Enhancement of precision and reduction of measuring points in tomographic reconstructions

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....

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Bibliographic Details
Published in:Physics letters. A 2011-02, Vol.375 (8), p.1167-1171
Main Authors: Lustfeld, H., Hirschfeld, J.A., Reißel, M., Steffen, B.
Format: Article
Language:English
Subjects:
Atomic structure
Bars
Error analysis
Error detection
Fuel cells
Image reconstruction
Inverse problems
Permissible error
Reconstruction
Solid state physics
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Summary: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.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2011.01.015