| Autor: |
Goncharsky, A. V., Kubyshkin, V. A., Makan, I. I., Romanov, S. Y., Seryozhnikov, S. Y. |
| Zdroj: |
Lobachevskii Journal of Mathematics; Jul2024, Vol. 45 Issue 7, p3038-3050, 13p |
| Abstrakt: |
The article discusses the problems of designing 3D ultrasound tomography devices for soft tissue imaging. A 3D tomograph is based on the principle of wave tomography. Acoustic parameters of the object at each point are determined by solving a 3D coefficient inverse problem for the wave equation. Such problems are computationally expensive, and supercomputers must be used for mathematical modeling during the development process. The choice of the optimal sounding scheme and parameters of a 3D tomograph are considered. The aim is to collect the experimental data in a short time (one minute), and to achieve high spatial resolution of 2 mm both horizontally and vertically, which is necessary for early-stage breast cancer diagnosis. Application of effective iterative methods for the approximate solution of inverse problems is discussed. Such methods are based on finding the global minimum of the residual functional between the computed and measured wave fields at the detectors. Convergence of approximate solutions to the exact solution of the problem is justified. Computational optimization and choice of computing platform are discussed. Wave tomography technology can also be applied in non-destructive testing and seismic studies. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
Full text from SpringerLink