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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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