地基层析ArcSAR三维点云生成方法
3D Point-Cloud Generation Method with GB-TomoArcSAR
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摘要: 因高度向分辨能力缺失,地基干涉雷达应用于建筑成像时会发生严重的高度向叠掩现象。层析合成孔径雷达(Tomographic Synthetic Aperture Radar,TomoSAR)技术具备高度向分辨能力,能够实现建筑三维成像。地基层析圆弧扫描合成孔径雷达(Ground-based Tomographic Arc-scanning Synthetic Aperture Radar,GB-TomoArcSAR)通过双轴转台控制天线在不同俯仰角度的水平面内进行圆周扫描来获取高度向合成孔径,实现三维层析成像。本文提出了GB-TomoArcSAR的三维点云生成方法,首先构建了适用于高度向弧形采样条件的层析成像几何模型。其次利用基于巴特沃斯滤波器的奇异值分解(Singular Value Decomposition,SVD)方法进行谱估计,找出层析谱中的峰值及其对应的峰值位置,构成层析向目标候选集。随后利用自对消顺序广义似然比(Sequential Generalized Likelihood Ratio Test with Cancellation,SGLRTC)检测器估计散射体的数目与位置,通过设置检测门限将真实目标的峰值及对应的峰值位置从候选集中筛选出来。最后采用基于空间几何分布的点云优化方法剔除误差点,生成点云图像。文章通过点目标和面目标的仿真实验,验证了所提方法适用于GB-TomoArcSAR,能够有效解决高度向多散射体目标的叠掩问题;进一步开展了实测数据验证,基于所提方法获取了北京市一处建筑基坑的层析点云,其与实际场景几何特征一致。Abstract: Severe layover occurs when ground-based interferometric radar is applied to building imaging as a consequence of insufficient elevation resolutions. Tomographic synthetic aperture radar technology offers elevation resolutions and can realize the three-dimensional (3D) imaging of buildings. Ground-based tomographic arc-scanning synthetic aperture radar (GB-TomoArcSAR) controls the antenna to perform circular scanning in the horizontal plane of different pitch angles through a two-axis turntable to obtain the synthetic aperture in the elevation direction and realize 3D tomography. In this study, a 3D point-cloud generation method for GB-TomoArcSAR is proposed. First, a tomography geometric model suitable for arc sampling in the height direction is constructed. Second, a singular value decomposition method based on the Butterworth filter is used to estimate the spectrum, obtain the peak value in the tomography spectrum and its corresponding peak position, and form the candidate set for the tomography target. Subsequently, a sequential generalized likelihood ratio test with a cancellation detector is performed to estimate the number and position of scatterers, whereas the peak value of the actual target and the corresponding peak position are selected from the candidate set by setting the detection threshold. Finally, a point-cloud optimization method based on spatial geometric distribution is used to eliminate error points and generate a point-cloud image. Simulation experiments involving point and surface targets demonstrate the suitability of the proposed method for GB-TomoArcSAR and its effectiveness in solving the layover of multiscatterer targets in the elevation direction. Additionally, the measured data are verified. Based on the proposed method, the tomographic point cloud of a building foundation pit in Beijing is obtained, which shows consistency with the geometric characteristics of the actual scene.