Inversion of the X‐ray transform from limited angle parallel beam region of interest data with applications to electron tomography | Zendy

Öktem Ozan | Zendy; Quinto Eric Todd | Zendy

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Inversion of the X‐ray transform from limited angle parallel beam region of interest data with applications to electron tomography

Author(s) -

Öktem Ozan,

Quinto Eric Todd

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700762

Subject(s) - tomography , inversion (geology) , data acquisition , context (archaeology) , tomographic reconstruction , electron , gravitational singularity , algorithm , computer science , electron tomography , inverse problem , physics , optics , computational physics , electron microscope , mathematics , geology , mathematical analysis , scanning transmission electron microscopy , nuclear physics , seismology , paleontology , operating system , tectonics

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. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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