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Main features of the tomographic reconstruction algorithm OPED.

O Tischenko1, Y Xu, C Hoeschen

  • 1Institute for Radiation Protection, Helmholtz Zentrum Muenchen-German Research Center for Environmental Health, Ingolstaedter Landstrasse 1, 85764 Neuherberg, Germany. oleg.tischenko@helmholtz-muenchen.de

Radiation Protection Dosimetry
|February 16, 2010
PubMed
Summary
This summary is machine-generated.

This study highlights the benefits of orthogonal polynomial expansion on disc (OPED) data geometry for reconstruction algorithms. It demonstrates how this geometry arises from specific parameterizations and can be directly acquired, while also detailing artifact reduction methods.

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Area of Science:

  • Data analysis and reconstruction algorithms
  • Computational mathematics and signal processing

Background:

  • Reconstruction algorithms often require specific data geometries.
  • Orthogonal polynomial expansion on disc (OPED) is a method with potential advantages for data handling.

Purpose of the Study:

  • To discuss the advantages of OPED data geometry for reconstruction algorithms.
  • To explore the origin and practicability of OPED data geometry.
  • To present a method for reducing artifacts using the algorithm's polynomial structure.

Main Methods:

  • Analysis of data geometry in the context of reconstruction algorithms.
  • Investigation of parameterization within the OPED formalism.
  • Development and summarization of an artifact reduction technique.

Main Results:

  • The geometry of data required for the reconstruction algorithm is advantageous.
  • This specific data geometry results from special parameterization in the OPED formalism.
  • The OPED data geometry is practicable and can be acquired directly.
  • A method for reducing typical artifacts using the polynomial structure of the algorithm is presented.

Conclusions:

  • The OPED data geometry offers significant advantages for reconstruction tasks.
  • Direct acquisition and inherent structure of OPED data enhance practicability.
  • The presented method effectively reduces artifacts, improving reconstruction quality.