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对一种较为严格的图像重构算法——广义逆法进行了推导,并在计算机有限元模型上实现了该算法,重构出了反映阻抗变化量的图像(即动态成像),并根据阻抗重构问题的特点,改进了现有的有限元计算机重构模型,在改进模型上实现了广义逆法。改进的模型与原有模型相比,其正向矩阵的病态性得到较大的改善。从重构结果上看,在改进模型上的广义逆法与现有算法——等位线法相比,成像定位更准确、图像更清晰,能较好的重构出阻抗分布复杂的模型,噪声性能也优于等位线法。
A more strict image reconstruction algorithm - generalized inverse method was deduced. The algorithm was implemented on the computer finite element model, and the image that reflects the variation of impedance was reconstructed (that is, dynamic imaging). According to the impedance Reconstruction of the characteristics of the problem, improve the existing finite element computer reconstruction model, the modified model to achieve the generalized inverse method. Compared with the original model, the improved model has greatly improved the morbidity of the forward matrix. From the reconstruction results, the generalized inverse method on the improved model is more accurate and the image is clearer than the existing algorithm, such as the equipotential line method, which can well reconstruct the model with complex impedance distribution. The noise Performance is also superior to the equipotential line method.