Abstract
In this paper, two hybrid regularization frameworks, LSQR-Tik and Tik-LSQR, which integrate the properties of the direct regularization method (Tikhonov) and the iterative regularization method (LSQR), have been proposed and investigated for solving ECG inverse problems. The LSQR-Tik method is based on the Lanczos process, which yields a sequence of small bidiagonal systems to approximate the original ill-posed problem and then the Tikhonov regularization method is applied to stabilize the projected problem. The Tik-LSQR method is formulated as an iterative LSQR inverse, augmented with a Tikhonov-like prior information term. The performances of these two hybrid methods are evaluated using a realistic heart-torso model simulation protocol, in which the heart surface source method is employed to calculate the simulated epicardial potentials (EPs) from the action potentials (APs), and then the acquired EPs are used to calculate simulated body surface potentials (BSPs). The results show that the regularized solutions obtained by the LSQR-Tik method are approximate to those of the Tikhonov method, the computational cost of the LSQR-Tik method, however, is much less than that of the Tikhonov method. Moreover, the Tik-LSQR scheme can ...Continue Reading
References
Nov 1, 1985·IEEE Transactions on Bio-medical Engineering·Y Yamashita, D B Geselowitz
Jul 1, 1995·Journal of Cardiovascular Electrophysiology·H D Simms, D B Geselowitz
Feb 1, 1996·IEEE Transactions on Bio-medical Engineering·L Weixue, X Ling
Jan 1, 1997·IEEE Transactions on Bio-medical Engineering·P R Johnston, R M Gulrajani
Jan 1, 1997·Critical Reviews in Biomedical Engineering·C R Johnson
Oct 15, 1998·IEEE Engineering in Medicine and Biology Magazine : the Quarterly Magazine of the Engineering in Medicine & Biology Society·R M Gulrajani
Mar 26, 1999·Computer Methods and Programs in Biomedicine·G FischerH Nowak
Sep 29, 2000·IEEE Transactions on Bio-medical Engineering·P R Johnston, R M Gulrajani
Oct 4, 2000·Annals of Biomedical Engineering·C P BradleyP J Hunter
Jan 6, 2001·Annals of Biomedical Engineering·G FischerP Wach
Jan 5, 2002·Annals of Biomedical Engineering·A J PullanD J Paterson
Mar 6, 2003·IEEE Transactions on Bio-medical Engineering·Leo K ChengAndrew J Pullan
Aug 16, 2003·Annals of Biomedical Engineering·Charulatha RamanathanYoram Rudy
Mar 23, 2004·Nature Medicine·Charulatha RamanathanYoram Rudy
Feb 22, 2005·Computer Methods and Programs in Biomedicine·M SegerB Tilg
Mar 12, 2005·The Journal of the Acoustical Society of America·Nicolas Valdivia, Earl G Williams
Apr 9, 2005·Physics in Medicine and Biology·Ling XiaStuart Crozier
Feb 17, 2006·Physics in Medicine and Biology·Jan KybicThéo Papadopoulo
Jun 30, 2006·Annals of Biomedical Engineering·Yong Wang, Yoram Rudy
Feb 16, 2007·Physics in Medicine and Biology·Mingfeng JiangMin Tang
Citations
Jul 1, 2009·Medical Engineering & Physics·Mingfeng JiangStuart Crozier
Aug 8, 2015·International Journal for Numerical Methods in Biomedical Engineering·Elisa SchenoneJean-Frédéric Gerbeau
Dec 1, 2012·Computational and Mathematical Methods in Medicine·Mingfeng JiangHuaxiong Zhang
Mar 31, 2015·Physics in Medicine and Biology·Mingfeng JiangYinglan Gong
Feb 25, 2011·Physics in Medicine and Biology·Mingfeng JiangStuart Crozier