Interference spectrum technology is the cutting-edge technology of spectral imaging technology. But the influence of noise in the experiment often makes the interference image mixed with noise signal. Therefore the interference figure of experi-ment needs to be disposed. The rapid development of image processing technology makes it widely used in the imaging field, and Fourier transform plays an important role in the image processing. The filtering process of the image and the Fourier trans-form of the interferogram was focused on,the corresponding processing programs is written by Matlab. The effect and advantages of median filtering and Gaussian filtering were compared. The changes of interferogram after filtering processing were analyzed. Finally the processed interference figure after Fourier transform is displayed by Fourier inversion. Comparing with the original im-age,the importance of filtering technique in image processing is obtained.%干涉光谱技术是现如今光谱成像技术的前沿技术，但是由于实验中噪声的影响，往往使得干涉图像掺杂噪声信号，因此需要对实验所得的干涉图进行处理。重点研究图像的滤波处理以及对干涉图进行傅里叶变换，用Matlab编写相应的处理程序。比较中值滤波和高斯滤波两种滤波技术各自的作用及优点；分析干涉图经过滤波处理后图像的变化情况，最后处理后的干涉图经过傅里叶变换，用傅里叶逆变换把图像显示出来，与原图像比较得出滤波技术在图像处理中的重要作用。
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