On the possibility of direct Fourier reconstruction from divergent-beam projections
- 1 June 1993
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Medical Imaging
- Vol. 12 (2) , 173-181
- https://doi.org/10.1109/42.232246
Abstract
A great number of tomographic systems, especially those equipped with fast data acquisition techniques, scan the objects investigated by divergent (fan) X-ray beams. Fan-beam projection data require special reconstruction techniques to be implemented. Among reconstruction techniques from parallel projection data, the direct Fourier method (DFM) proved to be one of the most promising ones, especially for high-speed image reconstruction in the high-end 3-D and dynamic tomographic systems. The goal of this work is to answer the topical question: how would direct use of the DFM influence the quality of image reconstruction from the fan-beam data? The formula describing the error caused by such an approximation is derived. The conclusions deduced from the formula are confirmed by computer simulations. The boundary values of data acquisition geometry parameters have been estimated for the case of using the DFM without recalculating the fan-beam data.Keywords
This publication has 12 references indexed in Scilit:
- A high-speed reconstruction from projections using direct Fourier method with optimized parameters-an experimental analysisIEEE Transactions on Medical Imaging, 1990
- A Reconstructed Image Analysis and a Practical Algorithm of the Direct 2‐D Fourier TransformSystems and Computers in Japan, 1990
- Computer Simulation of the Fourier Method of Image Reconstruction from Projections in TomographyPublished by Springer Nature ,1988
- Direct Fourier Reconstruction in Fan-Beam TomographyIEEE Transactions on Medical Imaging, 1987
- An Image Coherence Technique for Ray Traced Three-Dimensional Presentations in Clinical RadiologyPublished by Springer Nature ,1987
- Study of Error in a Method of Reconstructing the Beating Heart with Conventional CT ScannersPublished by Springer Nature ,1987
- High‐speed fan‐beam reconstruction using direct two‐dimensional fourier transform methodSystems and Computers in Japan, 1985
- Display of 3-D Digital Images: Computational Foundations and Medical ApplicationsIEEE Computer Graphics and Applications, 1983
- Towards Imaging the Beating Heart Usefully with a Conventional CT ScannerIEEE Transactions on Biomedical Engineering, 1981
- The Fourier reconstruction of a head sectionIEEE Transactions on Nuclear Science, 1974