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Boundary element method applied to ultrasound elastography

机译：边界元法在超声弹性成像中的应用

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摘要

This paper presents a new methodology for computational elastography applied to simulated ultrasound images using numerical and computer vision methods. The aim is to estimate the elastic moduli of different tissues using images of the same cross section of mathematical phantoms acquired at different pressure conditions. The method uses Optical Flow techniques to evaluate displacement field and an inverse analysis based on the Boundary Element Method (BEM) for structural analysis. In order to evaluate the displacement field, two distinct formulations for Optical Flow are used: Lucas-Kanade and Brox. The methodology was validated in terms of error measurements, number of iterations and computational cost considering two ultrasound mathematical phantoms. A comparison between simulations using BEM and Finite Element Method (FEM) have shown that the association of BEM with Lucas-Kanade method can estimate the elastic moduli of the mathematical phantoms with similar accuracy, when compared to FEM (9.79 + 8.58%). However, if a dense mesh is considered in the contour discretization, the BEM method converges in a fraction of the computational cost, when compared to FEM, 60 s and ～6 h, respectively. Considering the observed results, the proposed method may be a useful tool for other quantitative methods in elastography.
机译：本文提出了一种新的计算弹性成像方法，该方法适用于使用数值和计算机视觉方法模拟的超声图像。目的是使用在不同压力条件下获得的数学模型的相同横截面的图像来估计不同组织的弹性模量。该方法使用光流技术评估位移场，并使用基于边界元法（BEM）的逆分析进行结构分析。为了评估位移场，使用了两种不同的“光流”公式：Lucas-Kanade和Brox。考虑到两个超声数学模型，在误差测量，迭代次数和计算成本方面对方法进行了验证。使用BEM和有限元方法（FEM）进行的模拟之间的比较表明，与FEM（9.79 + 8.58％）相比，BEM与Lucas-Kanade方法的关联可以以相似的精度估计数学模型的弹性模量。但是，如果在轮廓离散中考虑密集网格，则与有限元方法相比，BEM方法收敛于计算成本的一小部分，分别为60 s和〜6 h。考虑到观察到的结果，建议的方法可能是弹性成像中其他定量方法的有用工具。

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  • 来源
    《Engineering analysis with boundary elements》 |2016年第1期|154-162|共9页
  • 作者

    Anderson Gabriel Santiago; Luiz Cezar Trintinalia; Marco Antonio Gutierrez;

  • 作者单位

    Department of Telecommunications and Control Engineering, Escola Politecnica da Universidade de Sao Paulo, Sao Paulo, SP, Brazil,Division of Informatics, Heart Institute (InCor), University of Sao Paulo Medical School, Sao Paulo, SP, Brazil,Informatics Division, Heart Institute (InCor), University of Sao Paulo Medical School, Brazil;

    Department of Telecommunications and Control Engineering, Escola Politecnica da Universidade de Sao Paulo, Sao Paulo, SP, Brazil;

    Department of Telecommunications and Control Engineering, Escola Politecnica da Universidade de Sao Paulo, Sao Paulo, SP, Brazil,Division of Informatics, Heart Institute (InCor), University of Sao Paulo Medical School, Sao Paulo, SP, Brazil;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Computational elastography; Ultrasound; Boundary Element Method; Optical Flow;

    机译：计算弹性成像;超声波边界元法;光流;

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