基于灵敏度矩阵的直接三维ECTLandweber图像重建算法研究

ECT图像重建是一个非线性、欠定的和病态的逆问题。获得一个高质量的重建图像是很困难的，尤其是对于3D重建。图像重建算法的研究在ECT中是一个重要的研究内容。本文对基于灵敏度矩阵的直接三维ECTLandweber图像重建在不同迭代次数，有无门限等情况下进行了研究总结并给出了仿真结果。结果表明：对于landweber迭代算法进行重建时，迭代200次，固定门限为0．03的结果与原型最为接近。

Research on Three-dimensional ECTLandweber lmage Reconstruction Algorithm Directly Based on Sensitivity Matrix

Image reconstruction in ECT is a nonlinear, underdetermined and ill conditioned inverse problem. To obtain a high quality of the reconstructed image is very difficult, especially for 3D reconstruction. Research on image reconstruction algorithm is an important research content in ECT. This paper researches the direct 3D ECTLandweber image reconstruction based on a sensitivity matrix under the conditions of a number of different iterative and no threshold and the simulated results are given. The results show that for the Landweber iterative algorithm for reconstruction under the condition of 200 iterations and the fixed threshold of 0.03 the results are most close to those obtained with the prototype.