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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.)

A Backprojection Slice Theorem for Tomographic Reconstruction

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Author(s):
Miqueles, Eduardo [1] ; Koshev, Nikolay [2] ; Helou, Elias S. [2]
Total Authors: 3
Affiliation:
[1] Brazilian Ctr Res Energy & Mat, Brazilian Synchrotron Light Lab, BR-13083970 Sao Paulo - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: IEEE Transactions on Image Processing; v. 27, n. 2, p. 894-906, FEB 2018.
Web of Science Citations: 11
Abstract

Fast image reconstruction techniques are becoming important with the increasing number of scientific cases in high resolution micro and nano tomography. The processing of the large scale 3D data demands new mathematical tools for the tomographic reconstruction. Due to the high computational complexity of most current algorithms, big data sizes demands powerful hardware and more sophisticated numerical techniques. Several reconstruction algorithms are dependent on a mathematical tool called backprojection (a transposition process). A conventional implementation of the backprojection operator has cubic computational complexity. In the present manuscript we propose a new fast backprojection operator for the processing of tomographic data, providing a low-cost algorithm for this task. We compare our formula against other fast transposition techniques, using real and simulated large data sets. (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: 14/22040-7 - Rapid rear projection techniques applied to micro-tomography by synchrotron illumination
Grantee:Nikolay Koshev
Support Opportunities: Scholarships in Brazil - Post-Doctoral
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