We propose a panchromatic (Pan) and multispectral (MS) image fusion method in order to synthesize an MS image with enhanced spatial resolution and preserved spectral information of the original MS image. The proposed method is based on the spatial frequency and the à trous wavelet transform (SFATWT). The à trous wavelet transform (ATWT) is used to decompose Pan and MS images into low and high frequencies. The spatial frequency is exploited in the image fusion rules to improve the details or the high-frequency information which will be injected into the MS image. The ATWT reconstruction makes it possible to produce MS image with high spatial resolution. To validate the proposed method, two image sets are used. The first one is acquired by the SPOT (Satellite Pour l’Observation de la Terre) satellite with a resolution ratio of 2. The second one is the Algerian satellite AlSat 2A images with a resolution ratio of 4. The fused results are evaluated by means of qualitative and quantitative comparisons. The assessment of fused products has shown that the proposed method is promising.

中文翻译：

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使用空间频率和 à trous 小波变换的全色和多光谱图像融合

我们提出了一种全色 (Pan) 和多光谱 (MS) 图像融合方法，以合成具有增强空间分辨率和保留原始 MS 图像光谱信息的 MS 图像。所提出的方法基于空间频率和 à trous 小波变换 (SFATWT)。à trous 小波变换 (ATWT) 用于将 Pan 和 MS 图像分解为低频和高频。在图像融合规则中利用空间频率来改善细节或将注入到 MS 图像中的高频信息。ATWT 重建使得生成具有高空间分辨率的 MS 图像成为可能。为了验证所提出的方法，使用了两个图像集。第一个由 SPOT（Satellite Pour l'Observation de la Terre）卫星获取，分辨率为 2。第二个是分辨率为4的阿尔及利亚卫星AlSat 2A图像。融合结果通过定性和定量比较的方式进行评估。对熔融产物的评估表明，所提出的方法是有前途的。