Affine Transformation (Paperback)

In geometry, an affine transformation or affine map or an affinity (from the Latin, affinis, "connected with") between two vector spaces (strictly speaking, two affine spaces) consists of a linear transformation followed by a translation:x mapsto A x+ b.In the finite-dimensional case each affine transformation is given by a matrix A and a vector b, satisfying certain properties described below.Geometrically, an affine transformation in Euclidean space is one that preserves