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| Content Provider | PubMed Central |
|---|---|
| Author | Schuster, T. |
| Copyright Year | 2007 |
| Abstract | The cone beam transform of a tensor field of order m in n ≥ 2 dimensions is considered. We prove that the image of a tensor field under this transform is related to a derivative of the n-dimensional Radon transform applied to a projection of the tensor field. Actually the relation we show reduces for m = 0 and n = 3 to the well-known formula of Grangeat. In that sense, the paper contains a generalization of Grangeat's formula to arbitrary tensor fields in any dimension. We further briefly explain the importance of that formula for the problem of tensor field tomography. Unfortunately, for m > 0, an inversion method cannot be derived immediately. Thus, we point out the possibility to calculate reconstruction kernels for the cone beam transform using Grangeat's formula. |
| Related Links | http://dx.doi.org/10.1155/2007/12839 |
| Starting Page | 12839 |
| File Format | |
| ISSN | 16874188 |
| e-ISSN | 16874196 |
| Journal | International Journal of Biomedical Imaging |
| Volume Number | 2007 |
| Language | English |
| Publisher | Hindawi Publishing Corporation |
| Publisher Date | 2007-01-01 |
| Access Restriction | Open |
| Rights Holder | Hindawi Publishing Corporation |
| Subject Keyword | Radiology Nuclear Medicine and imaging Research in Higher Education |
| Content Type | Text |
| Resource Type | Article |
| Subject | Radiology, Nuclear Medicine and Imaging |
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