Title :
Unification of the inverse radon transform in odd and even dimensions
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
fDate :
12/1/1995 12:00:00 AM
Abstract :
It is well known that the inverse radon transform exists in two forms for odd and even dimension functions, respectively. This note shows that these formulas become zero when the dimension requirement is violated, which results in a simple unified formula for the inverse radon transform of arbitrary dimensions
Keywords :
Radon transforms; computerised tomography; inverse problems; tomography; dimension requirement; even dimensions; inverse radon transform; odd dimensions; projections; simple unified formula; tomographic imaging; Application software; Computed tomography; Computer architecture; Concurrent computing; Fourier transforms; Graphics; Mathematics; Multidimensional systems; Parallel processing; Space technology;
Journal_Title :
Medical Imaging, IEEE Transactions on
