-posed problems, and to evaluate the performance of algorithms using a realistic heart-torso model simulation protocol. The results demonstrated that when compared with the LSQR, LSQR-Tik and Tik-LSQR method, the SP-LSQR produced higher efficiency and reconstructed more accurate epcicardial potential distributions. Amongst the three applied subspace splitting schemes, the SVD-based preconditioner yielded the best convergence rate and outperformed the other two in seeking the inverse solutions. Moreover, when optimized by the genetic algorithms (GA), the performances of SP-LSQR method were enhanced. The results from this investigation suggested that the SP-LSQR was a useful regularization technique for cardiac inverse problems.
authors: The College of Electronics and Informatics, Zhejiang Sci-Tech University, Hangzhou 310018, China. peterjiang0517@163.com
authors: Mingfeng
authors: M
authors: Jiang
authors: Ling
authors: L
authors: Xia
authors: Wenqing
authors: W
authors: Huang
authors: Guofa
authors: G
authors: Shou
authors: Feng
authors: F
authors: Liu
authors: Stuart
authors: S
authors: Crozier
mesh_terms: D000465:Algorithms; D004562:Electrocardiography / Q000379:methods*; D012815:Signal Processing, Computer-Assisted