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Practical considerations for 3-D image reconstruction using spherically symmetric volume elements
Spherically symmetric volume elements with smooth tapering of the values near their boundaries are alternatives to the more conventional voxels for the construction of volume images in the computer. Expand
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Overview of methods for image reconstruction from projections in emission computed tomography
This paper uses the various models of the data collection process as the framework for presenting an overview of the wide variety of methods that have been developed for image reconstruction in the major subfields of ECT, which are positron emission tomography (PET) and single-photon emission computed tomography. Expand
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  • Open Access
Iterative tomographic image reconstruction using Fourier-based forward and back-projectors
We have applied min-max optimized Kaiser-Bessel interpolation within the nonuniform FFT (NUFFT) framework and devised ways of incorporation of resolution models into the Fourier-based iterative approaches. Expand
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  • Open Access
Application of the row action maximum likelihood algorithm with spherical basis functions to clinical PET imaging
Three-dimensional (3D) reconstructions from fully 3D positron emission tomography (PET) data can yield high-quality images but at a high computational cost. The 3D row action maximum likelihoodExpand
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Efficient 3-D TOF PET Reconstruction Using View-Grouped Histo-Images: DIRECT—Direct Image Reconstruction for TOF
We present the Direct Reconstruction for TOF data (DIRECT) approach, working directly in image space and allowing very efficient implementation of reconstruction and data correction operations, without compromising image quality. Expand
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Efficient 3D grids for image reconstruction using spherically-symmetric volume elements
  • S. Matej, R. Lewitt
  • Computer Science
  • Proceedings of IEEE Nuclear Science Symposium…
  • 30 October 1994
Incorporation of spherically-symmetric volume elements (blobs), instead of the conventional voxels, into iterative image reconstruction algorithms, has been found in the authors' previous studies to lead to significant improvement in the quality of the reconstructed images. Expand
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Relevance of statistically significant differences between reconstruction algorithms
We formalize the notion of "relevance" and propose an evaluation methodology in which statistical significance is retained for relevant improvements, but not for irrelevant ones. Expand
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Fisher information-based evaluation of image quality for time-of-flight PET
The use of time-of-flight (TOF) information during reconstruction is generally considered to improve the image quality. In this work we quantified this improvement using two existing methods: (1) aExpand
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Image representation and tomographic reconstruction using spherically-symmetric volume elements
  • S. Matej, R. M. Lewitt
  • Computer Science
  • IEEE Conference on Nuclear Science Symposium and…
  • 25 October 1992
Spherically symmetric volume elements are alternatives to the more conventional voxels for the construction of volume images in the computer. Expand
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A high-speed reconstruction from projections using direct Fourier method with optimized parameters-an experimental analysis.
Some issues of the direct Fourier method (DFM) implementation are discussed. A hybrid spline-linear interpolation for the DFM is proposed. The results of comprehensive simulation research areExpand
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