基于最优信噪比的CFFT自适应星载高光谱遥感图像去噪

Qingjie Liu, Qizhong Lin, Liming Wang, Qinjun Wang, Fengxian Miao
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摘要

星载高光谱遥感影像为定量遥感监测提供空间和光谱信息,容易受到大气、地形等噪声的污染。将传统的快速傅里叶变换(FFT)扩展为连续快速傅里叶变换(CFFT),在频域(FD)上将噪声从目标信息中分离出来。为此,设计了保留有用信息的低通滤波器来消除噪声,其截止频率根据最优信噪比自适应选择。选取中国北京和新疆两地的Hyperion高光谱图像进行去噪,通过均值、方差、熵、定义、信噪比等定性描述和定量指标,验证自适应最优信噪比连续谱快速傅里叶变换(CFFTOSNR)方法的滤波能力。实验结果表明,CFFTOSNR在光谱域对高斯白噪声的抑制效果较好,在空间域对条纹和减带噪声的抑制效果较好,滤波后图像的量化指标均得到改善,后处理图像的熵明显提高了5 db。
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Space-borne hyperspectral remote sensing imagery noise eliminating based on CFFT self-adapted by optimal SNR
Space-borne hyperspectral remote sensing imagery, supplying both spatial and spectral information for quantitative remote sensing monitoring, is easily polluted by noises from atmosphere, terrain etc. Based on spectral continuum removing and recovering, traditional fast Fourier Transform (FFT) was extended to Continuum Fast Fourier Transform (CFFT) to separate noise from target information in frequency domain (FD). Thus, low-pass filter for reserving useful information was designed for eliminating noise, with its cut-off frequency selected self-adaptively by optimal signal-tonoise ratio (SNR). Hyperion hyperspectral imageries of Beijing and Xinjiang China were singled out for noise removing to validate the filtering ability of the Continuum Fast Fourier Transform self-adapted by Optimal Signal-noise Ratio(CFFTOSNR) method with qualitative description and quantificational indexs, including mean, variance, entropy, definition and SNR etc. Experiment result shows that CFFTOSNR does well in reducing the gauss white noises in spectral domain and stripe and band-subtracting noise in spatial domain respectively, while the quantificational indexs of filtered imagery are all improved, with entropy of post-processed image obviously increased by 5 db.
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