| Full text | |
| Author(s): |
de Lima, Camila
;
Helou, Elias Salomao
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF SYNCHROTRON RADIATION; v. 25, p. 9-pg., 2018-01-01. |
| Abstract | |
Iterative methods for tomographic image reconstruction have the computational cost of each iteration dominated by the computation of the (back) projection operator, which take roughly O(N-3) floating point operations (flops) for N x N pixels images. Furthermore, classical iterative algorithms may take too many iterations in order to achieve acceptable images, thereby making the use of these techniques unpractical for high-resolution images. Techniques have been developed in the literature in order to reduce the computational cost of the (back) projection operator to O(N-2 logN) flops. Also, incremental algorithms have been devised that reduce by an order of magnitude the number of iterations required to achieve acceptable images. The present paper introduces an incremental algorithm with a cost of O(N-2 logN) flops per iteration and applies it to the reconstruction of very large tomographic images obtained from synchrotron light illuminated data. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 13/16762-7 - Fast Computation of the Backprojection Operator with Applications in Tomographic Image Reconstruction |
| Grantee: | Camila de Lima |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 16/24286-9 - Computational and theoretical advances in inverse problems with applications to tomographic image reconstruction |
| Grantee: | Elias Salomão Helou Neto |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 13/16508-3 - Fast computation of the generalized Backprojection operator with applications in tomographic image reconstruction |
| Grantee: | Elias Salomão Helou Neto |
| Support Opportunities: | Regular Research Grants |