GaBUS: Gaussian Beam framework for Ultrasound Computed Tomography

GaBUS：超声计算机断层扫描的高斯光束框架

• 批准号: 2588234
• 金额: --
• 依托单位: University College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2588234
• 关键词: GaBUS; Gaussian; Beam; framework; Ultrasound

Abstract: In this project we propose a new framework for performing ultrasound tomography (UST) reconstruction based on Gaussian Beams (GBs). GBs are generalisations of ray solutions with complex phase and amplitude functions defined everywhere even on the caustics. The complexity of a propagation of a single GB on an Nd cube grid is O(N). Naively representing each of O(Nd-1) omnidirectional sources as O(Nd-1) directional GBs would already result in a reduced complexity O(N2d-1) for the forward operator. We can achieve further improvements by fully exploiting the rich GB parametrisation and their relationship with the wave atoms.

摘要：在本项目中，我们提出了一种基于高斯束的超声层析成像(UST)重建的新框架。GBS是射线解的推广，其复数相位和幅度函数定义在任何地方，甚至在焦散上也是如此。在ND立方体网格上传输单个GB的复杂度为O(N)。如果将每个O(ND-1)个全向信源表示为O(ND-1)个方向性GBS，就已经降低了前向算子的复杂度O(N2d-1)。我们可以通过充分利用丰富的GB参数及其与波原子的关系来实现进一步的改进。