Increasing the resolution of a non-negative brightness image distorted by a linear transformation

We consider an image distorted by linear brightness conversion and additive noise. Linear brightness transformation simulates distortions that occur in the video system due to the movement of the camera, the final aperture, etc. The task consists in such a transformation of this image, the result of which can be interpreted as an image obtained by the system with a higher resolution. Linear methods of increasing resolution lead to an increase in the error on the transformed image. One way to reduce this error is to narrow the class of possible images. The paper uses information on the nonnegativity of the image brightness. The numerical implementation of the method takes into account the limitation of computational resources.