Abstract

The operational procedures for efficiently reconstructing the two-dimensional image of a body by the filtered back projection are described in this paper. The projections are interpolated for four times of original projection by zero-padding the original projection in frequency-domain and then inverse fast Fourier transform (FFT) is taken to improve accuracy. Nearest interpolation is applied to decrease operation time. Projection dependence of next pixel at the same row is used. For each row of image, the first pixel projection once for each angle is pre-computed, other pixel projection of this row can be found by iteration. Therefore, the pre-interpolation process only has to be performed once for each row, rather than individually for each pixel. It greatly reduces the amount of computation. Compared with original implementation, the speed of reconstruction image is nearly improved by five times. The image accuracy is still preserved.

© 2005 Chinese Optics Letters

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  2. P. Zhang and Z. T. Zhang, Computerized Tomography Theory and Application (in Chinese) 10, (4) 4 (2001).
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  4. S. Basu and Y. Bresler, IEEE Trans. Med. Imaging 9, 1760 (2000).
  5. S. Mate and I. Bajla, IEEE Trans. Image Processing 9, 421 (1990).
  6. T. Zhang and J. B. Yan, Computerized Tomography Theory and Application (in Chinese) 9, (1) 13 (2000).

2000

S. Basu and Y. Bresler, IEEE Trans. Med. Imaging 9, 1760 (2000).

1993

I. Agi, P. J. Hurst, and K. W. Current, IEEE J. Solid State Circuits 28, 210 (1993).

1990

S. Mate and I. Bajla, IEEE Trans. Image Processing 9, 421 (1990).

Agi, I.

I. Agi, P. J. Hurst, and K. W. Current, IEEE J. Solid State Circuits 28, 210 (1993).

Bajla, I.

S. Mate and I. Bajla, IEEE Trans. Image Processing 9, 421 (1990).

Basu, S.

S. Basu and Y. Bresler, IEEE Trans. Med. Imaging 9, 1760 (2000).

Bresler, Y.

S. Basu and Y. Bresler, IEEE Trans. Med. Imaging 9, 1760 (2000).

Current, K. W.

I. Agi, P. J. Hurst, and K. W. Current, IEEE J. Solid State Circuits 28, 210 (1993).

Hurst, P. J.

I. Agi, P. J. Hurst, and K. W. Current, IEEE J. Solid State Circuits 28, 210 (1993).

Mate, S.

S. Mate and I. Bajla, IEEE Trans. Image Processing 9, 421 (1990).

IEEE J. Solid State Circuits

I. Agi, P. J. Hurst, and K. W. Current, IEEE J. Solid State Circuits 28, 210 (1993).

IEEE Trans. Image Processing

S. Mate and I. Bajla, IEEE Trans. Image Processing 9, 421 (1990).

IEEE Trans. Med. Imaging

S. Basu and Y. Bresler, IEEE Trans. Med. Imaging 9, 1760 (2000).

Other

A. C. Kak and M. Slaney, Principle of Computerized Tomographic Imaging (IEEE Press, New York, 1988).

P. Zhang and Z. T. Zhang, Computerized Tomography Theory and Application (in Chinese) 10, (4) 4 (2001).

T. Zhang and J. B. Yan, Computerized Tomography Theory and Application (in Chinese) 9, (1) 13 (2000).

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