# Planar projection

Mathematically, planar projections are linear transformations acting on a point in three-dimensional space ${\displaystyle \mathbf {a} _{x,y,z}}$ to give a point ${\displaystyle \mathbf {b} _{u,v}}$ on the projection plane. These transformations consist of various compositions of the five transformations: orthographic projection, rotation, shear, translation and perspective.