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基于对数流形特征的PolSAR图像舰船目标检测方法研究
杨子渊1, 党文鹏2, 陈佳俊1, 刘  涛1, 刘立国1
1.海军工程大学;2.中科卫星科技集团有限公司
摘要:
针对极化合成孔径雷达(PolSAR)舰船目标检测中复杂海况下欧氏线性处理存在的检测性能下降问题,提出了一种基于对数流形特征的扰动抑制与舰船目标检测方法。首先,利用对数欧几里得映射(LEM)将极化协方差矩阵(PCM)从弯曲的黎曼流形投影至平直切空间,通过对数运算的压缩特性抑制重尾分布并克服欧氏膨胀效应;其次,提取切空间中独立且完备的9维实值以增强表征能力;在此基础上,分别针对目标PCM已知与未知两种典型场景,构建了对数流形最优极化检测器(LE-OPD)与对数流形极化白化检测器(LE-PWD)。仿真与实测数据表明,所提方法在Wishart、K 分布、G0分布及真实混合杂波背景下均能保持优异的检测性能。
关键词:  极化合成孔径雷达  舰船检测  对数欧几里得映射  黎曼流形
DOI:
分类号:TN957.52
基金项目:国家自然科学基金(62501625),国家资助博士后研究人员计划(GZC20252839)
Ship Target Detection in PolSAR Images Based on Log-Euclidean Manifold Features
Abstract:
To address the performance degradation issue caused by Euclidean linear processing in Polarimetric Synthetic Aperture Radar (PolSAR) ship target detection under complex sea conditions, a novel PolSAR disturbance suppression and ship target detection method based on Log-Euclidean manifold features is proposed. First, Log-Euclidean Mapping (LEM) is used to project the Polarimetric Covariance Matrix (PCM) from a curved Riemannian manifold to a flat tangent space, where the compression property of the logarithmic operation suppresses heavy-tailed distributions and overcomes the Euclidean expansion effect. Second, a set of independent and complete 9-dimensional real-valued features is extracted from the tangent space to enhance representation capability. On this basis, for the two typical scenarios where the target PCM is known or unknown, the Log-Euclidean Optimal Polarimetric Detector (LE-OPD) and the Log-Euclidean Polarimetric Whitening Detector (LE-PWD) are constructed, respectively. Simulation and real data experiments demonstrate that the proposed method maintains excellent detection performance under Wishart, K-distribution, G0-distribution, and real mixed clutter backgrounds.
Key words:  polarimetric synthetic aperture radar  ship detection  log-Euclidean mapping  Riemannian manifold  

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