Projections onto the range of the exponential Radon transform and reconstruction algorithms

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

In recent articles Metz and Pan have introduced a large class of methods for inverting the exponential Radon transform that are parametrized by a function ω of two variables. We show that when ω satisfies a certain constraint, the corresponding inversion method uses projection to the range of the transform. The addition of another constraint on ω makes this projection orthogonal with respect to a weighted inner product. Their quasi-optimal algorithm uses the projection that is orthogonal with respect to the ordinary inner product.

Original languageEnglish (US)
Pages (from-to)563-571
Number of pages9
JournalInverse Problems
Volume15
Issue number2
DOIs
StatePublished - Apr 1 1999

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

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