In cellular automata, the Moore neighborhood comprises the eight cells surrounding a central cell on a two-dimensional square lattice. The neighborhood is named after Edward F. Moore, a pioneer of cellular automata theory. It is one of the two most commonly used neighborhood types, the other one being the 4-cell von Neumann neighborhood. The well known Conway's Game of Life, for example, uses the Moore neighborhood. It is similar to the notion of 8-connected pixels in computer graphics.
The concept can be extended to higher dimensions, for example forming a 26-cell cubic neighborhood for a cellular automaton in three dimensions.
The Moore neighbourhood of a point is the points at a Chebyshev distance of 1.
The number of cells in a Moore neighbourhood, given its range r, is the odd squares: (2r + 1)2.
Read more about Moore Neighborhood: Algorithm, Termination Condition, Applications
Famous quotes containing the words moore and/or neighborhood:
“No, the heart that has truly loved never forgets,
But as truly loves on to the close,
As the sunflower turns on her god, when he sets,
The same look which she turned when he rose.”
—Thomas Moore (1779–1852)
“I grew up in a tough neighborhood and we used to say ‘you can get further with a kind word and a gun than just a kind word.’”
—David Mamet, U.S. screenwriter, and Brian DePalma. Al Capone (Robert DeNiro)