Choosing a good interpolating template is the key to better recover the subsampled image with low distortion. In this paper

by analysis of a novel 1-dimension overlapping digital filter in frequency domain

the corresponding model of FIR filter and the condition for linear phrase are presented. According to the above result

the ways to design 2-dimension interpolating template without window、with single and double windows are respectively introduced. Transmission properties of 7×7 templates of three systems are compared in detail

which indicates that the ripples in the pass period of windowed template are obviously much fewer than that of template without window. Among the three types of systems

template with double windows is better than that of single window and none window in smoothness but has the widest transition period. Finally

the simulations to recover the subsampled images with different frequency components by applying 7×7、11×11 and 17×17 templates are made

as well as analyzing and comparing the results. It proves that the images recovered by three types of windowed templates from subsampled image have higher SNR and better subjective and objective quality than that recovered in no overlapping way.