| 求解Radon变换改进Fourer算法的误差分析 |
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| 引用本文： | 张铁 阎家斌. 求解Radon变换改进Fourer算法的误差分析[J]. CT理论与应用研究, 2000, 9(1): 12-16 |
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| 作者姓名： | 张铁 阎家斌 |
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| 作者单位： | 东北大学数学系!沈阳110006 |
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| 摘 要： | 本文将对求解Ｒａｄｏｎ变换的改进Ｆｏｕｒｉｅｒ算法进行误差分析，证明了在Ｌ２范数下改进Ｆｏｕｒｉｅｒ算法是收敛的且具有Ｏ（１／ｑ）敛阶，其中２ｑ为像素点矩陈阶数。
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| 关 键 词： | Radon变换 改进Fourier 误差分析 |
| 修稿时间： | 2000-01-07 |
The Error Analysis of Improved Fourier Algorithm for Solving Radon Transform |
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| Zhang Tie and Yan Jiabin. The Error Analysis of Improved Fourier Algorithm for Solving Radon Transform[J]. Computerized Tomography Theory and Applications, 2000, 9(1): 12-16 |
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| Authors: | Zhang Tie and Yan Jiabin |
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| Abstract: | In this paper, we will carry out the error analysis of improved Fourier algorithm for solving Radon transform. We prove that the improved Fourier algorithm is convergence under L2 norm with a convergence rater of O(1/q), Where 2q is the order of picture element matrix. |
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| Keywords: | Radon transform improved Fourier algorithm error analysis |
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