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Total Variation Regularization in Electrocardiographs Mapping

机译:心电图仪映射中的总变化正则化

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摘要

Electrocardiographic mapping (ECGM) is to estimate the cardiac activities from the measured body surface potentials (BSPs), in which the epicar-dial potentials (EPs) is often reconstructed. One of the challenges in ECGM problem is its ill-posedness, and regularization techniques are needed to obtain the clinically reasonable solutions. The total variation (TV) method has been validated in keeping the sharp edges and has found some preliminary applications in ECG inverse problem. In this study, we applied and compared two algorithms: lagged diffusivity (LD) fixed point iteration and primal dual-interior point method (PD-IPM), to implement TV regularization method in ECGM problem. With a realistic heart-lung-torso model, the TV methods are tested and compared to the L2-norm regularization methods in zero- and first-order. The simulation results demonstrate that the TV method can generate better EPs compared to the zero-order Tikhonov method. Compared to the first-order Tik-honov method, the TV's results are much sharper. For the two algorithms in TV method, the LD algorithm seems more robust than the PD-IPM in ECGM problem, though the PD-IPM converges faster.
机译:心电图映射(ECGM)是从测量的体表电位(BSP)中估计心脏活动,其中通常重建EPICAR拨号电位(EPS)。 ECGM问题的挑战之一是其不良良好,并且需要进行正则化技术来获得临床合理的解决方案。总变化(电视)方法已被验证,以保持尖锐的边缘并在ECG逆问题中发现了一些初步应用。在本研究中,我们应用和比较了两种算法:滞后扩散率(LD)固定点迭代和原始双内部点法(PD-IPM),在ECGM问题中实现电视正则化方法。通过逼真的心肺躯干模型,测试电视方法并与零级和一阶的L2-Norm正规方法进行了测试。仿真结果表明,与零阶Tikhonov方法相比,电视方法可以产生更好的EPS。与一阶Tik-Honov方法相比,电视的结果更加锐利。对于TV方法中的两个算法,LD算法似乎比ECGM问题中的PD-IPM更强大,但PD-IPM会更快地收敛。

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