Title :
Partial Radon transforms
Author :
Zhi-Pei Liang ; Munson, D.C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL
fDate :
10/1/1997 12:00:00 AM
Abstract :
This article formally defines partial Radon transforms for functions of more than two dimensions. It shows that a generalized projection-slice theorem exists which connects planar and hyperplanar projections of a function to its Fourier transform. In addition, a general theoretical framework is provided for carrying out n-dimensional backprojection reconstruction in a multistage fashion through the use of the partial Radon transform
Keywords :
Fourier transforms; Radon transforms; image reconstruction; Fourier transform; backprojection reconstruction; generalized projection-slice theorem; hyperplanar projection; image reconstruction; multistage reconstruction; partial Radon transforms; planar projection; tomographic imaging; Fourier transforms; Image reconstruction; Magnetic resonance imaging; Terrorism; Tomography; Two dimensional displays;
Journal_Title :
Image Processing, IEEE Transactions on
