A fully three-dimensional reconstruction algorithm with the nonstationary filter for improved single-orbit cone beam SPECT
Conventional single-orbit cone beam tomography suffers from incomplete sampling and an inadequate three-dimensional (3D) reconstruction algorithm. The commonly used Feldkamp reconstruction algorithm simply extends the two-dimensional (2D) fan beam algorithm to 3D cone beam geometry. A truly 3D recon...
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| Vydané v: | IEEE transactions on nuclear science Ročník 40; číslo 3; s. 280 - 287 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York, NY
IEEE
01.06.1993
Institute of Electrical and Electronics Engineers |
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| ISSN: | 0018-9499, 1558-1578 |
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| Abstract | Conventional single-orbit cone beam tomography suffers from incomplete sampling and an inadequate three-dimensional (3D) reconstruction algorithm. The commonly used Feldkamp reconstruction algorithm simply extends the two-dimensional (2D) fan beam algorithm to 3D cone beam geometry. A truly 3D reconstruction formulation based on the 3D Fourier slice theorem is derived for a single-orbit cone beam SPECT. In the formulation, a nonstationary filter which depends on the distance from the central plane of the cone beam is derived and applied to the 2D projection data in directions along and normal to the axis of rotation. This algorithm was evaluated using both computer simulation and experimental measurements. Significant improvement in image quality was demonstrated in terms of decreased artifacts and distortions in cone beam reconstructed images. However, compared with the Feldkamp algorithm, a fivefold increase in processing time is required.< > |
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| AbstractList | Conventional single-orbit cone beam tomography suffers from incomplete sampling and an inadequate three-dimensional (3D) reconstruction algorithm. The commonly used Feldkamp reconstruction algorithm simply extends the two-dimensional (2D) fan beam algorithm to 3D cone beam geometry. A truly 3D reconstruction formulation based on the 3D Fourier slice theorem is derived for a single-orbit cone beam SPECT. In the formulation, a nonstationary filter which depends on the distance from the central plane of the cone beam is derived and applied to the 2D projection data in directions along and normal to the axis of rotation. This algorithm was evaluated using both computer simulation and experimental measurements. Significant improvement in image quality was demonstrated in terms of decreased artifacts and distortions in cone beam reconstructed images. However, compared with the Feldkamp algorithm, a fivefold increase in processing time is required.< > Conventional single-orbit cone beam tomography presents special problems. They include incomplete sampling and inadequate three-dimensional (3D) reconstruction algorithm. The commonly used Feldkamp reconstruction algorithm simply extends the two-dimensional (2D) fan beam algorithm to 3D cone beam geometry. A truly 3D reconstruction formulation has been derived for the single-orbit cone beam SPECT based on the 3D Fourier slice theorem. In the formulation, a nonstationary filter which depends on the distance from the central plane of the cone beam was derived. The filter is applied to the 2D projection data in directions along and normal to the axis-of-rotation. The 3D reconstruction algorithm with the nonstationary filter was evaluated using both computer simulation and experimental measurements. Significant improvement in image quality was demonstrated in terms of decreased artifacts and distortions in cone beam reconstructed images. However, compared with the Feldkamp algorithm, a five-fold increase in processing time is required. Further improvement in image quality needs complete sampling in frequency space. Conventional single-orbit cone beam tomography suffers from incomplete sampling and an inadequate three-dimensional (3D) reconstruction algorithm. The commonly used Feldkamp reconstruction algorithm simply extends the two-dimensional (2D) fan beam algorithm to 3D cone beam geometry. A truly 3D reconstruction formulation based on the 3D Fourier slice theorem is derived for a single-orbit cone beam SPECT. In the formulation, a nonstationary filter which depends on the distance from the central plane of the cone beam is derived and applied to the 2D projection data in directions along and normal to the axis of rotation. This algorithm was evaluated using both computer simulation and experimental measurements. Significant improvement in image quality was demonstrated in terms of decreased artifacts and distortions in cone beam reconstructed images. However, compared with the Feldkamp algorithm, a fivefold increase in processing time is required |
| Author | Tsui, B.M.W. Cao, Z.J. |
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| Cites_doi | 10.1109/TMI.1985.4307689 10.1109/23.12804 10.1364/JOSAA.1.000612 10.1216/RMJ-1980-10-1-253 10.1118/1.595854 10.1137/0143035 10.1090/psapm/027/692050 10.1016/S0010-4825(83)80001-8 10.1117/12.55621 10.1109/TNS.1979.4330200 |
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| Keywords | Radionuclide study Test objet Computer simulation Image processing Filter Three dimensional space Experimental study Algorithm Photon Positron emission tomography Image reconstruction Biomedical engineering |
| Language | English |
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| References | ref13 jaszczak (ref2) 1988; 29 ref12 orlov (ref5) 1975; 20 ref11 gilland (ref14) 1988; 29 ref10 ref1 smith (ref8) 1982; 27 ref7 ref9 ref3 ref6 kirillov (ref4) 1961; 2 |
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| SubjectTerms | 550602 - Medicine- External Radiation in Diagnostics- (1980-) ALGORITHMS Biological and medical sciences BIOMEDICAL RADIOGRAPHY Collimators COMPUTERIZED SIMULATION COMPUTERIZED TOMOGRAPHY DIAGNOSTIC TECHNIQUES DIGITAL FILTERS EMISSION COMPUTED TOMOGRAPHY EVALUATION Filters Frequency Geometry IMAGE PROCESSING Image quality Image reconstruction Image sampling Investigative techniques, diagnostic techniques (general aspects) MATHEMATICAL LOGIC Medical sciences MEDICINE Miscellaneous. Technology NUCLEAR MEDICINE PROCESSING RADIOLOGY RADIOLOGY AND NUCLEAR MEDICINE Radionuclide investigations Reconstruction algorithms SAMPLING Sampling methods SIMULATION SINGLE PHOTON EMISSION COMPUTED TOMOGRAPHY TOMOGRAPHY |
| Title | A fully three-dimensional reconstruction algorithm with the nonstationary filter for improved single-orbit cone beam SPECT |
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