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Improved Tumor Detection via Quantitative Microwave Breast Imaging Using Eigenfunction-based Prior
IEEE Transactions on Computational Imaging ( IF 5.4 ) Pub Date : 2020-01-01 , DOI: 10.1109/tci.2020.3012940
Nasim Abdollahi , Ian Jeffrey , Joe LoVetri

A multistage algorithm for quantitative microwave breast imaging is presented which utilizes the eigenfunction-based reconstruction of the complex-valued permittivity as prior information. The eigenfunction-based reconstruction is obtained from a single-frequency non-iterative microwave inversion technique that uses the eigenfunctions of the Helmholtz operator, in a resonant conductive enclosure, as the expansion basis. The low-resolution eigenfunction-based reconstruction is incorporated into the Contrast Source Inversion technique as an inhomogeneous numerical background. The use of this prior information improves the stability of the inversion algorithm, and results in better detectability of tumors. The multistage algorithm's performance is demonstrated by applying it to synthetic data obtained from three 2D MRI-derived anthropomorphic breast models with various densities, and shapes. The algorithm's efficacy in tumor detection is assessed by investigating detection results using prior information obtained with the number of eigenfunction in the expansion basis truncated with three different values. Numerical experiments are performed using four different frequencies. The main advantage of obtaining prior information using this method, as opposed e.g. in using radar or ultrasound derived prior, is that it utilizes the same microwave set-up, and only microwave interrogating fields.

中文翻译:

使用基于特征函数的先验通过定量微波乳房成像改进肿瘤检测

提出了一种用于定量微波乳房成像的多级算法,该算法利用复值介电常数的基于特征函数的重建作为先验信息。基于本征函数的重建是从单频非迭代微波反演技术获得的,该技术使用亥姆霍兹算子的本征函数,在谐振导电外壳中,作为扩展基础。基于低分辨率本征函数的重建被纳入对比源反演技术作为非均匀数值背景。这种先验信息的使用提高了反演算法的稳定性,并导致更好的肿瘤可检测性。多级算法' 通过将其应用于从具有各种密度和形状的三个 2D MRI 衍生的拟人乳房模型获得的合成数据,证明了其性能。该算法在肿瘤检测中的有效性是通过使用先验信息调查检测结果来评估的,这些先验信息是用三个不同值截断的扩展基中的特征函数数获得的。使用四种不同的频率进行数值实验。使用这种方法获得先验信息的主要优点,与例如使用雷达或超声波派生的先验相反,是它利用相同的微波设置,并且仅使用微波询问场。通过使用先验信息调查检测结果,评估其在肿瘤检测中的功效,这些信息是用三个不同值截断的扩展基中的特征函数数获得的。使用四种不同的频率进行数值实验。使用这种方法获得先验信息的主要优点,与例如使用雷达或超声波派生的先验相反,是它利用相同的微波设置,并且仅使用微波询问场。通过使用先验信息调查检测结果,评估其在肿瘤检测中的功效,这些信息是用三个不同值截断的扩展基中的特征函数数获得的。使用四种不同的频率进行数值实验。使用这种方法获得先验信息的主要优点,与例如使用雷达或超声波派生的先验相反,是它利用相同的微波设置,并且仅使用微波询问场。
更新日期:2020-01-01
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