roosterpunten

Roosterpunten is a Dutch term used to describe the points of a regular grid or lattice—the intersections of evenly spaced lines that divide a plane into equal cells. The word combines rooster, in the sense of a grid or timetable, with punt, point. In two dimensions, the set of roosterpunten can be represented as (i · Δx, j · Δy) where i and j are integers and Δx and Δy are the horizontal and vertical spacings. In a square grid, Δx and Δy are equal.

Roosterpunten form the sampling and reference framework in various disciplines. In mathematics and computer science they serve as nodes in numerical methods, as sampling locations for discretizing continuous functions, and as the basis for interpolation schemes such as bilinear and bicubic interpolation on grids. In imaging and geographic information systems they underpin raster representations, where data are associated with grid cells that are defined by grid points either at corners or at centers, depending on convention.

In design, architecture and urban planning, roosterpunten can be used to align elements on a modular grid, ensuring consistent spacing, proportion, and coordination across layouts. The concept is closely related to the idea of lattice points in mathematics and to the broader notion of grids used for sampling, representation, and organization of spatial information.

See also: lattice point, grid, raster, interpolation.