改进的图像重建迭代算法

张兆田; 张朋

改进的图像重建迭代算法

张兆田^①;张朋,
张朋

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出版历程
- 收稿日期: 2003-12-31
- 修回日期: 2004-04-09
- 刊出日期: 2004-10-19

An Algorithm for Improved Iterative Image Reconstruction

Zhang Zhao-tian^①;张朋,
Zhang Peng

摘要

摘要: 针对不完全数据图像重建问题,该文从积分方程角度提出一种改进的图像重建迭代算法(Im-proved Iterative Reprojection Reconstruction，IIRR)，并证明其在范数下收敛。该算法的图像重建收敛速度和重建图像误差依赖于引入的参数因子、已知的投影数据与图像的先验信息。重建图像可以表示为由已知投影数据所构成图像的级数形式。数值模拟结果表明，IIRR算法在不完全数据的情况下具有较好的图像重建能力。
- 图像重建; 迭代算法; 不完全数据
Abstract: An Improved Iterative Reprojection Reconstruction (IIRR) from a view of in-tegral equation for incomplete image reconstruction is presented in this paper. IIRR is convergence under L~2 norm. The convergent velocity and the error of the reconstructed image depend on the relaxed parameter, the detected data and some prior information on image. The reconstructed image can be expressed in term of a series of image reconstructed by the detected data. Numerical simulation also shows that IIRR is effective to image reconstruction.

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Papoulis A. A new algorithm in spectra analysis and band-limited signal extrapolation. IEEE Trans. on Circuits Syst., 1975, CAS-22(9): 735-742.[2]Papoulis A. Signal Analysis. New York: McGraw-Hill, 1977: 205-215.[3]Gerchberg R W. Super-resolution through error energy reduction. Opt. Acta, 1974, 21(9): 709-720.[4]Gerchberg R W, Saxton W O. A practical algorithm for the determination of phase from image and diffraction plane pictures. Optik, 1972, 35(2): 237-246.[5]Chamzas C, Xu W Y. An improved version of Papoulis-Gerchberg algorithm on band-limited extrapolation. IEEE Trans. on Acoustics, Speech. Signal Processing, 1984, ASSP-32(2): 437-440.[6]Xu W Y, Chamzas C. On the extrapolation of band-limited functions with energy constraints[J].IEEE Trans. on Acoustic, Speech Signal Processing.1983, 31(5):1222-1234[7]Sanz J L, Huang T S. Discrete and continuous band-limited signal extrapolation. IEEE Trans.on Acoustic, Speech Signal Processing, 1983, ASSP-31(5): 1276-1285.[8]Sato T, Norton S J, et al.. Tomographic image reconstruction from limited projections using iterative revisions in image and transform space[J].Applied Optics.1981, 20(3):395-399[9]Peng H, Stark H. One-step image reconstruction from incomplete data in computer tomography.IEEE Trans. on Medical Imaging, 1989, MI-8(1): 16-31.[10]Virador P R G, et al.. 3D reconstruction in PET cameras with irregular sampling and depth of interaction[J].IEEE Trans. on Nuclear Science.2001, 48(4):1524-1529[11]张兆田,邱佩璋.一类广义Radon变换的反演:迭代重建再投影的外插算法.CT理论与应用研究,1993,2(3):20-23.

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