Image reconstruction from limited or incomplete data
A system and method are provided for reconstructing images from limited or incomplete data, such as few view data or limited angle data or truncated data generated from divergent beams. The method and apparatus may iteratively constrain the variation of an estimated image in order to reconstruct the image. To reconstruct an image, a first estimated image may be generated. Estimated data may be generated from the first estimated image, and compared with the actual data. The comparison of the estimated data with the actual data may include determining a difference between the estimated and actual data. The comparison may then be used to generate a new estimated image. For example, the first estimated image may be combined with an image generated from the difference data to generate a new estimated image. To generate the image for the next iteration, the variation of the new estimated image may be constrained.
1. An imaging system configured to generate an image of a region of interest (ROI), the imaging system comprising:
a source configured to generate a beam;
one or more detectors; and
a processor in communication with the source and the one or more detectors, the processor configured to:
control the source and the one or more detectors in order to generate ROI data corresponding to the ROI, the ROI data comprising erroneous data based on one or more defects in the one or more detectors; and
generate an estimated image of the ROI based on ROI data.
2. The system of claim 1 , wherein the one or more defects comprise one or more bad detector bins in at least one of the one or more detectors.
3. The system of claim 2 , wherein the erroneous data comprises one or more gaps in the ROI data due to the one or more bad detector bins.
4. The system of claim 3 , wherein the one or more gaps in the ROI data comprise data indicative of zero intensity.
5. The system of claim 1 , wherein one or more of the defects comprises an artifact-producing error in at least one of the one or more detectors.
6. The system of claim 1 , wherein the erroneous data comprises a gap on the one or more detectors for all available projection views.
7. The system of claim 1 , wherein the ROI data is less than that sufficient to reconstruct an exact image of the ROI.
8. The system of claim 1 , wherein the processor is configured to generate the estimated image of the ROI by iteratively generating the estimated image using the ROI data and constraining variation of the estimated image.
9. The system of claim 1 , wherein location and extent of the one or more defects is known prior to generating an estimated image of the ROI.
10. The system of claim 1 , wherein location and extent of the one or more defects is unknown prior to generating an estimated image of the ROI.
11. The system of claim 1 , wherein the one or more defects comprise poor quantum efficiency of at least one of the one or more detectors.
12. The system of claim 1 , wherein the erroneous data comprises low photon count by one or more detectors such that the signal noise dominates due to the poor quantum efficiency the at least one of the one or more detectors.
13. The system of claim 1 , where the one or more detectors are stationary when the ROI data is generated.
14. The system of claim 1 , where the processor is configured to control the one or more detectors by moving the one or more detectors relative to any one, or both, of the source and ROI.
15. The system of claim 1 , wherein the ROI includes all of or only a part of an object.
16. The system of claim 15 , wherein the object is a living object.
17. The system of claim 15 , wherein the object is a non-living object.
18. The system of claim 1 , wherein the ROI is an entire living organism.
19. The system of claim 1 , wherein the ROI is a part of a living organism which is less than the entire living organism.
20. The system of claim 1 , wherein the ROI is an entire inanimate object.
21. The system of claim 1 , wherein the ROI is a part of an inanimate object which is less than the entire inanimate object.