translatiemaat

Translatiemaat is a Dutch term used to describe the amount of translation applied to an object within a coordinate space. It is used in fields such as geometry, computer graphics, robotics, and geographic information systems to specify how far and in which direction an object is moved without rotation or deformation. The word combines translatie (translation) and maat (measure or parameter).

In mathematics and computer graphics, translation is a rigid body motion. The translatiemaat is typically represented as a translation vector. In two dimensions this vector is (dx, dy); in three dimensions it is (dx, dy, dz). In homogeneous coordinates, the translation is encoded in a translation matrix that acts on a coordinate vector to produce the translated position.

Examples: Translating a point (x, y) by translatiemaat (dx, dy) yields (x+dx, y+dy). In 3D, translating a point (x, y, z) by translatiemaat (dx, dy, dz) gives (x+dx, y+dy, z+dz). The translatiemaat can also be embedded in transformation pipelines where multiple operations (translate, rotate, scale) are combined.

Relation to other transformation parameters: a translatiemaat is distinct from rotatiemaat (rotation) and schaalmaat (scaling). In practice, the term translatiemaat is sometimes used loosely as a synonym for the translation vector or the translation parameters within a transformation stack.

Applications and usage: translatiemaat is relevant in animation, robotics, computer-aided design, and GIS for expressing displacement, camera motion, object placement, and end-effector movement. Because the term is not universally standardized, alternative terms include translation vector, translation parameters, or translational offset.