Advanced Search
Volume 26 Issue 10
Oct.  2004
Turn off MathJax
Article Contents
Zhang Zhao-tian, Zhang Peng. An Algorithm for Improved Iterative Image Reconstruction[J]. Journal of Electronics & Information Technology, 2004, 26(10): 1626-1630.
Citation: Zhang Zhao-tian, Zhang Peng. An Algorithm for Improved Iterative Image Reconstruction[J]. Journal of Electronics & Information Technology, 2004, 26(10): 1626-1630.

An Algorithm for Improved Iterative Image Reconstruction

  • Received Date: 2003-12-31
  • Rev Recd Date: 2004-04-09
  • Publish Date: 2004-10-19
  • 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.
  • loading
  • 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.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2573) PDF downloads(1033) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return