A filtered backprojection algorithm with characteristics of the iterative landweber algorithm
A filtered backprojection algorithm with characteristics of the iterative landweber algorithm
复制标题
DOI：
10.1118/1.3673956
复制
发表时间：
2012-02-01
期刊：
影响因子：
3.8
通讯作者：
Zeng, Gengsheng L.
中科院分区：
文献类型：
--
作者：
Zeng, Gengsheng L.
目的：为了最终开发一种具有迭代算法的噪声特性的分析算法，本技术说明开发了一种用于层析成像中的滤波反投影（FBP）算法的窗口函数，其表现为迭代Landweber algorithm.Methods：基于迭代Landweber算法的公式化，导出Landweber算法的每次迭代的频域窗口函数。所得到的窗口函数具有索引k，模拟Landweber算法在第k次迭代时的特性。结果：计算机模拟表明，窗函数指数为k的加窗FBP算法与迭代Landweber算法的迭代次数k的重建结果在分辨率和噪声方面基本相同。如果FBP算法中的斜坡滤波器被修改，则分析FBP算法能够提供与迭代Landweber算法类似的结果。一组专门设计的窗口函数。(C)2012年美国医学物理学家协会。[DOI：10.1118/1.3673956]
Purpose: In order to eventually develop an analytical algorithm with noise characteristics of an iterative algorithm, this technical note develops a window function for the filtered backprojection (FBP) algorithm in tomography that behaves as an iterative Landweber algorithm.Methods: Based on the formulation of the iterative Landweber algorithm, a frequency domain window function is derived for each iteration of the Landweber algorithm. The resultant window function has an index k, emulating the characteristics of the Landweber algorithm at the kth iteration. The window function is used to modify the ramp filter in the FBP algorithm.Results: Computer simulations show that the windowed FBP algorithm with window function index k and the iterative Landweber algorithm iteration number k give similar reconstructions in terms of resolution and noise.Conclusions: Analytical FBP algorithms are able to provide similar results to the iterative Landweber algorithm if the ramp filter in the FBP algorithm is modified by a set of specially designed window functions. (C) 2012 American Association of Physicists in Medicine. [DOI: 10.1118/1.3673956]