Abstract

In this paper we study the possibility of removing aliasing in a scene from a single observation by designing an alias-free upsam- pling scheme. We generate the unknown high frequency components of the given partially aliased (low resolution) image by minimizing the total variation of the interpolant sub ject to the constraint that part of una- liased spectral components in the low resolution observation are known precisely and under the assumption of sparsity in the data. This pro- vides a mathematical basis for exact reproduction of high frequency components with probability approaching one, from their aliased ob- servation. The primary application of the given approach would be in super-resolution imaging.