Noise properties of reconstructed images in ultrasonic diffraction tomography

Mark Anastasio, Matthew A Kupinski, Xiaochuan Pan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (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, and thus do not travel in straight lines through the imaged object. When the scattering inhomogeneities are considered weak, the scattering object can be reconstructed by algorithms developed from a generalized central slice theorem. In this work, we develop a hybrid algorithm for reconstruction of a scattering object by transforming the measured 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 systematically investigate and compare the statistical properties of three different algorithms: a direct Fourier inversion algorithm, the filtered back-propagation algorithm (which is analogous to the conventional filtered back-projection algorithm), and the newly developed hybrid algorithm. We derive analytical expressions for the variance of the noise in the reconstructed images and investigate the noise properties of the algorithms by performing extensive numerical simulations.

Original languageEnglish (US)
Title of host publicationIEEE Nuclear Science Symposium & Medical Imaging Conference
EditorsO. Nalcioglu
PublisherIEEE
Pages1561-1565
Number of pages5
Volume2
StatePublished - 1997
Externally publishedYes
EventProceedings of the 1997 IEEE Nuclear Science Symposium - Albuquerque, NM, USA
Duration: Nov 9 1997Nov 15 1997

Other

OtherProceedings of the 1997 IEEE Nuclear Science Symposium
CityAlbuquerque, NM, USA
Period11/9/9711/15/97

Fingerprint

Ultrasonic diffraction
Tomography
Scattering
X rays
Backpropagation algorithms
Ultrasonic waves

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Anastasio, M., Kupinski, M. A., & Pan, X. (1997). Noise properties of reconstructed images in ultrasonic diffraction tomography. In O. Nalcioglu (Ed.), IEEE Nuclear Science Symposium & Medical Imaging Conference (Vol. 2, pp. 1561-1565). IEEE.

Noise properties of reconstructed images in ultrasonic diffraction tomography. / Anastasio, Mark; Kupinski, Matthew A; Pan, Xiaochuan.

IEEE Nuclear Science Symposium & Medical Imaging Conference. ed. / O. Nalcioglu. Vol. 2 IEEE, 1997. p. 1561-1565.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Anastasio, M, Kupinski, MA & Pan, X 1997, Noise properties of reconstructed images in ultrasonic diffraction tomography. in O Nalcioglu (ed.), IEEE Nuclear Science Symposium & Medical Imaging Conference. vol. 2, IEEE, pp. 1561-1565, Proceedings of the 1997 IEEE Nuclear Science Symposium, Albuquerque, NM, USA, 11/9/97.
Anastasio M, Kupinski MA, Pan X. Noise properties of reconstructed images in ultrasonic diffraction tomography. In Nalcioglu O, editor, IEEE Nuclear Science Symposium & Medical Imaging Conference. Vol. 2. IEEE. 1997. p. 1561-1565
Anastasio, Mark ; Kupinski, Matthew A ; Pan, Xiaochuan. / Noise properties of reconstructed images in ultrasonic diffraction tomography. IEEE Nuclear Science Symposium & Medical Imaging Conference. editor / O. Nalcioglu. Vol. 2 IEEE, 1997. pp. 1561-1565
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