2019/10/13 by Hanna Bendjador, Bendjador, Hanna, Thomas Deffieux +3 · 1 citation
Engineering · Medicine · #FOS: Electrical engineering #Image and Video Processing (eess.IV) #Photoacoustic and Ultrasonic Imaging #Ultrasonics and Acoustic Wave Propagation #Ultrasound Imaging and Elastography #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1910.05795
openalex publication_date 2019/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A shift of paradigm is currently underway in biomedical ultrasound thanks to\nplane and diverging waves for ultrafast imaging. One remaining challenge\nconsists in the correction of phase and amplitude aberrations induced during\npropagation through complex layers. Unlike conventional line-per-line imaging,\nultrafast ultrasound provides for each transmission, backscattering information\nfrom the whole imaged area. Here, we take benefit from this feature and propose\nan efficient approach to perform fast aberration correction based on the\nSingular Value Decomposition of an ultrafast compound matrix built from\nbackscattered data for several plane wave transmissions. First, we explain the\nphysical signification of SVD and associated singular vectors within the\nultrafast matrix formalism. We theoretically demonstrate that the spatial and\nangular variables separation, rendered by SVD on ultrafast data, provides an\nelegant and straightforward way to optimize angular coherence of backscattered\ndata. In heterogeneous media with an aberrating phase screen approximation, we\ndemonstrate that the first spatial and angular singular vectors retrieve on one\nside the non-aberrated image, and on the other, the phase and amplitude of the\naberration law. In vitro results prove the efficiency of the image correction,\nbut also the accuracy of the aberrator determination. Based on spatial and\nangular coherence, we introduce a complete methodology for adaptive beamforming\nof ultrafast data, performed on successive isoplanatism patches undergoing SVD\nbeamforming. The simplicity of this method paves the way to real-time adaptive\nultrafast ultrasound imaging and provides a theoretical framework for future\nquantitative ultrasound applications.\n