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Multiple research groups have recently innovated image recovery methods for fast pulse-echo ultrasound imaging (UI) that combine inverse scattering techniques with compressed sensing (CS). These methods alleviate the inherent tradeoff between the image quality and the image acquisition rate. The choice of the incident sound field is a crucial degree of freedom to implement the specific requirements...
We introduce a novel method for ultrasound plane wave imaging that combines the plane wave decomposition of the incident pulse with the exact solution for the scattered field from small spherical scatterers. We model the measured RF-signal by a sparse linear system and formulate a corresponding discrete inverse problem, that can accommodate various types of regularization. The framework is demonstrated...
The quantitative measurement of acoustic pressure fields in fluids is of crucial interest for the design of medical ultrasound transducers. A new measurement technique for the radiated ultrasound beams using the concept of compressive sensing is introduced. In this approach, a regular grid is defined on a plane oriented perpendicular to the preferred direction of the sound beam. Waveforms are measured...
A simple, well-interpretable, and explicit analytical solution to the Burgers equation based on Volterra series is derived. Its region of convergence is investigated and a method for the computationally efficient numerical evaluation of the associated Volterra polynomials is presented. For a given boundary condition, numerical results are compared to a widely-used numerical standard solution. After...
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