| Literature DB >> 10875705 |
J Waldén1.
Abstract
We develop a direct Fourier method (DFM) for reconstructing a function from its X-ray projections. We introduce a framework that can be used to get a quantitative comparison between different choices of basis functions in the step of resampling from polar to Cartesian coordinates. We use the framework to compare polynomial interpolation, approximated sinc-functions, Gaussians, splines, and Kaiser-Bessel functions. The resulting algorithm is very fast, requiring 12.5N2 log2 N + 49N2 flops. Numerical experiments show it to be efficient.Mesh：
Year: 2000 PMID： 10875705 DOI： 10.1109/42.845179
Source DB: PubMed Journal: IEEE Trans Med Imaging ISSN： 0278-0062 Impact factor: 10.048