A method for restoring an image is provided to achieve the restoration to a high-resolution image, by applying an FOCUSS(Focal Underdetermined System Solver) algorithm to a low-resolution image frequency data, which are converted from down-sampled data. Down-sampled data are outputted with respect to an image having a dynamic change(S10). The down-sampled data are converted into low-resolution image frequency data(S20). The converted low-resolution image frequency data are converted into a high-resolution image by applying an FOCUSS algorithm in a k-t space(S30). The down-sampled data are converted into the low-resolution image frequency data by using second-dimensional Fourier transformation.
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