Title :
The fast discrete Radon transform
Author :
Kelley, Brian T. ; Madisetti, Vijay K.
Author_Institution :
Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
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
Keywords :
inverse problems; least squares approximations; seismology; signal processing; transforms; concurrent VLSI architectures; fast discrete Radon transform; inversion problem; least-squares solution; seismic imaging; seismic migration; wave equation solution; Digital signal processing; Discrete transforms; Geophysics computing; Grid computing; Laboratories; Partial differential equations; Signal processing algorithms; Tomography; Ultrasonic imaging; Very large scale integration;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-0532-9
DOI :
10.1109/ICASSP.1992.226189