A new reconstruction approach for reflection mode diffraction tomography

Mark A. Anastasio, Xiaochuan Pan

Research output: Contribution to journalArticlepeer-review


Reflection mode diffraction tomography (RM DT) is an inversion scheme used to reconstruct the acoustical refractive index distribution of a scattering object. In this work, we reveal the existence of statistically complementary information inherent in the back scattered data and propose reconstruction algorithms that exploit this information for achieving a bias-free reduction of image variance in RM DT images. Such a reduction of image variance can potentially enhance the detectability of subtle image features when the signal-to-noise ratio of the measured scattered data is low in RM DT. The proposed reconstruction algorithms are mathematically identical, but they propagate noise and numerical errors differently. We investigate theoretically, and validate numerically, the noise properties of images reconstructed using one of the reconstruction algorithms for several different multifrequency sources and uncorrelated data noise.

Original languageEnglish (US)
Pages (from-to)1262-1271
Number of pages10
JournalIEEE Transactions on Image Processing
Issue number7
StatePublished - Jul 2000
Externally publishedYes


  • Diffraction tomography
  • Image reconstruction
  • Inverse scattering
  • Radon transform

ASJC Scopus subject areas

  • Software
  • General Medicine
  • Computer Graphics and Computer-Aided Design


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