国家自然科学基金(60772041)

作品数：6被引量：4H指数：2
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相关作者：渠刚荣朱季云宋沛然更多>>
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Singularities of the Radon Transform of a Class of Piecewise Smooth Functions in R^2
《Acta Mathematicae Applicatae Sinica》2011年第2期191-208,共18页Gang-tong Qu 
supported by the National Natural Science Foundation of China(No.60772041 and 61071144)
A class of piecewise smooth functions in R2 is considered. The propagation law of the Radon transform of the function is derived. The singularities inversion formula of the Radon transform is derived from the propagat...
关键词：singularities of the Radon transform local Lipschitz continuous singularities inversion 
基于特殊窗函数的局部CT图像重建算法及其分析
《CT理论与应用研究（中英文）》2009年第3期1-9,共9页宋沛然 渠刚荣 
国家自然科学基金(60772041)
为了减少X射线对人体的伤害,局部图像重建成为人们研究的重点之一。本文研究了基于一种特殊窗函数的局部图像重建算法。通常,直接用局部区域的投影数据重建局部图像,会使重建图像产生常数偏移,我们将局部区域边缘的投影数据延拓为相应...
关键词：局部重建 误差分析 扇形束 特殊窗函数 
Landweber Iterative Methods for Angle-limited Image Reconstruction被引量：2
《Acta Mathematicae Applicatae Sinica》2009年第2期327-334,共8页Gang-rong Qu Ming Jiang 
Supported by the National Natural Science Foundation of China(No.60772041,60325101,60272018,60628102);the National Key Basic Research Special Foundation(2003CB716101),Ministry of Education(306017);Engineering Research Institute of Peking University,and Microsoft Research Asia.
We introduce a general iterative scheme for angle-limited image reconstruction based on Landwebet＇s method. We derive a representation formula for this scheme and consequently establish its convergence conditions. Ou...
关键词：The Landweber iteration angle-limited image reconstruction the selections of relaxation coefficients convolution-backprojection algorithm 
Singularities of the Radon Transform of a Class of Piecewise Smooth Functions in R^2
《数学进展》2008年第5期637-639,共3页渠刚荣 
the NSFC(No.60772041).
The Radon transform is the mathematical foundation of Computerized Tomography(CT). Its important applications includes medical CT,noninvasive test and etc.If one is specially interested in the places at which the imag...
关键词：数学理论 拉东变换 分段光滑 计算方法 奇点 
An Iterative Algorithm for Angle-limited Three-dimensional Image Reconstruction被引量：2
《Acta Mathematicae Applicatae Sinica》2008年第1期157-166,共10页Gang-rong Qu Yong-sheng Lan Ming Jiang 
G.R. Qu is partially supported by the National Natural Science Foundation of China (No. 60372015, 60772041) ;the Science Foundation of Beijing Jiaotong University (2002SM54);M. Jiang is partially supported by the National Key Basic Research Special Foundation of China (2003CB716101) ;National Science Foundation of China (60325101, 60272018, 60628102) ; Ministry of Education (306017), Engineering Research Institute of Peking University, and Microsoft Research Asia.
We establish an improved GP iterative algorithm for the extrapolation of band-limited function to fully 3-dimensional image reconstruction by the convolution-backprojection algorithm. Numerical experiments demonstrate...
关键词：Fully 3-dimensional image reconstruction convolution-back projection algorithm angle-limited image reconstruction 
一类带限函数的外推算法及在有限角图像重建中的应用
《北京交通大学学报》2007年第6期88-91,95,共5页朱季云 渠刚荣 
国家自然科学基金资助项目(60772041)
将带限函数的外推Gerchberg-Papoulis算法在维数和已知区域方面进行了推广,证明了推广的算法在L2范数下的收敛性,并应用于限制角图像重建.在一维情形下进行了数值模拟,验证了推广后算法的有效性.
关键词：带限函数外推 Gerchberg-Papoulis算法 限制图像重建 RADON变换 
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