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

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 1999

Fingerprint

Radon Transform
Radon
Reconstruction Algorithm
radon
Scalar, inner or dot product
projection
Projection
Orthogonal Projection
Optimal Algorithm
Range of data
Inversion
Transform
products
inversions
Class

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Projections onto the range of the exponential Radon transform and reconstruction algorithms. / Clarkson, Eric W.

In: Inverse Problems, Vol. 15, No. 2, 04.1999, p. 563-571.

Research output: Contribution to journalArticle

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