3D-FRP: Direct Fourier reconstruction with Fourier reprojection for fully 3-D PET

IEEE Transactions on Nuclear Science

Volumn 48, Issue 4 II, 2001, Pages 1378-1385

  Matej, Samuel ^a,b   Lewitt, Robert M ^a,b  

^a IEEE   (United States)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Direct Fourier method (DFM); PET; Reprojection; Volume image reconstruction

Indexed keywords

DIRECT FOURIER RECONSTRUCTION; FOURIER REBINNING; FOURIER REPROJECTION; THREE DIMENSIONAL FOURIER TRANSFORM; THREE DIMENSIONAL POSITRON EMISSION TOMOGRAPHY; THREE DIMENSIONAL VOLUME; TWO DIMENSIONAL FOURIER TRANSFORM; VOLUME IMAGE RECONSTRUCTION;

BACKSCATTERING; COMPUTATIONAL GEOMETRY; FOURIER TRANSFORMS; IMAGE RECONSTRUCTION; POSITRON EMISSION TOMOGRAPHY; THREE DIMENSIONAL COMPUTER GRAPHICS; TWO DIMENSIONAL;

NUCLEAR ENGINEERING;

EID: 0035428579     PISSN: 00189499     EISSN: None     Source Type: Journal    
DOI: 10.1109/23.958359     Document Type: Conference Paper

References (37)

1. Exact and approximate rebinning algorithms for 3D PET data
2. A factorization method for the 3D x-ray transform
3. 2.5-D simultaneous multislice reconstruction by series expansion methods from Fourier-rebinned PET data
4. Application of the row action maximum likelihood algorithm with spherical basis functions to clinical PET imaging
5. Performance of the Fourier rebinning algorithm for PET with large acceptance angles
6. Data processing and image reconstruction methods for the HEAD PENN-PET scanner
7. A fast rebinning algorithm for 3D positron emission tomography using John's equation
8. Three-dimensional image reconstruction for positron emission tomography
9. Reconstruction algorithms: Transform methods
10. A high-speed computerized tomography image reconstruction using direct two-dimensional Fourier transfrom method
11. A high-speed reconstruction from projections using direct Fourier method with optimized parameters - An experimental analysis
12. Linogram and other direct Fourier methods for tomographic reconstruction
13. A bevy of novel interpolating kernels for the Shannon reconstruction of high band pass images
14. Fast direct Fourier methods, based on one- and two-pass coordinate transformations, yield accurate reconstructions of x-ray CT clinical images
15. A fast sinc function gridding algorithm for Fourier inversion in computer tomography
16. The gridding method for image reconstruction by Fourier transformation
17. Selection of a convolution function for Fourier inversion using gridding
18. On the optimality of the gridding reconstruction algorithm
19. Multidimensional digital image representations using generalized Kaiser-Bessel window functions
20. Alternatives to voxels for image representation in iterative reconstruction algorithms
21. Practical considerations for 3D image reconstruction using spherically-symmetric volume elements
22. Fast spiral coronary artery imaging
23. Parallel data resampling and Fourier inversion by the scan-line method
24. Multishot rosette trajectories for spectrally selective MR imaging
25. Resampling of data between arbitrary grids using convolution interpolation
26. Sampling density compensation in MRI: Rationale and an iterative numerical solution
27. Fast reprojection of volume data
28. Fourier volume rendering
29. Frequency domain volume rendering
30. Accelerated image reconstruction for a cylindrical positron tomograph using Fourier domain methods
31. Linograms in image reconstruction from projections
32. Image reconstruction from linograms: Implementation and evaluation
33. Evaluation of task-oriented performance of several fully 3D PET reconstruction algorithms
34. Artefacts and remedies in direct Fourier reconstruction
35. Electron tomography in conical tilt geometry. The accuracy of a direct Fourier method (DFM) and the suppression of nontomographic noise
36. Image reconstruction from projections: II modified back-projection methods