TY - CHAP T1 - On Topology Preservation in Triangular, Square, and Hexagonal Grids T2 - Proceedings of International Symposium on Image and Signal Processing and Analysis (ISPA) Y1 - 2013 A1 - Péter Kardos A1 - Kálmán Palágyi ED - Giovanni Ramponi ED - Sven Lončarić ED - Alberto Carini ED - Karen Egiazarian AB -

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.

JF - Proceedings of International Symposium on Image and Signal Processing and Analysis (ISPA) PB - IEEE CY - Trieste ER -