求解Radon变换改进Fourier算法的误差分析
The Error Analysis of Improved Fourier Algorithm for Solving Radon Transform
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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。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.