Zhao et al., 1995 - Google Patents
A new Fourier method for fan beam reconstructionZhao et al., 1995
- Document ID
- 8510073139184754403
- Author
- Zhao S
- Halling H
- Publication year
- Publication venue
- 1995 IEEE Nuclear Science Symposium and Medical Imaging Conference Record
External Links
Snippet
For parallel beam geometry the Fourier reconstruction works via the central slice theorem. For fan beam geometry the central slice theorem in its simple form does not exist. This paper introduces a generalized central slice theorem for fan beam geometry. Using this method the …
- 238000005070 sampling 0 abstract description 6
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T11/00—2D [Two Dimensional] image generation
- G06T11/003—Reconstruction from projections, e.g. tomography
- G06T11/005—Specific pre-processing for tomographic reconstruction, e.g. calibration, source positioning, rebinning, scatter correction, retrospective gating
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T11/00—2D [Two Dimensional] image generation
- G06T11/003—Reconstruction from projections, e.g. tomography
- G06T11/006—Inverse problem, transformation from projection-space into object-space, e.g. transform methods, back-projection, algebraic methods
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T2211/00—Image generation
- G06T2211/40—Computed tomography
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01T—MEASUREMENT OF NUCLEAR OR X-RADIATION
- G01T1/00—Measuring X-radiation, gamma radiation, corpuscular radiation, or cosmic radiation
- G01T1/29—Measurement performed on radiation beams, e.g. position or section of the beam; Measurement of spatial distribution of radiation
- G01T1/2914—Measurement of spatial distribution of radiation
- G01T1/2985—In depth localisation, e.g. using positron emitters; Tomographic imaging (longitudinal and transverse section imaging; apparatus for radiation diagnosis sequentially in different planes, steroscopic radiation diagnosis)
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T3/00—Geometric image transformation in the plane of the image, e.g. from bit-mapped to bit-mapped creating a different image
- G06T3/40—Scaling the whole image or part thereof
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T5/00—Image enhancement or restoration, e.g. from bit-mapped to bit-mapped creating a similar image
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01T—MEASUREMENT OF NUCLEAR OR X-RADIATION
- G01T1/00—Measuring X-radiation, gamma radiation, corpuscular radiation, or cosmic radiation
- G01T1/16—Measuring radiation intensity
- G01T1/161—Application in the field of nuclear medicine, e.g. in vivo counting
- G01T1/164—Scintigraphy
Similar Documents
Publication | Publication Date | Title |
---|---|---|
JP3708434B2 (en) | Repetitive cone beam CT image reconstruction | |
JP2914891B2 (en) | X-ray computed tomography apparatus | |
US4991093A (en) | Method for producing tomographic images using direct Fourier inversion | |
JP2720894B2 (en) | Image reprojection method and apparatus | |
Oppenheim | Reconstruction tomography from incomplete projections | |
US6263096B1 (en) | Multilevel domain decomposition method for fast reprojection of images | |
WO1997015841A1 (en) | Multi-slice limited projection pet | |
EP0928458B1 (en) | A computer tomographic method and a computer tomograph | |
EP1264275B1 (en) | Fast hierarchical reprojection algorithm for tomography | |
Chen et al. | A new data consistency condition for fan‐beam projection data | |
WO2002026131A1 (en) | Fast hierarchical reprojection algorithms for 3d radon transforms | |
Browne et al. | Developments with maximum likelihood X-ray computed tomography | |
Yan et al. | Derivation and analysis of a filtered backprojection algorithm for cone beam projection data | |
US7856129B2 (en) | Acceleration of Joseph's method for full 3D reconstruction of nuclear medical images from projection data | |
Quinto | Local algorithms in exterior tomography | |
Zhao et al. | A new Fourier method for fan beam reconstruction | |
Brasse et al. | Fast fully 3-D image reconstruction in PET using planograms | |
Gullberg et al. | A reconstruction algorithm using singular value decomposition of a discrete representation of the exponential radon transform using natural pixels | |
Johnston et al. | GPU-based iterative reconstruction with total variation minimization for micro-CT | |
Wang et al. | Speedup OS-EM image reconstruction by PC graphics card technologies for quantitative SPECT with varying focal-length fan-beam collimation | |
JPH11267117A (en) | Image reconstruction method for three-dimensional reconstruction | |
Zeng et al. | A backprojection filtering algorithm for a spatially varying focal length collimator | |
Llacer et al. | Towards a practical implementation of the MLE algorithm for positron emission tomography | |
Reed et al. | X-ray reconstruction by finite field transforms | |
Schmidt et al. | A three‐dimensional reconstruction algorithm for an inverse‐geometry volumetric CT system |