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A practical local tomography reconstruction algorithm based on a known sub-region.

Authors
  • Paleo, Pierre1
  • Desvignes, Michel2
  • Mirone, Alessandro1
  • 1 ESRF, 71 avenue des Martyrs, 38000 Grenoble, France. , (France)
  • 2 GIPSA-Lab, Grenoble Images Parole Signal Automatique, Institut Polytechnique de Grenoble, France. , (France)
Type
Published Article
Journal
Journal of Synchrotron Radiation
Publisher
International Union of Crystallography
Publication Date
Jan 01, 2017
Volume
24
Issue
Pt 1
Pages
257–268
Identifiers
DOI: 10.1107/S1600577516016556
PMID: 28009565
Source
Medline
Keywords
License
Unknown

Abstract

A new method to reconstruct data acquired in a local tomography setup is proposed. This method uses an initial reconstruction and refines it by correcting the low-frequency artifacts, known as the cupping effect. A basis of Gaussian functions is used to correct the initial reconstruction. The coefficients of this basis are found by optimizing iteratively a fidelity term under the constraint of a known sub-region. Using a coarse basis reduces the degrees of freedom of the problem while actually correcting the cupping effect. Simulations show that the known region constraint yields an unbiased reconstruction, in accordance with uniqueness theorems stated in local tomography.

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