Learning-Based Profiling of Buried Elliptical-Cylindrical Objects

Zahra Dastfal;Maryam Hajebi;Mansoureh Sharifzadeh;Ahmad Hoorfar
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Abstract

This letter presents a novel AI-based approach for subsurface profiling of buried dielectric objects. Using elliptical modeling, the method frames the inverse problem as a regression task, characterizing the target’s geometry with seven parameters: center coordinates, radii, tilt angle, sector angle, and permittivity. The sector angle enables the reconstruction of diverse shapes, enhancing flexibility and accuracy. The method exclusively utilizes amplitude-only scattered field data as a direct input to the convolutional neural network (CNN), eliminating the need for complex-valued data and qualitative preprocessing, thus bypassing their inherent limitations. Numerical results demonstrate the algorithm’s efficacy in reconstructing diverse profile shapes across a wide range of permittivity values, with a relative error of 16% in predicting the output of the network. The impact of factors, such as noise levels, measurement points, multi-frequency measurements, and out-of-range parameters, is also analyzed. Furthermore, a comparative analysis with the state-of-the-art global optimization techniques underscores the superior performance of the proposed method, highlighting its potential for significant advancements in the field. This algorithm also presents itself as an appealing candidate for use as an initializer for pixel-wise methods, replacing traditional qualitative approaches.
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基于学习的埋藏椭圆-圆柱形物体轮廓分析
这封信提出了一种新的基于人工智能的方法,用于埋藏介质物体的地下剖面。该方法采用椭圆建模,将反问题框架为回归任务,用中心坐标、半径、倾斜角、扇形角和介电常数等7个参数表征目标的几何形状。扇形角可以重建各种形状,提高灵活性和准确性。该方法完全利用仅振幅的散射场数据作为卷积神经网络(CNN)的直接输入,消除了对复杂值数据和定性预处理的需要,从而绕过了其固有的局限性。数值结果表明,该算法在宽介电常数范围内重构各种剖面形状的有效性,预测网络输出的相对误差为16%。分析了噪声级、测量点、多频测量和超量程参数等因素的影响。此外,与最先进的全局优化技术的比较分析强调了所提出方法的优越性能,突出了其在该领域取得重大进展的潜力。该算法还将自己作为像素化方法的初始化项,取代传统的定性方法。
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