Moment-based space-variant Shack–Hartmann wavefront reconstruction

This article presents an approach for space-variant Shack–Hartmann wavefront reconstruction based on image moment theory. We derive the relation between the moment of a pair of subimages and the local transformation coefficients. A special solution is obtained from this relation using the square guide 'star'. Our moment-based wavefront reconstruction has reduced computational complexity compared to the iteration-based algorithm. We execute image restorations using both the tiling strategy with 5 × 5 PSFs and the conventional strategy with a global average PSF. Our approach is supported by visual and quantitative evaluations.