A Geometrical Acoustics based Focusing Algorithm for Layered Media in Medical Ultrasound
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915536560979968 |
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| author | Hackl, Simon Hubmer, Simon Ramlau, Ronny |
| author_facet | Hackl, Simon Hubmer, Simon Ramlau, Ronny |
| contents | Ultrasound imaging is a widely used, non-invasive diagnostic tool in modern medicine. A crucial assumption is a constant sound speed in the observed medium. For large scale sound speed variations, this assumption leads to blurred and distorted images. In this paper, we present a Geometrical Acoustics based Focusing Algorithm (GOAT) which is able to correct for these aberrations, given a known layered medium setting with continuously differentiable medium boundaries. Existence and uniqueness conditions for a solution to the underlying system of equations are given. Using numerical simulations, the precision of our method is evaluated. Finally, the resulting image quality improvements are demonstrated in a phantom-based experimental setup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05951 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Geometrical Acoustics based Focusing Algorithm for Layered Media in Medical Ultrasound Hackl, Simon Hubmer, Simon Ramlau, Ronny Numerical Analysis Mathematical Physics Ultrasound imaging is a widely used, non-invasive diagnostic tool in modern medicine. A crucial assumption is a constant sound speed in the observed medium. For large scale sound speed variations, this assumption leads to blurred and distorted images. In this paper, we present a Geometrical Acoustics based Focusing Algorithm (GOAT) which is able to correct for these aberrations, given a known layered medium setting with continuously differentiable medium boundaries. Existence and uniqueness conditions for a solution to the underlying system of equations are given. Using numerical simulations, the precision of our method is evaluated. Finally, the resulting image quality improvements are demonstrated in a phantom-based experimental setup. |
| title | A Geometrical Acoustics based Focusing Algorithm for Layered Media in Medical Ultrasound |
| topic | Numerical Analysis Mathematical Physics |
| url | https://arxiv.org/abs/2510.05951 |