The fast discrete Radon transform

Abstract
An explicit relationship between the continuous and discrete time Radon transforms is derived. A generalized least-squares solution to the inversion problem is proposed, and a new inverse counterpart to the fast Radon transform (FRT) algorithm (IFRT) is derived. The authors' interest in the FRT algorithm stems from its application to the seismic inversion problem. A method of seismic migration based upon the wave equation solution in the Radon transform domain is derived using the FRT and IFRT. A number of concurrent VLSI architectures that find favor from the viewpoint of efficient implementation are described. The FRT is extended to three dimensions.

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