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An SVD reconstruction algorithm using a natural pixel representation of the attenuated Radon transform

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3 Author(s)
Gullberg, G.T. ; Dept. of Radiol., Utah Univ., Salt Lake City, UT, USA ; Yu-Lung Hsieh ; Zeng, G.L.

The purpose of this work was to investigate the use of natural pixels to reconstruct attenuation corrected emission data using attenuation factors calculated from a natural pixel representation of the reconstructed transmission data. The reconstruction algorithm for both transmission and emission reconstructions is based on the assumption that a continuous image can be obtained by backprojecting the discrete array q, which is the least squares solution to Mq=p, where p is the array of discrete measurements. The M matrix represents the operator obtained from the backprojection operator followed by the projection operator using the natural pixel basis. A singular value decomposition was used to solve the equation Mq=p, and the final image was obtained by sampling the continuous backprojection of the solution q at a discrete array of points. Computer simulations showed that accurate attenuation corrected reconstructions could be obtained using a natural pixel representation of the attenuated Radon transform for a variable attenuator

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Nuclear Science, IEEE Transactions on  (Volume:43 ,  Issue: 1 )