Noise properties of reconstructed images in ultrasonic diffraction tomography

Mark Anastasio, Matthew Kupinski, Xiaochuan Pan

Research output: Contribution to conferencePaperpeer-review


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)
Number of pages5
StatePublished - 1997
Externally publishedYes
EventProceedings of the 1997 IEEE Nuclear Science Symposium - Albuquerque, NM, USA
Duration: Nov 9 1997Nov 15 1997


OtherProceedings of the 1997 IEEE Nuclear Science Symposium
CityAlbuquerque, NM, USA

ASJC Scopus subject areas

  • General Engineering


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