Translation (geometry) 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 transformation is a one-to-one correspondence between two sets of points or a mapping from one plane to another. A translation can be described as a rigid motion: the other rigid motions are rotations, reflections and glide 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
Distance geometry problem Manaus, Brazil: DGA13. Distance geometry problem The distance geometry problem is that of characterization and study of sets of points based "only" on given values of the distances between member pairs. Therefore distance geometry has immediate relevance where distance values are determined or considered, such as biology, sensor network, surveying, cartography, and physics. The distance geometry problem (DGP) is that of finding the coordinates of a set of points by using the distances between some pairs of such points. There exists nowadays a large community that is actively working on this problem, because there are several real-life applications that can