3D image reconstruction from X-ray measurements with overlap
3D image reconstruction from a set of X-ray projections is an important image reconstruction problem, with applications in medical imaging, industrial inspection and airport security. The innovation of X-ray emitter arrays allows for a novel type of X-ray scanners with multiple simultaneously emitti...
| Main Authors: | , |
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| Format: | Conference item |
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Springer, Cham
2016
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| _version_ | 1826286799741255680 |
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| author | Klodt, M Hauser, R |
| author_facet | Klodt, M Hauser, R |
| author_sort | Klodt, M |
| collection | OXFORD |
| description | 3D image reconstruction from a set of X-ray projections is an important image reconstruction problem, with applications in medical imaging, industrial inspection and airport security. The innovation of X-ray emitter arrays allows for a novel type of X-ray scanners with multiple simultaneously emitting sources. However, two or more sources emitting at the same time can yield measurements from overlapping rays, imposing a new type of image reconstruction problem based on nonlinear constraints. Using traditional linear reconstruction methods, respective scanner geometries have to be implemented such that no rays overlap, which severely restricts the scanner design. We derive a new type of 3D image reconstruction model with nonlinear constraints, based on measurements with overlapping X-rays. Further, we show that the arising optimization problem is partially convex, and present an algorithm to solve it. Experiments show highly improved image reconstruction results from both simulated and real-world measurements. |
| first_indexed | 2024-03-07T01:49:06Z |
| format | Conference item |
| id | oxford-uuid:9973f1bb-8c74-4b14-bcdb-d73f1a645e86 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:49:06Z |
| publishDate | 2016 |
| publisher | Springer, Cham |
| record_format | dspace |
| spelling | oxford-uuid:9973f1bb-8c74-4b14-bcdb-d73f1a645e862022-03-27T00:14:23Z3D image reconstruction from X-ray measurements with overlapConference itemhttp://purl.org/coar/resource_type/c_5794uuid:9973f1bb-8c74-4b14-bcdb-d73f1a645e86Symplectic Elements at OxfordSpringer, Cham2016Klodt, MHauser, R3D image reconstruction from a set of X-ray projections is an important image reconstruction problem, with applications in medical imaging, industrial inspection and airport security. The innovation of X-ray emitter arrays allows for a novel type of X-ray scanners with multiple simultaneously emitting sources. However, two or more sources emitting at the same time can yield measurements from overlapping rays, imposing a new type of image reconstruction problem based on nonlinear constraints. Using traditional linear reconstruction methods, respective scanner geometries have to be implemented such that no rays overlap, which severely restricts the scanner design. We derive a new type of 3D image reconstruction model with nonlinear constraints, based on measurements with overlapping X-rays. Further, we show that the arising optimization problem is partially convex, and present an algorithm to solve it. Experiments show highly improved image reconstruction results from both simulated and real-world measurements. |
| spellingShingle | Klodt, M Hauser, R 3D image reconstruction from X-ray measurements with overlap |
| title | 3D image reconstruction from X-ray measurements with overlap |
| title_full | 3D image reconstruction from X-ray measurements with overlap |
| title_fullStr | 3D image reconstruction from X-ray measurements with overlap |
| title_full_unstemmed | 3D image reconstruction from X-ray measurements with overlap |
| title_short | 3D image reconstruction from X-ray measurements with overlap |
| title_sort | 3d image reconstruction from x ray measurements with overlap |
| work_keys_str_mv | AT klodtm 3dimagereconstructionfromxraymeasurementswithoverlap AT hauserr 3dimagereconstructionfromxraymeasurementswithoverlap |