HOMOGENEOUS COORDINATES

The moving of a picture from one place to a difference during a line is named a translation. A translation could also be done by adding or subtracting to every point, the amount, by which picture is required to be shifted. 

The translation of a degree, line or a whole image on the screen, a couple of point apart from origin, is achieved by first moving the image until the purpose of translation occupies the origin, then performing translation, Then finally moving the image to its original position. 

Translation of point by the change of coordinate can't be combined with other transformation by using the simple matrix application. Such a mix is important if we wish to rotate a picture a couple of point apart from origin by translation, rotation again translation.

To combine these three transformations into one transformation, homogeneous coordinates are used. In homogeneous frame of reference, two-dimensional coordinate positions (x, y) are represented by triple-coordinates