Abstract

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(infinity) norm) is better.

Keywords

Diffraction tomographyFast Fourier transformIterative reconstructionTomographyAlgorithmTotal variation denoisingInterpolation (computer graphics)Fourier transformIterative methodFrequency domainNoise reductionReduction (mathematics)Inverse problemComputer scienceDiffractionMathematicsComputer visionOpticsMathematical analysisPhysicsImage (mathematics)Geometry

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Publication Info

Year
2002
Type
article
Volume
21
Issue
11
Pages
1395-1401
Citations
109
Access
Closed

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Cite This

Michael M. Bronstein, Alex Bronstein, Michael Zibulevsky et al. (2002). Reconstruction in diffraction ultrasound tomography using nonuniform FFT. IEEE Transactions on Medical Imaging , 21 (11) , 1395-1401. https://doi.org/10.1109/tmi.2002.806423

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DOI
10.1109/tmi.2002.806423