this paper considers the estimation of the unknown parameter for the problem of reconstructing a super-resolution image from multiple under-sampled, shifted, and degraded frames.

On the base of the analysis of single image super-resolution reconstruction, the paper builds a new image degenerating model and discusses the similarities and differences between the proposed model and classic image restoration model, and then analyzes the algorithm implementation steps.

On the basis of Har ri s theory of image super-resolution,the inconsistency in the traditional theory of image super-resolution is analyzed and the model of image formation is impr oved.

To improve the boundary condition processing,the regularization processing,and the blurring parameter estimation of parametric blind super-resolution image restoration,an alternative iteration optimization is used to estimate the image blurring and high-resolution image.

The application of the technology of the super-resolution image reconstruction in the relative position measure between spacecrafts;

Image super-resolution reconstruction is a technique to estimate a high-resolution image (or sequence) from a single image or an image sequence having slight difference and combating additive noise and blurring due to the finite detector size and optics.