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Reconstruction of tomographic images from limited range projections using discrete Radon transform and Tchebichef moments

X.B. Dai, H.Z. Shu, L.M. Luo, G.N. Han, J.L. Coatrieux
2010 Pattern Recognition  
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.  ...  This paper presents an image reconstruction method for X-ray tomography from limited range projections.  ...  image reconstruction from limited range projections.  ... 
doi:10.1016/j.patcog.2009.07.009 fatcat:ag7jeob5k5dj7oy5f5fktxfxyi

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Huazhong Shu, Limin Luo, J.-L. Coatrieux
2008 IEEE Engineering in Medicine and Biology Magazine  
By establishing a relationship between the image geometric moments and projection moments, Wang and Sze [10] presented an approach to reconstruct the CT images from limited range projections.  ...  Beylkin [13] described a discrete Radon transform (DRT) to map a set of sampled image points onto a set of discrete projections.  ... 
doi:10.1109/memb.2008.927990 pmid:18799403 pmcid:PMC2586127 fatcat:aqfxhtuhxvbabjtsnqd3tvu4ke

Feature Extraction for image super-resolution using finite rate of innovation principles

Loic Baboulaz, Pier Luigi Dragotti
2008
In the first part, it is shown that the geometric moments of an observed scene can be retrieved exactly from sampled images and used as global features for registration.  ...  : moments and edges.  ...  Using the annihilating filter method, the Radon projections can be reconstructed one by one until there are enough Radon projections to allow the reconstruction of the original 2-D polynomials with convex  ... 
doi:10.25560/1351 fatcat:u6nitubqmfeudflfq3zqcuipcu