메뉴 건너뛰기




Volumn 5, Issue 5, 1996, Pages 740-753

A fast and accurate Fourier algorithm for iterative parallel-beam tomography

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; COMPUTERIZED TOMOGRAPHY; FAST FOURIER TRANSFORMS; IMAGE QUALITY; IMAGE RECONSTRUCTION; ITERATIVE METHODS; MATRIX ALGEBRA; SPURIOUS SIGNAL NOISE; VECTORS;

EID: 0030151068     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.495957     Document Type: Article
Times cited : (59)

References (29)
  • 1
    • 0020721968 scopus 로고
    • Reconstruction algorithms: Transform methods
    • R. W. Lewitt, "Reconstruction algorithms: transform methods," Proc. IEEE, vol. 71, no. 3, pp. 390-408, 1983.
    • (1983) Proc. IEEE , vol.71 , Issue.3 , pp. 390-408
    • Lewitt, R.W.1
  • 2
    • 0001982145 scopus 로고
    • Computer implementation of image reconstruction formulas
    • G. T. Herman, Ed. New York: Springer Verlag
    • S. W. Rowland, "Computer implementation of image reconstruction formulas," in Image Reconstruction from Projections. Topics in Applied Physics, vol. 32, G. T. Herman, Ed. New York: Springer Verlag, 1979, pp. 9-79.
    • (1979) Image Reconstruction from Projections. Topics in Applied Physics , vol.32 , pp. 9-79
    • Rowland, S.W.1
  • 5
    • 0020845935 scopus 로고
    • Iterative convolution backprojection algorithms for image reconstruction from limited data
    • B. P. Medoff, W. R. Brody, M. Nassi, and A. Macovski, "Iterative convolution backprojection algorithms for image reconstruction from limited data," J. Opt. Soc. Amer., vol. 37, no. 11, pp. 1493-1500, 1983.
    • (1983) J. Opt. Soc. Amer. , vol.37 , Issue.11 , pp. 1493-1500
    • Medoff, B.P.1    Brody, W.R.2    Nassi, M.3    Macovski, A.4
  • 6
    • 0010980001 scopus 로고
    • Image reconstruction from limited data: Theory and applications in computerized tomography
    • Henry Stark, Ed. San Diego, CA: Academic
    • B. P. Medoff, "Image reconstruction from limited data: theory and applications in computerized tomography," in Image Recovery: Theory and Application, Henry Stark, Ed. San Diego, CA: Academic, 1987, pp. 29-78.
    • (1987) Image Recovery: Theory and Application , pp. 29-78
    • Medoff, B.P.1
  • 7
    • 0023421618 scopus 로고
    • Errors in reprojection methods in computerized tomography
    • H. J. Trussell, H. Orun-Ozturk, and M. R. Civanlar, "Errors in reprojection methods in computerized tomography," IEEE Trans. Med. Imag., vol. MI-6, no. 3, pp. 220-227, 1987.
    • (1987) IEEE Trans. Med. Imag. , vol.MI-6 , Issue.3 , pp. 220-227
    • Trussell, H.J.1    Orun-Ozturk, H.2    Civanlar, M.R.3
  • 9
    • 0003388852 scopus 로고
    • Applications of convex projection theory to image recovery in tomography and related areas
    • Henry Stark, Ed. San Diego, CA: Academic
    • M. I. Sezan and H. Stark, "Applications of convex projection theory to image recovery in tomography and related areas," in Image Recovery: Theory and Application, Henry Stark, Ed. San Diego, CA: Academic, 1987, pp. 415-462, .
    • (1987) Image Recovery: Theory and Application , pp. 415-462
    • Sezan, M.I.1    Stark, H.2
  • 10
    • 0019144936 scopus 로고
    • A study of Fourier space methods for limited-angle image reconstruction
    • F. A. Granbaum, "A study of Fourier space methods for limited-angle image reconstruction," Num. Funct. Anal. Optimiz., vol. 2, pp. 31-42, 1980.
    • (1980) Num. Funct. Anal. Optimiz. , vol.2 , pp. 31-42
    • Granbaum, F.A.1
  • 11
    • 0019584655 scopus 로고
    • Limited-angle three-dimensional reconstructions using Fourier transform iterations and Radon transform iterations
    • K.-C. Tam and V. Perez-Mandez, "Limited-angle three-dimensional reconstructions using Fourier transform iterations and Radon transform iterations," Opt. Eng., vol. 20, no. 4, pp. 586-589, 1981.
    • (1981) Opt. Eng. , vol.20 , Issue.4 , pp. 586-589
    • Tam, K.-C.1    Perez-Mandez, V.2
  • 12
    • 0019429545 scopus 로고
    • Tomographic image reconstruction from limited projections using iterative revisions in image and transform spaces
    • T. Sato et al., "Tomographic image reconstruction from limited projections using iterative revisions in image and transform spaces," Appl. Opt., vol. 20, pp. 395-399, 1981.
    • (1981) Appl. Opt. , vol.20 , pp. 395-399
    • Sato, T.1
  • 13
    • 0020718577 scopus 로고
    • Finite series-expansion reconstruction methods
    • Y. Censor, "Finite series-expansion reconstruction methods," Proc. IEEE, vol. 71, no. 3, pp. 409-419, 1983.
    • (1983) Proc. IEEE , vol.71 , Issue.3 , pp. 409-419
    • Censor, Y.1
  • 14
    • 0026835074 scopus 로고
    • Constrained restoration and the recovery of discontinuities
