@TechReport{TR154,
  author      = "Jiri Hladuvka and Florian Bogner and Walter G. Kropatsch",
  title       = "Implicit unbounded n-Gmaps for images: A membrane-centric encoding using bit-flips",
  institution = "PRIP, TU Wien",
  number      = "PRIP-TR-154",
  year        = "2022",
  url         = "https://www.prip.tuwien.ac.at/pripfiles/trs/tr154.pdf",
  abstract    = "The practical use of generalized combinatorial maps(n-Gmaps) to represent nD-images is limited by large memory requirements. Implicit representations, if well designed, can come to the rescue. Unbounded n-Gmaps are surrounded by an infinite background region that renders pixel-oriented implicit representation schemes inconvenient. The contribution of this paper is twofold. First, we propose an implicit, membrane-centric (rather than pixel-centric) arrangement of darts in unbounded n-Gmaps. Second, we introduce involutions based on bit flips, which allow efficient iterations in membranes and have the potential to speed up computations. We have validated our approach on a variety of 2D and 3D images, including those whose memory requirements would far exceed the main memory.",
}