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Inversion of the X-ray transform from limited angle parallel beam region of interest data with applications to electron tomography
Sidec, Kista, Sweden.ORCID iD: 0000-0002-1118-6483
Tufts University. (Department of Mathematics)
2007 (English)In: Proceedings in Applied Mathematics and Mechanics: PAMM, ISSN 1617-7061, E-ISSN 1617-7061, Vol. 7, no 1, 1050301-1050302 p.Article in journal (Refereed) Published
Abstract [en]

We present a new local tomographic algorithm applicable to electron microscopy tomography. Our algorithm applies to the standard data acquisition method, single-axis tilting, as well as for more arbitrary acquisition methods. Using microlocal analysis we put the reconstructions in a mathematical context, explaining which singularities are stably visible from the limited data given by the data collection protocol in the electron microscope.

Place, publisher, year, edition, pages
Wiley-VCH Verlagsgesellschaft, 2007. Vol. 7, no 1, 1050301-1050302 p.
Keyword [en]
Microlocal analysis, limited angle tomography, local tomography, electron tomography, lambda tomography
National Category
Mathematical Analysis
Research subject
SRA - E-Science (SeRC); SRA - ICT; SRA - Molecular Bioscience
Identifiers
URN: urn:nbn:se:kth:diva-71131DOI: 10.1002/pamm.200700762OAI: oai:DiVA.org:kth-71131DiVA: diva2:486601
Funder
Swedish e‐Science Research Center
Note
QC 20120131Available from: 2012-01-30 Created: 2012-01-30 Last updated: 2017-12-08Bibliographically approved

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Öktem, Ozan

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