projectie

Projectie is a Dutch noun meaning projection. The term is used across several disciplines to describe the act or result of projecting something, often onto a surface or into a different domain. It comes from the Latin projectio and is used in both technical and everyday language.

In mathematics and geometry, a projection refers to a linear operator that maps a vector space onto a subspace. Formally, a projection P satisfies P^2 = P. The image of P is the subspace, and each vector is mapped to its component within that subspace. Orthogonal projections are common when a specific inner product defines the closest point in the subspace, such as projecting onto a line or a plane.

In computer graphics and computer vision, projection describes transforming 3D coordinates into 2D screen coordinates. Perspective projection creates depth cues similar to human vision, while orthographic projection preserves sizes. Projection matrices are central to rendering pipelines, enabling the display of 3D scenes on 2D displays.

In psychology, projectie refers to a defense mechanism in which a person attributes their own unacceptable thoughts or feelings to someone else. This process can influence interpersonal perception and relationships and is discussed within psychodynamic theories.

In media technology, projectie denotes the projection of images onto a screen using a projector, a foundational concept in cinema and slide-based presentations.

In cartography and surveying, map projection (kaartprojectie) is the method of representing the curved surface of the Earth on a flat plane, inevitably introducing distortions in area, shape, distance, or direction.

See also projection (disambiguation).