Queen vs Rook neighborhood

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Queen and rook neighborhoods are two common ways to calculate statistics for a focal cell. They are also known an Moore and (von) Neumann neighborhoods. I think a "bishop version", i.e. from lower left to upper right corner also exists. But why are these two methods still implemented in software packages?

Source: Lloyd, C. (2010). Spatial data analysis: an introduction for GIS users. Oxford university press.

I always thought that rook was used in the "old" days when computation power was low and that queen´s case should be used in GIS analysis wherever possible. I wonder whether there is any advantage of rook vs queen?



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