Inversion of an integral transform associated with tomography in radar detection

E. Feig, F. P. Greenleaf

Research output: Contribution to journalArticlepeer-review

Abstract

The integral transform, F( mu , nu )= integral -infinity infinity D( eta mu , eta + nu ) exp(i mu eta 2)d eta applied to functions D(x, y) on the plane, arises when one applies tomographic reconstruction techniques to problems in radar detection. The authors show that this transform can be inverted to reconstruct the superposition D+D composed with A, where A is a fixed linear transformation of the plane. In the case relevant to applications, where D(x, y) is real valued and vanishes on the half plane x<0, D itself can be reconstructed.

Original languageEnglish (US)
Article number008
Pages (from-to)405-411
Number of pages7
JournalInverse Problems
Volume2
Issue number4
DOIs
StatePublished - 1986

ASJC Scopus subject areas

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

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