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Computed Origami Tomography

Computed origami tomography
Authors: Axel Kittenberger; Leonidas Mindrinos; Otmar Scherzer;

Computed Origami Tomography

Abstract

In this paper, we provide assembly instructions for an easy to build experimental setup in order to gain practical experience with tomography. In view of this, this paper can be seen as a complementary work to excellent mathematical textbooks at an undergraduate level concerned with the basic mathematical principles of tomography. Since the setup uses light for tomographic imaging, the investigated objects need to be light transparent, like origami figures. In case the reader wants to experiment with computational tomographic reconstructions without assembling the device, we provide a database of several objects together with their tomographic measurements and a publicly available software. Moreover, recent advances in Cryo-imaging enabled three-dimensional high-resolution visualization of single particles, such as for instance viruses. To exemplify, and experience, single particle Cryo-electron microscopy we provide an advanced assembly, which we use to generate data simulating a Cryo-recording. We also discuss some of the major practical difficulties for reconstructing particles from Cryo-microscopic data.

13 pages, 14 figures

Country
Austria
Keywords

101028 Mathematical modelling, data simulation, reconstruction, Image and Video Processing (eess.IV), 44A12, 97M10, 68-04, 97M60, Electrical Engineering and Systems Science - Image and Video Processing, Modeling and interdisciplinarity (aspects of mathematics education), educational report, INTEGRAL GEOMETRY, Biology, chemistry, medicine (aspects of mathematics education), open source software, cryo-microscopy, FOS: Electrical engineering, electronic engineering, information engineering, 101028 Mathematische Modellierung, SPIKE, X-ray tomography, Radon transform

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    popularity
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    Top 10%
    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
132
Top 10%
Top 10%
Top 0.1%
Green