@conference {2106, title = {Topology Preserving Reductions and Additions on the Triangular, Square, and Hexagonal Grids}, booktitle = {K{\'e}pfeldolgoz{\'o}k {\'e}s Alakfelismer{\H o}k T{\'a}rsas{\'a}g{\'a}nak 10. orsz{\'a}gos konferenci{\'a}ja}, year = {2015}, month = {Jan 2015}, pages = {588-600}, type = {Conference paper}, address = {Kecskem{\'e}t, Magyarorsz{\'a}g}, abstract = {

The Euclidean plane can be partitioned into three kinds of
regular polygons, which results in triangular, square and hexagonal grids.
While the topology of the square grid is well-established, less emphasis
is put on the remaining two regular sampling schemes. In this paper we
summarize the results of our research that aimed to give some general
characterizations of simple pixels and sufficient conditions for topology-
preserving operators in the mentioned grids.

}, author = {P{\'e}ter Kardos and K{\'a}lm{\'a}n Pal{\'a}gyi} }