Composite Translation 

Composite translation refers to the combination of two or more translation transformations to produce a more complex translation in computer graphics. 

To perform a composite translation, we simply add the individual translation amounts together to obtain the total translation amount. For example, if we want to translate a point by `tx1` in the x direction and `ty1` in the y direction, and then translate it again by `tx2` in the x direction and `ty2` in the y direction, we can combine the two translations into a single composite translation by adding the translation amounts:

```

tx = tx1 + tx2

ty = ty1 + ty2

```

We can then create a composite translation matrix `M` using the total translation amounts as follows:

```

[ 1  0  tx ]

[ 0  1  ty ]

[ 0  0  1  ]

```

To apply the composite translation matrix `M` to a point `P = (x, y)`, we multiply it by `P` as follows:

```

P' = M * P

```

where `P' = (x', y')` is the transformed point.

Composite translation is useful for combining multiple translations into a single transformation, which can simplify the graphics pipeline and improve performance. It is often used in animations, where objects need to move along complex paths.