1
Fan Beam
Reconstruction for
Limited Views and
Sparse DataM.N. Lakshmanan
05/06/2010
MP 8803
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2Kak, Slaney. 1999
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3Kak, Slaney. 1999
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Sinogram Image
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Short Scan Sinogram
6Kak, Slaney. 1999
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Parker Weighting
DL Parker. 1981.
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10
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Reconstruction of Parker
Weighted Sinogram
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Sparse data
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• ART (algebraic reconstruction)
Gordon, Bender, Herman.1970.
• EM (exception-maximization)
Shepp and Vardi.1982.
• TV (total variation).
Sidky, Kao, Pan. 2006.
Iterative Reconstruction
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ART
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After 78 iterations
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Future Work
•Work harder: processor speed
•Work smarter: gradient
descent
•Get help: parallel processing
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References• A.C. Kak, M. Slaney. Principles of
Computerized Tomographic Imaging.
IEEE, New York,1988.
• L.A. Shepp and Y. Vardi, Transactions
on Medical Imaging. MI-2, 113-122, 1982
• R. Gordon, R. Bender, G.T. Herman, J.
Theor. Biol., 29, 471-481, 1970.
• Sidky EY, Kao CM, Pan X. J. X-Ray
Sci. Technol 2006; 14:119-139
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