图像重建中滤波算子的一种优化方法

An Optimized Method of the Filter Operators in Image Reconstruction

目的 在图像重建过程中 ,通过滤波算子的优化 ,降低投影噪声对重建结果的影响 .方法 对“滤波 -重建 -滤波”的图像重建形式 ,用矩阵理论、最优化理论等数学方法两个滤波算子进行优化 .

Aim\ In the process of image reconstruction, the effect of projection noises on the reconstruction result can be reduced by the optimization of filter operators. Methods\ Using matrix theory and optimization theory in mathematics, the two filter operators in \!filter reconstruction filter\' are optimized.Results and Conclusion\ The optimized matrix expressions of the two filter operators are obtained.