title: Geometric reconstruction methods for electron tomography.
abstract: Electron tomography is becoming an increasingly important tool in materials science for studying the three-dimensional morphologies and chemical compositions of nanostructures. The image quality obtained by many current algorithms is seriously affected by the problems of missing wedge artefacts and non-linear projection intensities due to diffraction effects. The former refers to the fact that data cannot be acquired over the full 180° tilt range; the latter implies that for some orientations, crystalline structures can show strong contrast changes. To overcome these problems we introduce and discuss several algorithms from the mathematical fields of geometric and discrete tomography. The algorithms incorporate geometric prior knowledge (mainly convexity and homogeneity), which also in principle considerably reduces the number of tilt angles required. Results are discussed for the reconstruction of an InAs nanowire.
authors.affiliation: Zentrum Mathematik, Technische Universität München, D-85747 Garching bei München, Germany. alpers@ma.tum.de
authors.forename: Andreas
authors.initials: A
authors.lastname: Alpers
authors.forename: Richard J
authors.initials: RJ
authors.lastname: Gardner
authors.forename: Stefan
authors.initials: S
authors.lastname: König
authors.forename: Robert S
authors.initials: RS
authors.lastname: Pennington
authors.forename: Chris B
authors.initials: CB
authors.lastname: Boothroyd
authors.forename: Lothar
authors.initials: L
authors.lastname: Houben
authors.forename: Rafal E
authors.initials: RE
authors.lastname: Dunin-Borkowski
authors.forename: Kees
authors.initials: K
authors.lastname: Joost Batenburg