Journal ArticleDOI
Three-dimensional image reconstruction for PET by multi-slice rebinning and axial image filtering
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TLDR
The reconstruction method makes use of all coincidence data acquired by high-sensitivity PET systems that do not have inter-slice absorbers to restrict the axial acceptance angle, making it well suited for dynamic and whole-body studies.Abstract:
A fast method is described for reconstructing volume images from three-dimensional (3D) coincidence data in positron emission tomography (PET). The reconstruction method makes use of all coincidence data acquired by high-sensitivity PET systems that do not have inter-slice absorbers (septa) to restrict the axial acceptance angle. The reconstruction method requires only a small amount of storage and computation, making it well suited for dynamic and whole-body studies. The method consists of three steps: (i) rebinning of coincidence data into a stack of 2D sinograms; (ii) slice-by-slice reconstruction of the sinogram associated with each slice to produce a preliminary 3D image having strong blurring in the axial (z) direction, but with different blurring at different z positions; and (iii) spatially variant filtering of the 3D image in the axial direction (i.e. 1D filtering in z for each x-y column) to produce the final image. The first step involves a new form of the rebinning operation in which multiple sinograms are incremented for each oblique coincidence line (multi-slice rebinning). The axial filtering step is formulated and implemented using the singular value decomposition. The method has been applied successfully to simulated data and to measured data for different kinds of phantom (multiple point sources, multiple discs, a cylinder with cold spheres, and a 3D brain phantom).read 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.
BookDOI
The theory and practice of 3D PET
TL;DR: Townsend et al. as discussed by the authors presented a 3D PET data acquisition and image reconstruction method based on the volume imaging tomography (VIT) method, which can be used to obtain a detailed image of the PET.
Journal ArticleDOI
Mood effects on limbic blood flow correlate with emotional self-rating: A PET study with oxygen-15 labeled water
Frank Schneider,Raquel E. Gur,Lyn Harper Mozley,Robin J. Smith,P. David Mozley,David M. Censits,Abass Alavi,Ruben C. Gur +7 more
TL;DR: Results support limbic involvement in regulating emotional states and suggest some reciprocity between subcortical and frontal-temporal regulation of emotional experience.
Journal Article
The 2006 Henry N. Wagner Lecture: Of Mice and Men (and Positrons)—Advances in PET Imaging Technology
TL;DR: There have been major advances in PET technology that cumulatively have helped improve image quality, increased the range of applications for PET, and contributed to the more widespread use of PET as mentioned in this paper.
Journal ArticleDOI
Iterative reconstruction algorithms in nuclear medicine.
Stefaan Vandenberghe,Yves D'Asseler,R. Van de Walle,Tomi Kauppinen,Michel Koole,L. Bouwens,K. Van Laere,Ignace Lemahieu,Rudi Dierckx +8 more
TL;DR: An overview of the most important iterative techniques and discuss the different corrections that can be incorporated to improve the image quality are given.
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 ArticleDOI
Numerical tools for analysis and solution of Fredholm integral equations of the first kind
TL;DR: In this paper, the authors survey several numerical tools that can be used for the analysis and solution of systems of linear algebraic equations derived from Fredholm integral equations of the first kind.
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.
Book ChapterDOI
Linear Inverse and III-Posed Problems
TL;DR: In this article, the authors considered linear inverse problems that have the following general structure: the first step is the definition of the direct problem, which must be linear, and then the solution of the original direct problem defines a linear mapping L from the space X of all functions characterizing the properties of the physical sample (such as the density function in the case of a vibrating string or the refraction index in a semi-transparent object, etc.) into the space Y of all corresponding measurable quantities, such as sequences of eigenvalues, scattering amplitudes, and so