radiusspanning

Radiusspanning refers to a computational geometry concept, often encountered in algorithms for tasks like mesh generation or point cloud processing. It describes the maximum distance between any two points within a given geometric object or dataset. More precisely, if a set of points S is contained within a circle or sphere of radius R, then the radius spanning that set is R. The term is also used to define the smallest circle or sphere that encloses a given set of points. This smallest enclosing circle is known as the minimum bounding circle, and its radius is the radius spanning the point set. Determining the radius spanning a set of points is a fundamental problem with applications in various fields. For instance, in computer graphics, it can be used to estimate the size of objects for rendering or collision detection. In geographic information systems, it might be used to define the extent of a geographical feature. Algorithms exist to efficiently compute the radius spanning a point set, with varying complexities depending on the dimensionality of the space and the specific constraints of the problem. The concept is closely related to concepts like diameter and bounding box, but specifically focuses on the circular or spherical enclosure.