Noninvasive transmural electrophysiological imaging based on minimization of total-variation functional.
Noninvasive transmural electrophysiological imaging based on minimization of total-variation functional.
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基于总变化功能的最小化，无创的透射电生理成像。
DOI：
10.1109/tmi.2014.2324900
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发表时间：
2014-09
影响因子：
10.6
通讯作者：
Wang L
中科院分区：
文献类型：
--
作者：
Xu J;Dehaghani AR;Gao F;Wang L
虽然心脏结构和动力学的断层成像已经有了很大的改进，但心脏的电生理标测仍然局限于表面，下面的深度信息很少或没有。从表面电压数据重建3-D动作电位的进展一直受到阻碍的内在不适定性的问题，并缺乏一个独特的解决方案，在没有事先假设。在这项工作中，我们提出了一种新的适应的总变差（TV）之前，利用独特的空间特性的跨壁动作电位是分段平滑的陡峭的边界（梯度）分离去极化和复极化区域。我们提出了一个变分TV先验，而不是一个共同的离散TV先验，以提高鲁棒性网格分辨率，并解决了TV最小化的序列加权，一阶L2范数最小化。在一个大的幻影实验，所提出的方法被证明优于现有的二次方法，在保持陡峭的梯度动作电位沿着梗死的边界，以及在捕捉破坏的正常路径的电波阵面。真实数据的实验也进一步证明了所提出的方法在揭示梗死的位置和形状时，二次方法无法做到这一点的潜力。
While tomographic imaging of cardiac structure and kinetics has improved substantially, electrophysiological mapping of the heart is still restricted to the surface with little or no depth information beneath. The progress in reconstructing 3-D action potential from surface voltage data has been hindered by the intrinsic ill-posedness of the problem and the lack of a unique solution in the absence of prior assumptions. In this work, we propose a novel adaption of the total-variation (TV) prior to exploit the unique spatial property of transmural action potential of being piecewise smooth with a steep boundary (gradient) separating depolarized and repolarized regions. We present a variational TV-prior instead of a common discrete TV-prior for improved robustness to mesh resolution, and solve the TV-minimization by a sequence of weighted, first-order L2-norm minimization. In a large set of phantom experiments, the proposed method is shown to outperform existing quadratic methods in preserving the steep gradient of action potential along the border of infarcts, as well as in capturing the disruption to the normal path of electrical wavefronts. Real-data experiments also further demonstrate the potential of the proposed method in revealing the location and shape of infarcts when quadratic methods fail to do so.