Abstract

This study focuses on developing the algorithms for solving 3D inverse problems of ultrasound tomography using GPU clusters and general-purpose supercomputers. The computing capabilities of these supercomputer architectures in application to wave tomography are compared via numerical simulations.Parallel gradient-based iterative algorithms designed to solve coefficient inverse problems for the wave equation are proposed. We show that layer-by-layer wave tomography can be efficiently performed using both CPU- and GPU-based supercomputers. Solving 3D coefficient inverse problems is much more computationally expensive. A general-purpose (CPU-based) system capable of reconstructing 3D images should be equipped with either a sufficient number of memory access channels or a large number of computing cores with large cache memory and high-speed communication network. Such a system would be very large and expensive. Therefore, the most promising solution is to develop dedicated GPU-based supercomputers.From the applications perspective, this study focuses on problems of developing ultrasound tomography devices for breast cancer diagnosis. Computer simulations show that a GPU cluster capable of performing 3D image reconstruction within reasonable time fits in a single rack and can be incorporated into medical ultrasound tomography facilities.

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