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 Citations (Scopus)

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
StatePublished - 1998
Externally publishedYes

Fingerprint

noise propagation
Tomography
tomography
Diffraction
Scattering
diffraction
X rays
Ultrasonic diffraction
inhomogeneity
scattering
x rays
Ultrasonic waves
ultrasonic radiation
Backpropagation
theorems
ultrasonics
projection
probes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Nuclear Energy and Engineering

Cite this

Noise propagation in diffraction tomography : comparison of conventional algorithms with a new reconstruction algorithm. / Anastasio, Mark A.; Kupinski, Matthew A; Pan, Xiaochuan.

In: IEEE Transactions on Nuclear Science, Vol. 45, No. 4 PART 2, 1998, p. 2216-2223.

Research output: Contribution to journalArticle

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