The effects of geometric errors on inverse ECG solutions using Kalman filter and Bayesian MAP estimation

Umit Aydin, Y. Serinağaoğlu
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Abstract

Geometric errors in inverse ECG are usually the errors occur in the mathematical model used for solution due to wrong interpretation of heart's position and size, conductivities of organs in the model and electrode positions. In this study the effects of geometric errors in inverse ECG problem for Kalman filter and Bayes-MAP methods are studied. Furthermore the method suggested by Kaipio et. al., which assumes that these geometric errors are additive noise and independent of the epicardial potentials, is implemented. With this method, the effects of geometric errors on Kalman filter and Bayes-MAP solutions are reduced at the cost of smoothing the wavefront.
基于卡尔曼滤波和贝叶斯MAP估计的几何误差对心电反解的影响
逆心电图的几何误差通常是由于对心脏的位置和大小、模型中各器官的电导率和电极位置的错误解释而导致的求解数学模型的误差。本文研究了几何误差对卡尔曼滤波和贝叶斯- map方法心电反问题的影响。此外,采用Kaipio等人提出的方法,假设这些几何误差是加性噪声,与心外膜电位无关。该方法降低了几何误差对卡尔曼滤波和贝叶斯- map解的影响,但代价是平滑波前。
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