ABSTRACT
Consider two affine spaces A and B of dimensions n and m, respectively, and a map $ : A —► B which leaves affine combinations invariant. The transformation $ is called an affine map. Let p 0, . . . , pn form a barycentric coordinate system of A and let q ^ , . . . , q n be its image in B, as illustrated in Figure 11.1. Since $ is affine, a point x = p 0#o H-------1-Pn^n of A is mapped onto the point
one has
or more concisely as y = Qx.
