High-resolution computed tomography from efficient sampling
- 1 June 2000
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 16 (3) , 635-650
- https://doi.org/10.1088/0266-5611/16/3/307
Abstract
This paper investigates high-resolution reconstructions from efficiently sampled data in parallel-beam tomography, in particular, local tomography. A class of sampling schemes is defined and characterized, and it is shown that the standard scheme and the interlaced scheme of Cormack (Cormack A M 1978 Phys. Med. Biol. 23 1141-8) are most promising. An error analysis for the filtered backprojection algorithm for both global and local tomography is presented. The analysis provides insights on how to realize the theoretically superior resolution of the interlaced scheme in practice. A numerical experiment with real data indicates the feasibility of high-resolution local tomography using the interlaced scheme.Keywords
This publication has 13 references indexed in Scilit:
- Local Tomography IISIAM Journal on Applied Mathematics, 1997
- Pseudolocal TomographySIAM Journal on Applied Mathematics, 1996
- On local tomographyInverse Problems, 1995
- Sampling in Fan Beam TomographySIAM Journal on Applied Mathematics, 1993
- Efficient sampling on coarse grids in tomographyInverse Problems, 1993
- Examples of Local TomographySIAM Journal on Applied Mathematics, 1992
- Local TomographySIAM Journal on Applied Mathematics, 1992
- Resolution of Reconstruction Methods in Computerized TomographySIAM Journal on Scientific and Statistical Computing, 1989
- Reconstruction algorithms: Transform methodsProceedings of the IEEE, 1983
- Sampling the Radon transform with beams of finite widthPhysics in Medicine & Biology, 1978