Abstract: The solar X-EUV imaging telescope is mainly used to monitor and predict the solar activities that affect the space weather. The observed materials will be dedicated to the space weather forecast. For the space adaptability of the telescope, the image captured by CCD will be affected by the noise formed in structure modulation. This essay focuses on the optimizing process of the images captured by the telescope. It discusses the physical meaning of Fourier transform and its application in the image processing. With two-dimensional discrete Fourier Transform, images are transformed into frequency domain. With Butterworth wave-isolation filter, the program was designed and adjusted in practice, thus the periodicity noise in the image is smoothed to reduce the distortion of images as less as possible. The optimized images are favorable for further analysis of the solar activities.