Exact fan-beam and 4π-acquisition cone-beam SPECT algorithms with uniform attenuation correction
Creators
- 1. E.O. Lawrence Berkeley National Laboratory, Berkeley, California 94720 (United States)
- 2. Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801 (United States)
- 3. Department of Radiology, University of Utah, Salt Lake City, Utah 84108 (United States)
- 4. Department of Physics, University of Utah, Salt Lake City, Utah 84112 (United States)
Description
This paper presents analytical fan-beam and cone-beam reconstruction algorithms that compensate for uniform attenuation in single photon emission computed tomography. First, a fan-beam algorithm is developed by obtaining a relationship between the two-dimensional (2D) Fourier transform of parallel-beam projections and fan-beam projections. Using this relationship, 2D Fourier transforms of equivalent parallel-beam projection data are obtained from the fan-beam projection data. Then a quasioptimal analytical reconstruction algorithm for uniformly attenuated Radon data, developed by Metz and Pan, is used to reconstruct the image. A cone-beam algorithm is developed by extending the fan-beam algorithm to 4π solid angle geometry. The cone-beam algorithm is also an exact algorithm
Additional details
Identifiers
- DOI
- 10.1118/1.2068907;
Publishing Information
- Journal Title
- Medical Physics
- Journal Volume
- 32
- Journal Issue
- 11
- Journal Page Range
- p. 3440-3447
- ISSN
- 0094-2405
- CODEN
- MPHYA6
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37038353
- Subject category
- S62: RADIOLOGY AND NUCLEAR MEDICINE;
- Descriptors DEI
- ALGORITHMS; ATTENUATION; FOURIER TRANSFORMATION; GEOMETRY; IMAGE PROCESSING; IMAGES; SINGLE PHOTON EMISSION COMPUTED TOMOGRAPHY; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- COMPUTERIZED TOMOGRAPHY; DIAGNOSTIC TECHNIQUES; EMISSION COMPUTED TOMOGRAPHY; INTEGRAL TRANSFORMATIONS; MATHEMATICAL LOGIC; MATHEMATICS; PROCESSING; TOMOGRAPHY; TRANSFORMATIONS
Optional Information
- Notes
- (c) 2005 American Association of Physicists in Medicine