TRANSLATION

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 (x1 , y1).

               x1 = x + tx

               y1 = y + ty

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

We can express the translation as a single matrix equation.

     

      P1 = P + T

    x1               x              tx

             =              +

    y1               y              ty