© 2020 IEEE.Structured Illumination Patterns is an imaging technique used in microscopic imaging to achieve super-resolution image by exceeding the diffraction limit. In microscopic imaging, the light projected onto the sample to be imaged is modulated into two dimensional sinusoidal illumination patterns and the raw image is obtained. By using this technique, the image reconstruction algorithm applied to the raw images in the frequency space is provided to increase the resolution of the nal image up to two times. In this study, to obtain the high resolution target image, convolution multiplication of the structured illumination patterns with a test image is applied and a moire fringe pattern is formed as a result of this product. Next, the steps of the structured illumination microscopy technique algorithm are described. Finally, the algorithm for image reconstruction in frequency space has been developed and the results are shown.