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本文根据电容层析成像 ECT(Electrical Capacitance Tomography)线性化了的电容与图像的关系 ,求出图像向量的广义逆最小模解。以试验数据对广义逆最小模解的图像重建能力进行研究。通过对广义逆最小模解、线性反投影法和迭代法三者的比较 ,了解了电容—图像线性方程的解不适宜电容层析图像重建的特点、线性反投影处理复杂物体分布图象的局限性 ,以及迭代法的优越性。同时发现了不加控制的迭代结果向广义逆最小模解结果趋进的现象
Based on the relationship between capacitance and image linearized by ECT (Electrical Capacitance Tomography), we obtain the generalized inverse minimum mode solution of image vector. The experimental data are used to study the image reconstruction ability of generalized inverse minimum modulus solution. By comparing the generalized inverse least-modulus solution, the linear backprojection method and the iterative method, we know that the capacitance-image linear equation is not suitable for the reconstruction of capacitive tomography image. The linear backprojection of complex object distribution image is limited Sex, as well as the superiority of iterative method. At the same time, it is found that the uncontrolled iterative result tends to the result of generalized inverse minimum modular solution