Reconstruction in diffraction ultrasound tomography using nonuniform FFT

Michael M. Bronstein*, Alexander M. Bronstein, Michael Zibulevsky, Haim Azhari

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We show an iterative reconstruction framework for diffraction ultrasound tomography. The use of broad-band illumination allows significant reduction of the number of projections compared to straight ray tomography. The proposed algorithm makes use of forward nonuniform fast Fourier transform (NUFFT) for iterative Fourier inversion. Incorporation of total variation regularization allows the reduction of noise and Gibbs phenomena while preserving the edges. The complexity of the NUFFT-based reconstruction is comparable to the frequency-domain interpolation (gridding) algorithm, whereas the reconstruction accuracy (in sense of the L2 and the L norm) is better.

Original languageEnglish
Pages (from-to)1395-1401
Number of pages7
JournalIEEE Transactions on Medical Imaging
Issue number11
StatePublished - Nov 2002
Externally publishedYes


FundersFunder number
Israeli Ministry of Science
Ollendorff Minerva Center
Technion-Israel Institute of Technology


    • Acoustic diffraction tomography
    • Image reconstruction
    • Nonuniform fast Fourier transform (NUFFT)


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