融合图像的频率定量分析及其空间分辨率的确定方法  

Quantitative Analysis in Frequency Domain and Determination of Spatial Resolution in Image Fusion

作　　者：段伟[1] 闫利[1] 

机构地区：[1]武汉大学测绘学院,湖北武汉430079

出　　处：《测绘学报》2016年第6期691-697,共7页Acta Geodaetica et Cartographica Sinica

基　　金：国家科技支撑计划(2012BAJ23B03)~~

摘　　要：图像融合是获取高质量图像的重要步骤之一,本文首先在频域中进行公式推导,根据高采样率奈奎斯特频率、低采样率奈奎斯特频率和信号频率三者之间的关系给出了图像融合前后信号频率的变化规律,然后以此为依据对融合图像的频率进行定量分析并确定图像空间分辨率,研究认为高分辨率图像中频率位于高采样率奈奎斯特频率和低采样率奈奎斯特频率之间的频率信息为高频信息。最后结合常用的融合方法和遥感图像对本文提出的观点进行验证,试验结果表明本文得到的结论与试验中的结果是符合的。Image fusion is one of the important steps to obtain high quality images. In this paper, the variation of signal frequency in image fusion is given according to the relationship between Nyquist frequency of high sampling rate, Nyquist frequency of low sampling rate and signal frequency. Then the frequency of the fused images is quantifying and the spatial resolution of the image is determined based on the the variation of signal frequency in image fusion.The high frequency information in the high resolution image is the information with the frequency between the Nyquist frequency of high sampling rate and the Nyquist frequency of low sampling rate.Finally, some fusion methods and remote sensing images are used to validate the proposed method. The experimental results show that the results obtained are consistent with the results of the experiment.

关 键 词：图像融合 信号频率 分辨率 地物频率 傅里叶变换 奈奎斯特频率 

分 类 号：P237[天文地球—摄影测量与遥感]