Abstract
The Mojette transform is a form of discrete Radon transform that maps a 2D image (P ×Q pixels) to a set of I 1D projections. Several fast inversion methods exist that require O(PQI) operations but those methods are ill-conditioned. Several robust (or well-conditioned) inversion methods exist, but they are slow, requiring O(P 2 Q 2 I) operations. Ideally we require an inversion scheme that is both fast and robust to deal with noisy projections. Noisy projection data can arise from data that is corrupted in storage or by errors in data transmission, quantisation errors in image compression, or through noisy acquisition of physical projections, such as in X-ray computed tomography. This paper presents a robust reconstruction method, performed in the Fourier domain, that requires O(P 2 QlogP) operations.
| Original language | English |
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| Title of host publication | Discrete Geometry for Computer Imagery |
| Subtitle of host publication | 18th IAPR International Conference, DGCI 2014 Siena, Italy, September 10-12, 2014 Proceedings |
| Editors | Elena Barcucci, Andrea Frosini, Simone Rinaldi |
| Place of Publication | Cham Switzerlansd |
| Publisher | Springer |
| Pages | 275-284 |
| Number of pages | 10 |
| ISBN (Electronic) | 9783319099552 |
| ISBN (Print) | 9783319099545 |
| DOIs | |
| Publication status | Published - 2014 |
| Event | International Conference on Discrete Geometry for Computer Imagery 2014 - Siena, Italy Duration: 10 Sept 2014 → 12 Sept 2014 Conference number: 18th https://link.springer.com/book/10.1007/978-3-319-09955-2 (Proceedings) |
Publication series
| Name | Lecture Notes in Computer Science |
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| Publisher | Springer |
| Volume | 8668 |
| ISSN (Print) | 0302-9743 |
| ISSN (Electronic) | 1611-3349 |
Conference
| Conference | International Conference on Discrete Geometry for Computer Imagery 2014 |
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| Abbreviated title | DGCI 2014 |
| Country/Territory | Italy |
| City | Siena |
| Period | 10/09/14 → 12/09/14 |
| Internet address |
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