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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Fast projection/backprojection and incremental methods applied to synchrotron light tomographic reconstruction

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de Lima, Camila [1] ; Helou, Elias Salomao [1]
Total Authors: 2
[1] Univ Sao Paulo, Inst Math Sci & Computat, Sao Paulo, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: JOURNAL OF SYNCHROTRON RADIATION; v. 25, n. 1, p. 248-256, JAN 2018.
Web of Science Citations: 0

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:José Alberto Cuminato
Support type: 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 type: Scholarships in Brazil - Doctorate
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 type: Regular Research Grants
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 type: Scholarships abroad - Research