Reconstruction of tomographic images using analog projections and the digital Radon transform

被引:37
作者
Svalbe, I [1 ]
van der Spek, D
机构
[1] Monash Univ, Sch Phys & Mat Engn, Melbourne, Vic 3800, Australia
[2] Abovelt, The Hague, Netherlands
[3] Delft Univ Technol, Delft, Netherlands
基金
澳大利亚研究理事会;
关键词
tomographic reconstruction; Radon transform; discrete image processing;
D O I
10.1016/S0024-3795(01)00487-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The digital Radon transform (DRT) can be adapted to reconstruct images from analog projection data. This new technique is a variation of the conventional back-projection method. It requires no pre-filtering of the projection data, straightforward ID linear interpolation and some simple sorting of projection samples. The DRT enables the use of a form of block-data copy for the reconstruction, which is fast in comparison to the usual methods of back-projection. To obtain reconstructed images of high quality, further intrinsic interpolation is required; the reconstructed image size has to be several times larger than the number of projection samples. We describe an algorithm to convert analog projection data into a form suitable to apply the DRT. We compare the performance of the "standard" DRT and a hybrid version of the DRT to some conventional reconstruction algorithms. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:125 / 145
页数:21
相关论文
共 12 条
  • [1] BARRET HH, 1981, RADIOLOGICAL IMAGING, V2
  • [2] DISCRETE RADON-TRANSFORM
    BEYLKIN, G
    [J]. IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1987, 35 (02): : 162 - 172
  • [3] ANALYSIS OF ERROR IN RECONSTRUCTION OF TWO-DIMENSIONAL SIGNALS FROM IRREGULARLY SPACED SAMPLES
    CHEN, DS
    ALLEBACH, JP
    [J]. IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1987, 35 (02): : 173 - 180
  • [4] IMAGE-RECONSTRUCTION FROM LINOGRAMS - IMPLEMENTATION AND EVALUATION
    EDHOLM, P
    HERMAN, GT
    ROBERTS, DA
    [J]. IEEE TRANSACTIONS ON MEDICAL IMAGING, 1988, 7 (03) : 239 - 246
  • [5] FAST ALGORITHMS FOR THE MULTIDIMENSIONAL DISCRETE FOURIER-TRANSFORM
    GUESSOUM, A
    MERSEREAU, RM
    [J]. IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1986, 34 (04): : 937 - 943
  • [6] THE NUMBER OF DIGITAL STRAIGHT-LINES ON AN NXN GRID
    KOPLOWITZ, J
    LINDENBAUM, M
    BRUCKSTEIN, A
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (01) : 192 - 197
  • [7] IMAGE REPRESENTATIONS VIA A FINITE RADON-TRANSFORM
    MATUS, F
    FLUSSER, J
    [J]. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1993, 15 (10) : 996 - 1006
  • [8] Salzberg PM, 1999, APPL NUM HARM ANAL, P417
  • [9] COMPUTING PROJECTIONS OF DIGITAL IMAGES IN IMAGE-PROCESSING PIPELINE ARCHITECTURES
    SANZ, JLC
    HINKLE, EB
    [J]. IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1987, 35 (02): : 198 - 207
  • [10] SOM S, 1995, DIGITAL IMAGE COMPUT, P408