TRANSLATION


A translation is applied to an object by repositioning it along a straight line path from one coordinate location to another. We translate a two-dimensional point by adding translation distances, tx and ty, to the original coordinate position (x,y) to move the point to a new position (x',y')

The translation distance pair (tx, ty) is called translation vector or shift vector

 

Matrix representation of translation

This allows us to write the two-dimensional translation equations in the matrix form: