Extracting a high-resolution image form a low-resolution image sequence with displacement solves the image super-resolution problem which is ill-posed to one-frame based interpolation.However it is indispensable to store all low-resolution images for traditional multi-frame based algorithm which can not be implemented in real-time.In this paper
we propose a multi-frame based recursive iteration algorithm which can achieve super-resolution result as good as traditional method but with less memory consumption.The proof of convergence and efficiency of this algorithm is also addressed.Computer simulation gives the result matching with theoretical analysis.