X射线CT模型及重建算法

Models and Reconstruction Algorithms for X-Ray Computer Tomography

该文从系统论的观点出发,将由投影重建图像中的变换看成空间变化的动态系统模型。基于所建立的连续模型,首先对传统算法的优劣点作了分析比较,接着介绍了基于小波的多分辨分析在图像层析重建中的运用及发展;基于离散模型,从信息论的角度将级数展开法归于单目标优化成像算法,同时介绍了多目标优化理论并对其中多目标熵优化理论的最新发展作了着重探讨。

Derived from the viewpoint of system theory,transformations of image reconstruction from projections are replaced with the spatial variant dynamic system models in this paper.Based on the continuous model,the advantages and disadvantages of the traditional algorithms are discussed,then the application of the multiresolution tomography based on wavelet theory and its developments in the image reconstruction are introduced;Based on the discrete model,series expansion methods are regarded as the single-objective optimization from the viewpoint of information theory and then multiobjective optimization is introduced and the latest developments of vector-entropy optimization are paid more attention.