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改进的图像重建迭代算法

张兆田 张朋

张兆田, 张朋. 改进的图像重建迭代算法[J]. 电子与信息学报, 2004, 26(10): 1626-1630.
引用本文: 张兆田, 张朋. 改进的图像重建迭代算法[J]. 电子与信息学报, 2004, 26(10): 1626-1630.
Zhang Zhao-tian, Zhang Peng. An Algorithm for Improved Iterative Image Reconstruction[J]. Journal of Electronics and Information Technology, 2004, 26(10): 1626-1630.
Citation: Zhang Zhao-tian, Zhang Peng. An Algorithm for Improved Iterative Image Reconstruction[J]. Journal of Electronics and Information Technology, 2004, 26(10): 1626-1630.

改进的图像重建迭代算法

An Algorithm for Improved Iterative Image Reconstruction

  • 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。
  • 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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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

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