01097nas a2200181   4500008004100000245007200041210006700113260002800180300001400208520046000222100001900682700002300701700002200724700002100746700002000767700002200787856010600809       2013                        eng d00aOn Topology Preservation in Triangular, Square, and Hexagonal Grids0 aTopology Preservation in Triangular Square and Hexagonal Grids  aTriestebIEEEcSep 2013  a782 - 7873 a<p>There are three possible partitionings of the continuous plane into regular polygons that leads to triangular, square, and hexagonal grids. The topology of the square grid is fairly well-understood, but it cannot be said of the remaining two regular sampling schemes. This paper presents a general characterization of simple pixels and some simplified sufficient conditions for topology-preserving operators in all the three types of regular grids.</p>1 aKardos, Péter1 aPalágyi, Kálmán1 aRamponi, Giovanni1 aLončarić, Sven1 aCarini, Alberto1 aEgiazarian, Karen  uhttps://inf.u-szeged.hu/publication/on-topology-preservation-in-triangular-square-and-hexagonal-grids