Restoration of discrete “star” images
1. General formulation. We shall discuss in this paper the restoration of images from observations under the assumption that the distortions are caused by random elastic fields of a given type. The pure (undistorted) images are taken to be points lying on straight lines. Let these points have coordinates z = (x, y) e R2, and let them be taken into the deformed images by the transformation z-> z + w(z) or (x, y)-> (x, y) + [u(x, >■), v(x, >')] (1) where the displacements u(x, y), v(x, y) satisfy Navier's equations for elastic deformations