Hoekstappen

Hoekstappen, literally “angle steps,” is a Dutch term used to describe discrete angular increments used to sample or traverse angular space around a reference point. The meaning of hoekstappen varies by field, but it generally refers to the step size in angle rather than a continuous rotation.

In mathematics and geometry, hoekstappen denote the angular increment applied when approximating circular arcs by straight-line segments or when constructing regular polygons from central angles. This is a form of discretization of the circle, often expressed in degrees or radians.

In computer graphics, robotics and related disciplines, hoekstappen are used to generate a finite set of directions for tasks such as ray casting, lighting calculations, or rotational control. The choice of angular step influences resolution, performance, and smoothness: smaller steps provide more directions but require more computation.

In surveying and geodesy, hoekstappen can refer to incremental bearings or interior angle measurements taken during traversing surveys, where angles are read and recorded at fixed increments.

Etymology: the term comes from Dutch, with hoek meaning angle and stappen meaning steps. It is primarily used in Dutch-language literature; English sources may render it as angular steps or angular increments.

See also: angular step, discretization, polar coordinate sampling, traversal surveying.

Note: Because the interpretation of hoekstappen can vary by domain, consult field-specific references for precise definitions in a given context.