Journal
IEEE TRANSACTIONS ON MEDICAL IMAGING
Volume 21, Issue 2, Pages 76-88Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/42.993127
Keywords
backprojection; 3-D radon transform; fast algorithm; hierarchical; cone beam tomography
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We present a novel backprojection algorithm for three-dimensional (3-D) radon transform data that requires O (N-3 log(2) N) operations for reconstruction of an N x N x N volume from O(N-2) plane-integral projections. Our algorithm uses a hierarchical decomposition of the 3-D radon transform to recursively decompose the backprojection operation. Simulations are presented demonstrating reconstruction quality comparable to the standard filtered backprojection, which requires O(N-5) computations under the same circumstances.
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