Reconstructing Crystalline Structures from Few Images Under High Resolution Transmission Electron Microscopy

Peter Gritzmann () and Sven de Vries ()
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Peter Gritzmann: Zentrum Mathematik, Technische Universität München
Sven de Vries: Zentrum Mathematik, Technische Universität München

A chapter in Mathematics — Key Technology for the Future, 2003, pp 441-459 from Springer

Abstract: Abstract The present paper is motivated by the demand from material sciences to reconstruct crystalline structures given through their images under high resolution transmission electron microscopy (HRTEM) in a certain limited number of directions. In particular, [31] and [22] show how a quantitative analysis of images from high resolution transmission electron microscopy can be used to determine the number of atoms on atomic columns in certain directions; see Sects. 2 and 3. Mathematically, this leads to the problem of reconstructing finite lattice sets from certain of their marginal sums; see Sect. 4.

Keywords: High Resolution Transmission Electron Microscopy; Crystalline Structure; High Resolution Transmission Electron Microscopy; Uniqueness Result; Reconstruction Problem (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55753-8_36

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DOI: 10.1007/978-3-642-55753-8_36

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