Learning-based Linear Inversion for Quantitative Pulse-Echo Speed-of-Sound Imaging

Fuente: arXiv
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Auteurs principaux: Yolgunlu, Parisa Salemi, Blom, Jules, Martiartu, Naiara Korta, Jaeger, Michael
Format: Preprint
Publié: 2024
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author Yolgunlu, Parisa Salemi
Blom, Jules
Martiartu, Naiara Korta
Jaeger, Michael
author_facet Yolgunlu, Parisa Salemi
Blom, Jules
Martiartu, Naiara Korta
Jaeger, Michael
contents Computed ultrasound tomography in echo mode generates maps of tissue speed of sound (SoS) from the shift of echoes when detected under varying steering angles. It solves a linearized inverse problem that requires regularization to complement the echo shift data with a priori constraints. Spatial gradient regularization has been used to enforce smooth solutions, but SoS estimates were found to be biased depending on tissue layer geometry. Here, we propose to train a linear operator to minimize SoS errors on average over a large number of random tissue models that sample the distribution of geometries and SoS values expected in vivo. In an extensive simulation study on liver imaging, we demonstrate that biases are strongly reduced, with residual biases being the result of a partial non-linearity in the actual physical problem. This approach can either be applied directly to echo-shift data or to the SoS maps estimated with gradient regularization, where the former shows slightly better performance, but the latter is computationally more efficient. Experimental phantom results confirm the transferability of our results to real ultrasound data.
format Preprint
id arxiv_https___arxiv_org_abs_2408_11471
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Learning-based Linear Inversion for Quantitative Pulse-Echo Speed-of-Sound Imaging
Yolgunlu, Parisa Salemi
Blom, Jules
Martiartu, Naiara Korta
Jaeger, Michael
Medical Physics
Computed ultrasound tomography in echo mode generates maps of tissue speed of sound (SoS) from the shift of echoes when detected under varying steering angles. It solves a linearized inverse problem that requires regularization to complement the echo shift data with a priori constraints. Spatial gradient regularization has been used to enforce smooth solutions, but SoS estimates were found to be biased depending on tissue layer geometry. Here, we propose to train a linear operator to minimize SoS errors on average over a large number of random tissue models that sample the distribution of geometries and SoS values expected in vivo. In an extensive simulation study on liver imaging, we demonstrate that biases are strongly reduced, with residual biases being the result of a partial non-linearity in the actual physical problem. This approach can either be applied directly to echo-shift data or to the SoS maps estimated with gradient regularization, where the former shows slightly better performance, but the latter is computationally more efficient. Experimental phantom results confirm the transferability of our results to real ultrasound data.
title Learning-based Linear Inversion for Quantitative Pulse-Echo Speed-of-Sound Imaging
topic Medical Physics
url https://arxiv.org/abs/2408.11471