体积导体的建模——双傅立叶级数近似与球谐展开

Proceedings of the 2nd International Conference on Bioelectromagnetism (Cat. No.98TH8269) Pub Date : 1998-02-15 DOI:10.1109/ICBEM.1998.666367

G. Lafer, P. Wach, B. Tilg

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引用次数: 0

摘要

提出了一种基于二阶曲面和双傅立叶级数联合逼近的边界曲面参数化描述方法。采用高斯变换确定最佳拟合参数。将该方法应用于求解生物电磁正反问题所需的体积导体模型的电导率界面的近似。将所得的拟合质量与采用表面谐波展开法模拟体积导体形状的拟合质量进行了比较。在这种情况下，通过非线性最小二乘拟合求出膨胀系数。

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Modeling the volume conductor-double Fourier series approximation versus spherical harmonic expansion

A method for parametric description of boundary surfaces based on combined second order surface and double Fourier series approximation is presented. Gauss transformation is used to determine the best fitting parameters. The method is applied to approximate the conductivity interfaces of volume conductor models needed for solving the bioelectromagnetic forward and inverse problem. The attained quality of fit was compared to that obtained applying the surface harmonic expansion for modeling the volume conductor shape. In that case, the coefficients of expansion are found by nonlinear least-squares fit.

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Proceedings of the 2nd International Conference on Bioelectromagnetism (Cat. No.98TH8269)

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