This title appears in the Scientific Report : 2011 

Enhancement of precision and reduction of measuring points in tomographic reconstructions
Lustfeld, H.
Hirschfeld, J. A. / Reißel, M. / Steffen, B.
Quanten-Theorie der Materialien; PGI-1
Jülich Supercomputing Center; JSC
Quanten-Theorie der Materialien; IAS-1
Physics letters / A, 375 (2011) S. 1167 - 1171
Amsterdam North-Holland Publ. 2011
1167 - 1171
Journal Article
Computational Science and Mathematical Methods
Scientific Computing
Grundlagen für zukünftige Informationstechnologien
Physics Letters A 375
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Accurate external measurements are required in tomographic problems to obtain a reasonable knowledge of the internal structures. Crucial is the distribution of the external measuring points. We suggest a procedure how to systematically optimize this distribution viz, to increase the precision (i.e. to shrink error bars) of the reconstruction by detecting the important and by eliminating the irrelevant measuring points. In a realistic numerical example we apply our scheme to magnetotomography of fuel cells. The result is striking: Starting from a smooth distribution of measuring points on a surface of a cuboid around the fuel cell, the number of measuring points can systematically be reduced by more than 90%. At the same time the precision increases by a factor of nearly 3. (C) 2011 Elsevier B.V. All rights reserved.