求解Radon变换改进Fourier算法的误差分析

张铁; 阎家斌

张铁, 阎家斌. 求解Radon变换改进Fourier算法的误差分析[J]. CT理论与应用研究, 2000, 9(1): 12-16.

引用本文:

张铁, 阎家斌. 求解Radon变换改进Fourier算法的误差分析[J]. CT理论与应用研究, 2000, 9(1): 12-16.

Zhang Tie, Yan Jiabin. The Error Analysis of Improved Fourier Algorithm for Solving Radon Transform[J]. CT Theory and Applications, 2000, 9(1): 12-16.

Citation:

Zhang Tie, Yan Jiabin. The Error Analysis of Improved Fourier Algorithm for Solving Radon Transform[J]. CT Theory and Applications, 2000, 9(1): 12-16.

求解Radon变换改进Fourier算法的误差分析

张铁,
阎家斌

The Error Analysis of Improved Fourier Algorithm for Solving Radon Transform

摘要

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。

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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