Reconstruction of tomographic images from limited range projections using discrete Radon transform and Tchebichef moments
This paper presents an image reconstruction method for X-ray tomography from limited range projections. It makes use of the discrete Radon transform and a set of discrete orthogonal Tchebichef polynomials to define the projection moments and the image moments. By establishing the relationship betwee...
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| Veröffentlicht in: | Pattern recognition 2010-03, Vol.43 (3), p.1152-1164 |
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| container_end_page | 1164 |
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| container_issue | 3 |
| container_start_page | 1152 |
| container_title | Pattern recognition |
| container_volume | 43 |
| creator | Dai, X.B. Shu, H.Z. Luo, L.M. Han, G.N. Coatrieux, J.L. |
| description | This paper presents an image reconstruction method for X-ray tomography from limited range projections. It makes use of the discrete Radon transform and a set of discrete orthogonal Tchebichef polynomials to define the projection moments and the image moments. By establishing the relationship between these two sets of moments, we show how to estimate the unknown projections from known projections in order to improve the image reconstruction. Simulation results are provided in order to validate the method and to compare its performance with some existing algorithms. |
| doi_str_mv | 10.1016/j.patcog.2009.07.009 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0031-3203 |
| ispartof | Pattern recognition, 2010-03, Vol.43 (3), p.1152-1164 |
| issn | 0031-3203 1873-5142 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Applied sciences Bioengineering Computer Science Discrete orthogonal moments Discrete Radon transform Engineering Sciences Exact sciences and technology Image processing Image reconstruction Imaging Information, signal and communications theory Life Sciences Mathematics Projection moments Representation Theory Signal and Image processing Signal processing Telecommunications and information theory |
| title | Reconstruction of tomographic images from limited range projections using discrete Radon transform and Tchebichef moments |
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