多准则迭代卷积重建理论及实现

多准则迭代卷积重建是多目标决策下的Ｒａｄｏｎ变换求逆过程。我们从图像场的本质出发，设立反映图像场平滑性测度－熵函数、反映图像场的能量一平方范数及反映重建精度测试－投影响与重建图象的再投影之间的平方误差之和作为重建的三个性能测试。基于这些准则的多准则正则化方法是非适定图象重建一个有效的工具，从德国西门子公司实际ＣＴ投影数据的重建结果来看，多准则迭代卷积重建优于ＣＴ机用的卷积算法。

Multicriteris Iterative Convolution Reconstruction Theory and Its Implementation

Multicriteria iterative convolution reconstruction from Projections is to Aindan Unique adverse of Radon transform under multiobjective decision macing theory.We selectthreC Performance criteris,whiCh are an entropy fUnction of an adage-measure of the smoothness,square norm-measure of energy of the adage and reConstrUction accuracy-the sum ofsquared errors between the ordainal projection data and reprojection data due to the reconstructed adages as a measure of reconstructinn preformance, from the charaCteristiCS of the Annge fold.These criterin based multiCriteris regularhation is an effeient method for an ill-posedadage reconstultbo.The reconstructed adage by multiCriteris iterativ6 convolution is betterthan convolution method reconstruction from Germany St6mens CT scanner data.