Aiming at a series of Low Resolution( LR ) images with uncontrolled micro-displacements, an algorithm based on 2×2 uncontrolled microscanning is represented to reconstruct the High Resolution(HR) image. It uses the algorithm of Linear Interpolation Projection based on Shift Estimation(LIPSE) to estimate the micro-displacements of the LR images, and then reconstructs the HR image from the four LR images by using the reconstruction algorithm based on Taylor series expansion. Simulation and practical image processing demonstrate that this algorithm can estimate displacements accurately of serial images and get good reconstruction effect, and the algorithm is simple but effective with small processing load, so it is very possible to achieve fast processing. The method is hopeful to meet the demand of HR imaging in the fields of synchronous satellite and public surveillance.