Title
Exact and approximate rebinning algorithms for 3-D PET data
Abstract
This paper presents two new rebinning algorithms for the reconstruction of three-dimensional (3-D) positron emission tomography (PET) data. A rebinning algorithm is one that first sorts the 3-D data into an ordinary two-dimensional (2-D) data set containing one sinogram for each transaxial slice to be reconstructed; the 3-D image is then recovered by applying to each slice a 2-D reconstruction method such as filtered-backprojection. This approach allows a significant speedup of 3-D reconstruction, which is particularly useful for applications involving dynamic acquisitions or whole-body imaging. The first new algorithm is obtained by discretizing an exact analytical inversion formula. The second algorithm, called the Fourier rebinning algorithm (FORE), is approximate but allows an efficient implementation based on taking 2-D Fourier transforms of the data. This second algorithm was implemented and applied to data acquired with the new generation of PET systems and also to simulated data for a scanner with an 18° axial aperture. The reconstructed images were compared to those obtained with the 3-D reprojection algorithm (3DRP) which is the standard "exact" 3-D filtered-backprojection method. Results demonstrate that FORE provides a reliable alternative to 3DRP, while at the same time achieving an order of magnitude reduction in processing time.
Year
DOI
Venue
1997
10.1109/42.563660
Medical Imaging, IEEE Transactions
Keywords
Field
DocType
algorithm theory,image reconstruction,medical image processing,positron emission tomography,3-D PET data,Fourier rebinning algorithm,approximate rebinning algorithms,dynamic acquisitions,exact analytical inversion formula,exact rebinning algorithms,filtered-backprojection,medical diagnostic imaging,nuclear medicine,processing time reduction,transaxial slice,whole-body imaging
Iterative reconstruction,Discretization,Signal processing,Computer vision,Algorithm design,Fourier analysis,Computer science,Algorithm,Fourier transform,Artificial intelligence,Image resolution,Speedup
Journal
Volume
Issue
ISSN
16
2
0278-0062
Citations 
PageRank 
References 
50
9.38
4
Authors
6
Name
Order
Citations
PageRank
Michel Defrise132540.12
Paul E. Kinahan210419.98
Townsend, D.W.3509.38
Michel, C.4549.87
Merence Sibomana55010.06
D. F. Newport6509.72