    • D. Geman, "Constrained restoration and the recovery of discontinuities," IEEE Trans. Patten Anal. Machine Intell., vol. 14, no. 3, pp. 367-383, 1992.
    • (1992) IEEE Trans. Patten Anal. Machine Intell. , vol.14 , Issue.3 , pp. 367-383
    • Geman, D.1
  • 15
    • 0025404969 scopus 로고
    • Bayesian reconstructions from emission tomography data using a modified EM algorithm
    • P. J. Green, "Bayesian reconstructions from emission tomography data using a modified EM algorithm," IEEE Trans. Med. Imag., vol. 9, no. 1, pp. 84-93, 1990.
    • (1990) IEEE Trans. Med. Imag. , vol.9 , Issue.1 , pp. 84-93
    • Green, P.J.1
  • 16
    • 0025587714 scopus 로고
    • Convergence of EM image reconstruction algorithms with Gibbs smoothing
    • K. Lange, "Convergence of EM image reconstruction algorithms with Gibbs smoothing," IEEE Trans. Med. Imag., vol. 9, no. 4, pp. 439-446, 1990.
    • (1990) IEEE Trans. Med. Imag. , vol.9 , Issue.4 , pp. 439-446
    • Lange, K.1
  • 17
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of image
    • S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of image," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-6, pp. 721-741, 1984.
    • (1984) IEEE Trans. Pattern Anal. Machine Intell. , vol.PAMI-6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 19
    • 0027542459 scopus 로고
    • A local update strategy for iterative reconstruction from projections
    • K. Sauer and C. Bouman, "A local update strategy for iterative reconstruction from projections," IEEE Trans. Signal Processing, vol. 41, no. 2, pp. 534-548, 1993.
    • (1993) IEEE Trans. Signal Processing , vol.41 , Issue.2 , pp. 534-548
    • Sauer, K.1    Bouman, C.2
  • 21
    • 0027568637 scopus 로고
    • Preconditioning methods for improved convergence rates in iterative reconstructions
    • N. H. Clinthorn et al.,"Preconditioning methods for improved convergence rates in iterative reconstructions," IEEE Trans. Med. Imag., vol. 12, no. 1, pp. 78-83, 1993.
    • (1993) IEEE Trans. Med. Imag. , vol.12 , Issue.1 , pp. 78-83
    • Clinthorn, N.H.1
  • 23
    • 0022414714 scopus 로고
    • Local basis-function approach to computed tomography
    • K. M. Hanson and G. W. Wecksung, "Local basis-function approach to computed tomography," Appl. Optics, vol. 24, no. 23, pp. 4028-4039, 1985.
    • (1985) Appl. Optics , vol.24 , Issue.23 , pp. 4028-4039
    • Hanson, K.M.1    Wecksung, G.W.2
  • 24
    • 0026544838 scopus 로고
    • Alternatives to voxels for image representation in iterative reconstruction algorithms
    • R. M. Lewitt, "Alternatives to voxels for image representation in iterative reconstruction algorithms," Physics Med. Biol., vol. 37, pp. 705-716, 1992.
    • (1992) Physics Med. Biol. , vol.37 , pp. 705-716
    • Lewitt, R.M.1
  • 25
    • 0026905465 scopus 로고
    • Bayesian estimation of transmission tomograms using segmentation based optimization
    • K. Sauer and C. Bouman, "Bayesian estimation of transmission tomograms using segmentation based optimization," IEEE Trans. Nucl. Sci., vol. 39, no. 4, pp. 1144-1152, 1992.
    • (1992) IEEE Trans. Nucl. Sci. , vol.39 , Issue.4 , pp. 1144-1152
    • Sauer, K.1    Bouman, C.2
  • 26
    • 0027248181 scopus 로고
    • Matrix formulation of computed tomogram reconstruction
    • J. K. Older and P. C. Johns, "Matrix formulation of computed tomogram reconstruction," Phys. Med. Biol., vol. 38, pp. 1051-1064, 1993.
    • (1993) Phys. Med. Biol. , vol.38 , pp. 1051-1064
    • Older, J.K.1    Johns, P.C.2
  • 27
    • 0026870457 scopus 로고
    • Simulation evaluation of Gibbs prior distributions for use in maximum a posteriori SPECT reconstructions
    • D. S. Lalush and B. M. W. Tsui, "Simulation evaluation of Gibbs prior distributions for use in maximum a posteriori SPECT reconstructions," IEEE Trans. Med. Imag., vol. 11, no. 2, pp. 267-275, 1992.
    • (1992) IEEE Trans. Med. Imag. , vol.11 , Issue.2 , pp. 267-275
    • Lalush, D.S.1    Tsui, B.M.W.2
  • 28
    • 0027624429 scopus 로고
    • A generalized Gaussian image model for edge-preserving MAP estimation
    • C. Bouman and K. Sauer, "A generalized Gaussian image model for edge-preserving MAP estimation," IEEE Trans. Image Processing, vol. 2. no. 3, pp. 296-310, 1993.
    • (1993) IEEE Trans. Image Processing , vol.2 , Issue.3 , pp. 296-310
    • Bouman, C.1    Sauer, K.2
  • 29
    • 0028427322 scopus 로고
    • A Bayesian approach to image expansion for improved definition
    • R. R. Schultz and R. L. Stevenson, "A Bayesian approach to image expansion for improved definition," IEEE Trans. Image Processing, vol. 3. no. 3, pp. 233-242, 1994.
    • (1994) IEEE Trans. Image Processing , vol.3 , Issue.3 , pp. 233-242
    • Schultz, R.R.1    Stevenson, R.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.