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Enhancement of precision and reduction of measuring points in tomographic reconstructions

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2011
North-Holland Publ. Amsterdam

Physics letters / A 375, 1167 - 1171 () [10.1016/j.physleta.2011.01.015]

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Abstract: 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.

Keyword(s): J ; Inverse problems (auto) ; Image reconstruction (auto) ; Fuel cells (auto)


Note: Record converted from VDB: 12.11.2012

Contributing Institute(s):
  1. Quanten-Theorie der Materialien (PGI-1)
  2. Quanten-Theorie der Materialien (IAS-1)
  3. Jülich Supercomputing Centre (JSC)
Research Program(s):
  1. Grundlagen für zukünftige Informationstechnologien (FUEK412) (FUEK412)
  2. Scientific Computing (FUEK411) (FUEK411)
  3. 411 - Computational Science and Mathematical Methods (POF2-411) (POF2-411)

Appears in the scientific report 2011
Notes: FE-Bereich
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