singleplane

Singleplane is a term that appears in several technical contexts to denote a single plane of reference or operation. It is not a single standardized concept with an official definition, but rather an informal label used across disciplines to indicate work that is constrained to or described by one planar surface.

In geometry, a plane is a flat, two-dimensional surface that extends infinitely in all directions. A plane in three-dimensional space can be defined by a normal vector n and a constant d so that for any point x on the plane, n · x = d, or by the linear equation ax + by + cz + d = 0. When people refer to the “singleplane” idea in this domain, they typically mean the focus on a single planar surface rather than multiple planes or curved surfaces.

In computer graphics, computer-aided design, and related fields, single-plane constructions or projections describe methods that operate within one specified reference plane. This can simplify modeling, rendering, or measurement tasks by reducing three-dimensional problems to two-dimensional representations on that plane. Limitations include potential loss of depth information and issues with occlusion when representing 3D scenes on a single plane.

In robotics, computer vision, and geometry processing, single-plane constraints may be used to describe tasks where motion, sampling, or alignment is restricted to a single planar surface. Such constraints facilitate algorithms for planar tracking, plane fitting, or planar collision avoidance.

See also: plane (geometry), projection, affine plane, two-dimensional representation.