Translation (geometry) of the object. The translation vector formula_8 common to all points of the object describes a particular type of displacement of the object, usually called a "linear" displacement to distinguish it from displacements involving rotation, called "angular" displacements. When considering spacetime, a change of time coordinate is considered to be a translation. For example, the Galilean group and the Poincaré group include translations with respect to time. Translation (geometry) In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. In Euclidean geometry a
Shape analysis (digital geometry) Shape analysis (digital geometry) This article describes shape analysis to analyze and process geometric shapes. The shape analysis described here is related to the statistical analysis of geometric shapes, to shape matching and shape recognition. It applies purely to the geometry of an object, not to the structural analysis that deals with predicted behaviour of mechanical parts. "Shape analysis" is the (mostly) automatic analysis of geometric shapes, for example using a computer to detect similarly shaped objects in a database or parts that fit together. For a computer to automatically analyze and process geometric shapes, the objects have to be