Journal ArticleDOI
A factorization method for the 3D X-ray transform
TLDR
In this paper, the authors considered the inversion of the 3D X-ray transform with a limited data set containing the line integrals which have two intersections with the lateral surface of a cylindrical detector.Abstract:
We consider the inversion of the three-dimensional (3D) X-ray transform with a limited data set containing the line integrals which have two intersections with the lateral surface of a cylindrical detector The usual solution to this problem is based on 3D filtered-backprojection, but this method is slow This paper presents a new algorithm which factors the 3D reconstruction problem into a set of independent 2D radon transforms for a stack of parallel slices Each slice is then reconstructed using standard 2D filtered-backprojection The algorithm is based on the application of the stationary-phase approximation to the 2D Fourier transform of the data, and is an extension to three dimensions of the frequency-distance relation derived by Edholm et al(1986) for the 2D radon transform Error estimates are also obtainedread more
Citations
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Journal ArticleDOI
Exact and approximate rebinning algorithms for 3-D PET data
TL;DR: This paper presents two new rebinning algorithms for the reconstruction of three-dimensional (3-D) positron emission tomography (PET) data that are approximate but allows an efficient implementation based on taking 2-D Fourier transforms of the data.
The Radon Transform - Theory and Implementation
TL;DR: In this article, the Radon and Hough transform is used for curve detection in digital images and for reconstruction of tomography images, and a new fast scheme for estimating curve parameters is presented.
Journal ArticleDOI
Relevance of accurate Monte Carlo modeling in nuclear medical imaging.
TL;DR: A derivation and methodological basis for Monte Carlo modeling techniques for nuclear medical imaging innovations and examples of some useful features of such sophisticated tools in connection with common computing facilities and more powerful multiple-processor parallel processing systems are provided.
Journal ArticleDOI
The design and implementation of a motion correction scheme for neurological PET.
Peter M. Bloomfield,Terry J. Spinks,Johnny Reed,L. Schnorr,Anthony M Westrip,Lefteris Livieratos,Roger Fulton,Terry Jones +7 more
TL;DR: A method has been developed to accurately monitor the motion of the head during a neurological PET acquisition, and correct for this motion prior to image reconstruction and does not add significantly to either the acquisition or the subsequent data processing.
Journal ArticleDOI
Overview of methods for image reconstruction from projections in emission computed tomography
Robert M. Lewitt,Samuel Matej +1 more
TL;DR: The paper presents a broad overview of algorithms for PET and SPECT, giving references to the literature where these algorithms and their applications are described in more detail.
References
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Journal ArticleDOI
Analytic 3D image reconstruction using all detected events
Paul E. Kinahan,J.G. Rogers +1 more
TL;DR: In this paper, the authors present an algorithm for three-dimensional image reconstruction that uses all gamma-ray coincidence events detected by a PET (positron emission tomography) volume imaging scanner.
Journal Article
Treatment of Axial Data in Three-Dimensional PET
TL;DR: Two methods of treating the axial information from a volume PET scanner are presented and Qualitative and quantitative errors introduced by the approximations are examined for simulated objects with sharp boundaries and for a more anatomically realistic distribution with smooth activity gradients.
Journal ArticleDOI
Physical performance of a positron tomograph for brain imaging with retractable septa.
Terry J. Spinks,Terry Jones,Dale L. Bailey,David W. Townsend,S. Grootoonk,Peter Bloomfield,Maria Carla Gilardi,Michael E. Casey,B. Sipe,J. Reed +9 more
TL;DR: In spite of the increase in scatter when septa are retracted, the increased efficiency in the 3D mode of acquisition yields distinct advantages, particularly in the many studies where tracer concentration is low and consequently where dead time and random rates are less important.
Journal ArticleDOI
Performance evaluation of the positron scanner ECAT EXACT.
Klaus Wienhard,Lars Eriksson,Sylke Grootoonk,Michael E. Casey,Uwe Pietrzyk,Wolf-Dieter Heiss +5 more
TL;DR: Brain, heart, and whole-body studies with the new tomography demonstrate the versatility of its applications without compromising on physical performance.
Journal ArticleDOI
Fully-three-dimensional positron emission tomography
TL;DR: Fully three-dimensional positron emission tomography is considered and a reconstruction algorithm derived that is computationally feasible and results in accurate reconstructions.