A General Formula for Fan-Beam Lambda Tomography
<p>Lambda tomography (LT) is to reconstruct a gradient-like image of an object only from local projection data. It is potentially an important technology for medical X-ray computed tomography (CT) at a reduced radiation dose. In this paper, we prove the first general formula for exact and effi...
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| Format: | Article |
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| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Biomedical Imaging |
| Online Access: | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/IJBI/2006/10427 |
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| collection | DOAJ |
| description | <p>Lambda tomography (LT) is to reconstruct a gradient-like image of an object only from local projection data. It is potentially an important technology for medical X-ray computed tomography (CT) at a reduced radiation dose. In this paper, we prove the first general formula for exact and efficient fan-beam LT from data collected along any smooth curve based on even and odd data extensions. As a result, an LT image can be reconstructed without involving any data extension. This implies that structures outside a scanning trajectory do not affect the exact reconstruction of points inside the trajectory even if the data may be measured through the outside features. The algorithm is simulated in a collinear coordinate system. The results support our theoretical analysis.</p> |
| format | Article |
| id | doaj-art-da3ca25a296d4d949e55d849ef8102de |
| institution | Kabale University |
| issn | 1687-4188 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Biomedical Imaging |
| spelling | doaj-art-da3ca25a296d4d949e55d849ef8102de2025-08-20T03:24:25ZengWileyInternational Journal of Biomedical Imaging1687-41882006-01-012006A General Formula for Fan-Beam Lambda Tomography<p>Lambda tomography (LT) is to reconstruct a gradient-like image of an object only from local projection data. It is potentially an important technology for medical X-ray computed tomography (CT) at a reduced radiation dose. In this paper, we prove the first general formula for exact and efficient fan-beam LT from data collected along any smooth curve based on even and odd data extensions. As a result, an LT image can be reconstructed without involving any data extension. This implies that structures outside a scanning trajectory do not affect the exact reconstruction of points inside the trajectory even if the data may be measured through the outside features. The algorithm is simulated in a collinear coordinate system. The results support our theoretical analysis.</p>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/IJBI/2006/10427 |
| spellingShingle | A General Formula for Fan-Beam Lambda Tomography International Journal of Biomedical Imaging |
| title | A General Formula for Fan-Beam Lambda Tomography |
| title_full | A General Formula for Fan-Beam Lambda Tomography |
| title_fullStr | A General Formula for Fan-Beam Lambda Tomography |
| title_full_unstemmed | A General Formula for Fan-Beam Lambda Tomography |
| title_short | A General Formula for Fan-Beam Lambda Tomography |
| title_sort | general formula for fan beam lambda tomography |
| url | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/IJBI/2006/10427 |