| 样条函数和Tikhonov正则化方法在由投影重建图象中的应用 |
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| 引用本文： | 俞岚,徐问之,先武.样条函数和Tikhonov正则化方法在由投影重建图象中的应用[J].CT理论与应用研究,1993(3). |
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| 作者姓名： | 俞岚 徐问之 先武 |
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| 作者单位： | 重庆大学ICT研究所 630044
(俞岚，徐问之)，重庆大学ICT研究所 630044(先武) |
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| 摘 要： | 采用双三次B样条函数作为待重建函数的逼近,得到一般的线性代数方程组;采用Tkhonov正则化方法求解该方程组,获得待重建函数的正则解。算例表明,正则解有较好的精度,表明了本文方法的有效性。
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| 关 键 词： | 图象重建 样条函数 正则化方法 |
Application of Splines and Tikhonov Regularization in Image Reconstruction from Projections |
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| Yu Lan Xu Wenzhi Xian Wu.Application of Splines and Tikhonov Regularization in Image Reconstruction from Projections[J].Computerized Tomography Theory and Applications,1993(3). |
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| Authors: | Yu Lan Xu Wenzhi Xian Wu |
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| Abstract: | This paper uses double three order B splines as approximations of functionsto be reconstructed.Tikhonov regularization is employed to obtain a regular solution tothe image reconstruction from projections.Numerical results are given to show the effec-tiveness of this method. |
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| Keywords: | Image reconstruction Spline function Regularization method |
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