A bulk modulus dependent linear model for acoustical imaging.

A bulk modulus dependent linear model for acoustical imaging.
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用于声学成像的体积模量相关线性模型。

DOI:
10.1121/1.3087427
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发表时间:
2009
期刊:
The Journal of the Acoustical Society of America
影响因子:
--
通讯作者:
C. Cachard
C. Cachard
中科院分区:
--
文献类型:
--
作者:
J. Mari;T. Blu;O. Matar;M. Unser;C. Cachard

文献摘要

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对软生物组织成像的声学过程进行建模,并了解这种建模所需的近似结果,是准确模拟超声扫描以及估计成像物质散射系数的关键步骤。本文给出了非齐次超声波方程的线性解。应用线性化所需的经典假设;然而,在数学发展中没有对密度和声速作出近似。这导致了散射项的表达式,该表达式建立了超声换能器测量的信号与成像组织的内在机械特性之间的对应关系。该表达式表明,将散射视为密度和声速在其平均值附近的小变化的函数,以及该域中的经典假设,相当于将声学采集与相对纵向体模量的度量联系起来。将该模型与Jensen先前的模型进行比较,表明该模型同样适用于声学成像过程的精确模拟。
Modeling the acoustical process of soft biological tissue imaging and understanding the consequences of the approximations required by such modeling are key steps for accurately simulating ultrasonic scanning as well as estimating the scattering coefficient of the imaged matter. In this document, a linear solution to the inhomogeneous ultrasonic wave equation is proposed. The classical assumptions required for linearization are applied; however, no approximation is made in the mathematical development regarding density and speed of sound. This leads to an expression of the scattering term that establishes a correspondence between the signal measured by an ultrasound transducer and an intrinsic mechanical property of the imaged tissues. This expression shows that considering the scattering as a function of small variations in the density and speed of sound around their mean values along with classical assumptions in this domain is equivalent to associating the acoustical acquisition with a measure of the relative longitudinal bulk modulus. Comparison of the model proposed to Jensen's earlier model shows that it is also appropriate to perform accurate simulations of the acoustical imaging process.