2D computer graphics endowed with a self-rendering method—a procedure which assigns colors to the image pixels by an arbitrary algorithm. Complex models can be built by combining simpler objects, in the paradigms of object-oriented programming. In Euclidean geometry, a translation moves every point a constant distance in a specified direction. A translation can be described as a rigid motion: other rigid motions include rotations and reflections. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. A translation operator is an operator formula_1 such that formula_2 If v
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