耗散组织热声成像的积分方程模型
Integral equation models for thermoacoustic imaging of dissipative tissue
AI总结：
针对耗散组织，推导三种压力数据（点、平面、线探测器）的积分方程，以估计电磁吸收函数的投影，从而利用已知重建公式。
摘要：
对于非耗散组织，热声成像的反问题基本上由两个反问题组成。首先，根据三种投影类型（球形、圆形或平面）之一估计依赖于电磁吸收函数的函数$ϕ$，其次，根据$ϕ$估计电磁吸收函数。对于耗散组织，无法再根据各自的压力数据（由点、平面或线探测器测量）显式计算$ϕ$的投影。本文的目标是针对三种压力数据中的每一种，推导出一个积分方程，从而能够估计$ϕ$的相应投影。这种方法的优点是可以利用所有已知的从相应投影重建$ϕ$的公式。
英文摘要：
In case of non-dissipative tissue the inverse problem of thermoacoustic imaging basically consists of two inverse problems. First, a function $ϕ$ depending on the \emph{electromagnetic absorption function}, is estimated from one of three types of projections (spherical, circular or planar) and secondly, the \emph{electromagnetic absorption function} is estimated from $ϕ$. In case of dissipative tissue, it is no longer possible to calculate explicitly the projection of $ϕ$ from the respective pressure data (measured by point, planar or line detectors). The goal of this paper is to derive for each of the three types of pressure data, an integral equation that allows estimating the respective projection of $ϕ$. The advantage of this approach is that all known reconstruction formulas for $ϕ$ from the respective projection can be exploited.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
