Noise propagation in diffraction tomography: comparison of conventional algorithms with a new reconstruction algorithm

Mark A. Anastasio, Matthew A. Kupinski, Xiaochuan Pan

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

In ultrasonic diffraction tomography, ultrasonic waves are used to probe the object of interest at various angles. The incident waves scatter when encountering inhomogeneities, unlike conventional X-ray CT. Theoretically, when the scattering inhomogeneities are considered weak, the scattering object can be reconstructed by algorithms developed from a generalized central slice theorem. We develop a hybrid algorithm for reconstruction of a scattering object by transforming the scattered data into a conventional X-ray-like sinogram thus allowing standard X-ray reconstruction algorithms, such as filtered back-projection, to be applied. We investigate the statistical properties of the filtered back-propagation, direct Fourier, and newly proposed hybrid reconstruction algorithms by performing analytical as well as numerical studies.

Original languageEnglish (US)
Pages (from-to)2216-2223
Number of pages8
JournalIEEE Transactions on Nuclear Science
Volume45
Issue number4 PART 2
DOIs
StatePublished - 1998
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Nuclear Energy and Engineering
  • Electrical and Electronic Engineering

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