Crafting the observation model for regularized image up-sampling

The moving average is often used as an observation model for image interpolation, but is it a correct and accurate model for most circumstances? Are there other options? We present a novel theoretical analysis of the regularized image up-sampling problem focusing on the data fidelity term. We start with formulation of the physical acquisition processes the image has undergone and develop a generalized design for the correct and accurate data fidelity term for regularized image up-sampling.