A segmentation method for remote sensing image region on Riemannian manifolds

Hailong Zhu, Song Zhao, Xiping Duan
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Abstract

Focus on the issue of rotation and scale in-variance for remote sensing image(RSI) segmentation, a feature extraction and classification method is proposed based on differential space. A RSI is divided into many regions with different size, and all the covariance matrices of each region are calculated. Those covariance matrices construct a connected Riemannian manifold. The map relation between the Riemannian manifold and a Tangent space is built that contains an Exponent and a Logarithmic matrices computation. Furthermore, the distance measure is established on the Riemannian manifold. It is employed to segment regions of a RSI. Experiment results show that the method is efficient and has robust rotation and scale invariance.
黎曼流形遥感图像区域分割方法
针对遥感图像分割中的旋转和尺度方差问题,提出了一种基于差分空间的特征提取与分类方法。将RSI划分为多个大小不同的区域,计算每个区域的所有协方差矩阵。这些协方差矩阵构成一个连通的黎曼流形。建立了黎曼流形与正切空间之间的映射关系,其中包含一个指数矩阵和一个对数矩阵的计算。进一步,在黎曼流形上建立了距离测度。它被用来分割RSI的区域。实验结果表明,该方法是有效的,具有鲁棒的旋转和尺度不变性。
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