A feasibility study of radar-based shape and reflectivity reconstruction using variational methods
A feasibility study of radar-based shape and reflectivity reconstruction using variational methods
复制标题
使用变分法基于雷达的形状和反射率重建的可行性研究
DOI：
10.1088/1361-6420/abd299
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发表时间：
2021
期刊：
影响因子：
2.1
通讯作者：
Sandhu, Romeil
中科院分区：
文献类型：
--
作者：
Bignardi, Samuel;Joseph Yezzi, Anthony;Yildirim, Alper;Barnes, Christopher F;Sandhu, Romeil
遥感雷达技术提供了非常详细的成像。然而，雷达图像不提供直接可检索的表示场景内的形状。因此，从雷达的形状重建通常依赖于将最初为光学图像设计的后处理计算机视觉技术应用于雷达成像产品。在许多应用中，例如在计算机视觉和机器人技术中，直接从原始数据进行形状重建将是期望的。从这个角度来看，反转似乎是一种有吸引力的方法。然而，反演很少尝试在雷达的上下文中，高频信号导致能量泛函占主导地位的紧密包装狭窄的局部极小值。在本文中，我们采取的第一步，在开发一个框架中，雷达信号和图像可以共同用于形状重建。特别是，我们调查的可行性，形状重建的脉冲压缩雷达信号单独反演，在稀疏的位置收集。受图像处理和计算机视觉领域内已经成熟的几何方法的启发，我们在变分上下文中提出了这个问题，获得了一个偏微分方程，用于初始形状向最佳再现数据的形状-反射率组合的演变。在这样做的同时，我们强调了遇到的几个不明显的困难，并讨论如何克服它们。我们说明了这种方法的潜力，通过三个模拟的例子，并讨论了几个实施方案的选择，包括边界条件，反射率估计，和辐射模型。我们的模拟的成功表明，这种变分方法可以自然地适应雷达反演，并有可能进一步扩展到主动表面和水平集应用，我们相信它将自然地补充目前的应用与光学图像。
Remote sensing radar techniques provide highly detailed imaging. Nevertheless, radar images do not offer directly retrievable representations of shape within the scene. Therefore, shape reconstruction from radar typically relies on applying post-processing computer vision techniques, originally designed for optical images, to radar imaging products. Shape reconstruction directly from raw data would be desirable in many applications, eg in computer vision and robotics. In this perspective, inversion seems an attractive approach. Nevertheless, inversion has seldom been attempted in the radar context, as high frequency signals lead to energy functionals dominated by tightly packed narrow local minima. In this paper, we take the first step in developing a framework in which radar signals and images can be jointly used for shape reconstruction. In particular, we investigate the feasibility of shape reconstruction by inversion of pulse-compressed radar signals alone, collected at sparse locations. Motivated by geometric methods that have matured within the fields of image processing and computer vision, we pose the problem in a variational context obtaining a partial differential equation for the evolution of an initial shape towards the shape-reflectivity combination that best reproduces the data. While doing so, we highlight several non-obvious difficulties encountered and discuss how to surpass them. We illustrate the potential of this approach through three simulated examples and discuss several implementation choices, including boundary conditions, reflectivity estimation, and radiative models. The success of our simulations shows that this variational approach can naturally accommodate radar inversion and has the potential for further expansion towards active surfaces and level set applications, where we believe it will naturally complement current applications with optical images.
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DOI：
--
发表时间：
2002
期刊：
Proceedings. First International Symposium on 3D Data Processing Visualization and Transmission
影响因子：
--
作者：
Hailin Jin;A. Yezzi;Stefano Soatto
通讯作者：
Stefano Soatto
DOI：
10.1016/j.isprsjprs.2018.10.003
发表时间：
2018-10
影响因子：
12.7
作者：
H. Bagheri;Michael Schmitt;Pablo d’Angelo;X. Zhu
通讯作者：
H. Bagheri;Michael Schmitt;Pablo d’Angelo;X. Zhu
影响因子：
2.6
作者：
HOUNDFIELD, GN
通讯作者：
HOUNDFIELD, GN
原位体积 SAR
影响因子：
8.2
作者：
C. Barnes;Skanda Prasad
通讯作者：
Skanda Prasad
阴影中的多图像 Sar 形状
DOI：
--
发表时间：
1989
期刊：
12th Canadian Symposium on Remote Sensing Geoscience and Remote Sensing Symposium,
影响因子：
--
作者：
J. Thomas;W. Kober;F. Leberl
通讯作者：
F. Leberl