Improving the Accuracy of Laplacian Estimation with Novel Variable Inter-Ring Distances Concentric Ring Electrodes.
Improving the Accuracy of Laplacian Estimation with Novel Variable Inter-Ring Distances Concentric Ring Electrodes.
复制标题
通过新型可变间间距离同心环电极提高拉普拉斯估计的准确性。
DOI：
10.3390/s16060858
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发表时间：
2016-06-10
期刊：
影响因子：
--
通讯作者：
Besio WG
中科院分区：
文献类型：
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作者：
Makeyev O;Besio WG
无创同心圆电极是一种很有前途的替代传统圆盘电极。目前，三极性同心圆电极优于圆盘电极，特别是在拉普拉斯估计的准确性方面，已经在一系列应用中得到证明。在我们最近的工作中，我们已经证明了在多极同心环电极上，使用一种通用的方法来估计带有n个环的（n + 1）极电极的拉普拉斯算子，对于n≥2，使用（4n + 1）点法。本文提出了一种新的可变环间距离同心环电极，进一步改进了拉普拉斯估计。使用改进的（4n + 1）点法推导出线性增加和减少环间距离的三极（n = 2）和四极（n = 3）电极配置与它们的恒定环间距离对应物进行了比较。有限元方法的建模和分析结果是一致的，并且表明增加环间距离的电极配置可以减少截断误差，从而使拉普拉斯估计比相应的恒定环间距离配置更准确。对于目前使用的三极性电极配置，截断误差可能会减少两倍以上，而对于四极性配置，预计会减少六倍以上。
Noninvasive concentric ring electrodes are a promising alternative to conventional disc electrodes. Currently, the superiority of tripolar concentric ring electrodes over disc electrodes, in particular, in accuracy of Laplacian estimation, has been demonstrated in a range of applications. In our recent work, we have shown that accuracy of Laplacian estimation can be improved with multipolar concentric ring electrodes using a general approach to estimation of the Laplacian for an (n + 1)-polar electrode with n rings using the (4n + 1)-point method for n ≥ 2. This paper takes the next step toward further improving the Laplacian estimate by proposing novel variable inter-ring distances concentric ring electrodes. Derived using a modified (4n + 1)-point method, linearly increasing and decreasing inter-ring distances tripolar (n = 2) and quadripolar (n = 3) electrode configurations are compared to their constant inter-ring distances counterparts. Finite element method modeling and analytic results are consistent and suggest that increasing inter-ring distances electrode configurations may decrease the truncation error resulting in more accurate Laplacian estimates compared to respective constant inter-ring distances configurations. For currently used tripolar electrode configuration, the truncation error may be decreased more than two-fold, while for the quadripolar configuration more than a six-fold decrease is expected.