Mathematical Analysis of Ultrafast Ultrasound Imaging

DOI10.1137/16M107102XzbMath1355.65123arXiv1604.04604OpenAlexW3105791087MaRDI QIDQ2954399

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Publication date: 13 January 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04604

zbMATH Keywords

wave propagationsingular value decompositionnumerical simulationbiomedical imagingBorn approximationblood flow imagingCasorati matrixultrafast ultrasound imaging

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Cell biology (92C37) Physiological flow (92C35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (5)

Nonconvex Constrained Minimisation for 3D Left Ventricular Shape Recovery Using 2D Echocardiography Data ⋮ Dynamic Spike Superresolution and Applications to Ultrafast Ultrasound Imaging ⋮ A mathematical model for the 3D location estimation of 2D echocardiography data ⋮ Reconstruction of a compactly supported sound profile in the presence of a random background medium ⋮ A Bayesian approach to improving the Born approximation for inverse scattering with high-contrast materials

Cites Work

• Mathematical and statistical methods for multistatic imaging
• The Mechanics of the Circulation
• The multivariate complex normal distribution-a generalization
• Integral transform techniques for Green's function

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