title: Reconstruction in diffraction ultrasound tomography using nonuniform FFT.
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.
authors.affiliation: Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel. bron@tx.technion.ac.il
authors.forename: Michael M
authors.initials: MM
authors.lastname: Bronstein
authors.forename: Alexander M
authors.initials: AM
authors.lastname: Bronstein
authors.forename: Michael
authors.initials: M
authors.lastname: Zibulevsky
authors.forename: Haim
authors.initials: H
authors.lastname: Azhari
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005583:Fourier Analysis; D007089:Image Enhancement / Q000379:methods*; D019047:Phantoms, Imaging; D012031:Refractometry / Q000379:methods; D015203:Reproducibility of Results; D012542:Scattering, Radiation; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted; D014463:Ultrasonography / Q000379:methods*