A TSVD analysis of microwave inverse scattering for breast imaging.
A TSVD analysis of microwave inverse scattering for breast imaging.
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DOI：
10.1109/tbme.2011.2176727
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发表时间：
2012-04
期刊：
影响因子：
--
通讯作者：
Hagness SC
中科院分区：
文献类型：
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作者：
Shea JD;Van Veen BD;Hagness SC
多种方法已应用于微波频率乳腺成像的逆散射问题。虽然许多技术已被用于微波成像解决方案，但它们从根本上都依赖于散射数据的质量。因此，评估和优化数据中包含的信息有助于理解任何特定成像方法并实现最佳性能。在本文中，采用一种分析方法来评估已知介电分布的模拟散射数据中包含的信息。该方法通过通过散射系统的逆映射数据来估计最佳成像性能。逆矩阵是通过散射方程组的截断奇异值分解来计算的。通过使用在计算域中可用的成像体积中的精确总场，使方程呈线性。该分析适用于解剖学上真实的数字乳房模型。通过分析系统设计和问题表述中的各种考虑因素，证明了该方法对于给定成像系统的实用性。该方法提供了一种将数据选择问题与该数据的图像形成问题解耦的途径。
A variety of methods have been applied to the inverse scattering problem for breast imaging at microwave frequencies. While many techniques have been leveraged toward a microwave imaging solution, they are all fundamentally dependent on the quality of the scattering data. Evaluating and optimizing the information contained in the data are, therefore, instrumental in understanding and achieving optimal performance from any particular imaging method. In this paper, a method of analysis is employed for the evaluation of the information contained in simulated scattering data from a known dielectric profile. The method estimates optimal imaging performance by mapping the data through the inverse of the scattering system. The inverse is computed by truncated singular-value decomposition of a system of scattering equations. The equations are made linear by use of the exact total fields in the imaging volume, which are available in the computational domain. The analysis is applied to anatomically realistic numerical breast phantoms. The utility of the method is demonstrated for a given imaging system through the analysis of various considerations in system design and problem formulation. The method offers an avenue for decoupling the problem of data selection from the problem of image formation from that data.