Matrix-based image reconstruction methods for tomography

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Matrix methods of image reconstruction have not been used, in general, because of the large size of practical matrices, ill condition upon inversion and the success of Fourier-based techniques. An exception is the work that has been done at the Lawrence Berkeley Laboratory for imaging with accelerated radioactive ions. An extension of that work into more general imaging problems shows that, with a correct formulation of the problem, positron tomography with ring geometries results in well behaved matrices which can be used for image reconstruction with no distortion of the point response in the field of view and flexibility in ... continued below

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Pages: 12

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Llacer, J. & Meng, J.D. October 1, 1984.

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Description

Matrix methods of image reconstruction have not been used, in general, because of the large size of practical matrices, ill condition upon inversion and the success of Fourier-based techniques. An exception is the work that has been done at the Lawrence Berkeley Laboratory for imaging with accelerated radioactive ions. An extension of that work into more general imaging problems shows that, with a correct formulation of the problem, positron tomography with ring geometries results in well behaved matrices which can be used for image reconstruction with no distortion of the point response in the field of view and flexibility in the design of the instrument. Maximum Likelihood Estimator methods of reconstruction, which use the system matrices tailored to specific instruments and do not need matrix inversion, are shown to result in good preliminary images. A parallel processing computer structure based on multiple inexpensive microprocessors is proposed as a system to implement the matrix-MLE methods. 14 references, 7 figures.

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Pages: 12

Notes

NTIS, PC A 02; 3.

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  • Nuclear science symposium, Orlando, FL, USA, 31 Oct 1984

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  • Other: DE85003468
  • Report No.: LBL-17781
  • Report No.: CONF-841007-31
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 6349761
  • Archival Resource Key: ark:/67531/metadc1209235

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • October 1, 1984

Added to The UNT Digital Library

  • July 5, 2018, 11:11 p.m.

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  • Oct. 11, 2018, 1:03 p.m.

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Llacer, J. & Meng, J.D. Matrix-based image reconstruction methods for tomography, article, October 1, 1984; United States. (digital.library.unt.edu/ark:/67531/metadc1209235/: accessed October 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.