The corneal imaging technique enables extraction of scene information from corneal reflections and realizes a large number of applications including environment map reconstruction and estimation of a person's area of view. However, since corneal reflection images are usually low quality and resolution, the outcome of the technique is currently limited. To overcome this issue, we propose a first non-central catadioptric approach to reconstruct high-resolution scene information from a series of lower resolution corneal images through a super-resolution technique. We describe a three-step process, including (1) single image environment map recovery, (2) multiple image registration, and (3) high-resolution image reconstruction. In a number of experiments we show that the proposed strategy successfully recovers high-frequency textures that are lost in the source images, and also works with other non-central catadioptric systems, e.g., involving spherical mirrors. The obtained information about a person and the environment enables novel applications, e.g., for surveillance systems, personal video, human-computer interaction, and upcoming head-mounted cameras (Google Glass [5]).