快速离散Radon变换

[Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing Pub Date : 1992-03-23 DOI:10.1109/ICASSP.1992.226189

B. Kelley, V. Madisetti

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引用次数: 33

摘要

导出了连续时间和离散时间Radon变换之间的显式关系。提出了反演问题的广义最小二乘解，并推导了快速Radon变换(FRT)算法(IFRT)的一种新的逆解。作者对FRT算法的兴趣源于其在地震反演问题中的应用。基于Radon变换域的波动方程解，利用频域变换和频域变换，提出了一种基于波动方程解的地震偏移方法。从高效实现的角度描述了一些受欢迎的并发VLSI架构。FRT被扩展到三维。

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The fast discrete Radon transform

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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[Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing

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