The pervasive need to access and make decisions based on data calls for pervasively displaying interactive dynamic content where and when needed. This vision covers a broad set of use cases and potentially millions of users: smart buildings, university classrooms, museums, showrooms or shop fronts. Projection-based displays can fulfill this vision, but are challenged by the non-rectilinearity of the projection surface (outer shape), and the presence of objects that occlude the projection (inner hole). This challenges the prevailing tradition of placing content on rectangular screens and raises fundamental design questions. This project addresses a new research question: how to best design and interact with non-rectangular content. This research project will contribute to the development of a theoretical framework and of interaction solutions to facilitate the adoption of non-rectangular interfaces.