Attenuation map reconstruction from TOF PET data
US-9600910-B2 · Mar 21, 2017 · US
US9805481B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9805481-B2 |
| Application number | US-201615004293-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jan 22, 2016 |
| Priority date | Jan 22, 2016 |
| Publication date | Oct 31, 2017 |
| Grant date | Oct 31, 2017 |
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Reconstructing under-sampled PCT data includes obtaining under-sampled scan data of a subject-under-test, the object scan performed on a phase contrast computed tomography (PCT) system, performing a regularized Fourier analysis on the under-sampled scan data, correcting for one or more PCT system contributions to the under-sampled scan data by dividing the computed Fourier coefficients by Fourier coefficients representative of the one or more PCT system contributions, obtaining at least one of an absorption sinogram, a differential phase sinogram, and a dark field sinogram from the corrected Fourier coefficients, and performing tomographic reconstruction on the obtained absorption sinogram, the obtained differential phase sinogram, and the obtained dark field sinogram. A system and non-transitory computer readable medium are also disclosed.
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The invention claimed is: 1. A method for reconstructing under-sampled phase contrast computed tomography data, the method comprising: obtaining under-sampled scan data of a subject-under-test, the object scan performed on a phase contrast computed tomography (PCT) system; performing a regularized Fourier analysis on the under-sampled scan data; correcting for one or more PCT system contributions to the under-sampled scan data by dividing the computed Fourier coefficients by Fourier coefficients representative of the one or more PCT system contributions; obtaining at least one of an absorption sinogram, a differential phase sinogram, and a dark field sinogram from the corrected Fourier coefficients; and performing tomographic reconstruction on the obtained absorption sinogram, the obtained differential phase sinogram, and the obtained dark field sinogram. 2. The method of claim 1 , including collecting the under-sampled object scan data in a randomized manner. 3. The method of claim 1 , including obtaining the Fourier coefficients representative of the one or more PCT system contributions by performing an air scan. 4. The method of claim 1 , wherein the dividing step corrects the computed Fourier coefficients for PCT system non-homogeneities. 5. The method of claim 1 , the regularized Fourier analysis step including solving a minimization equation expressed as min a M ℱ H a - d + R ( a ) . 6. The method of claim 1 , wherein the regularized Fourier analysis step includes the correcting step. 7. The method of claim 6 , including the regularized Fourier analysis step including solving a minimization equation expressed as min b M ℱ H Cb - d + R ( b ) . 8. A non-transitory computer-readable medium having stored thereon instructions which when executed by a processor cause the processor to perform a method for reconstructing under-sampled phase contrast computed tomography data, the method comprising: obtaining under-sampled scan data of a subject-under-test, the object scan performed on a phase contrast computed tomography (PCT) system; performing a regularized Fourier analysis on the under-sampled scan data; computing Fourier coefficients for the under-sampled scan data; correcting for one or more PCT system contributions to the under-sampled scan data by dividing the computed Fourier coefficients by Fourier coefficients representative of the one or more PCT system contributions; obtaining at least one of an absorption sinogram, a differential phase sinogram, and a dark field sinogram from the corrected Fourier coefficients; and performing tomographic reconstruction on the obtained absorption sinogram, the obtained differential phase sinogram, and the obtained dark field sinogram. 9. The non-transitory computer-readable medium of claim 8 , including instructions to cause the processor to collect the under-sampled object scan data in a randomized manner. 10. The non-transitory computer-readable medium of claim 8 , including instructions to cause the processor to obtain the Fourier coefficients representative of the one or more PCT system contributions by performing an air scan. 11. The non-transitory computer-readable medium of claim 8 , including instructions to cause the processor to correct the computed Fourier coefficients for PCT system non-homogeneities during the dividing step. 12. The non-transitory computer-readable medium of claim 8 , including instructions to cause the processor to perform the regularized Fourier analysis step by solving a minimization equation expressed as min a M ℱ H a - d + R ( a ) . 13. The non-transitory computer-readable medium of claim 8 , including instructions to cause the processor to combine the regularized Fourier analysis step and the correcting step. 14. The non-transitory computer-readable medium of claim 13 , including instructions to cause the processor to perform the regularized Fourier analysis step by solving a minimization equation expressed as min b M ℱ H Cb - d + R
Inverse problem, i.e. transformations from projection space into object space · CPC title
Image preprocessing, e.g. calibration, positioning of sources or scatter correction · CPC title
image processing · CPC title
Computed tomography · CPC title
using tomography, e.g. computed tomography [CT] · CPC title
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