Abstract: A method is provided for recovering an image defined as a function of image coordinates of an image space from compressed data that is a function of transform coordinates in a transform space comprising: a) transforming the compressed data using at least one partial transform to generate a set of intermediate coefficients in a space intermediate between the transform space and said image space; b) adjusting the value of at least one intermediate coefficient and using said adjusted value to generate a set of adjusted intermediate coefficients; and c) recovering the image by transforming the set of adjusted intermediate coefficients to the image space with at least one additional partial transform.