Composite Scaling 

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

To perform a composite scaling, we simply multiply the individual scaling factors together to obtain the total scaling factor. For example, if we want to scale a point by a factor of `sx1` in the x direction and `sy1` in the y direction, and then scale it again by a factor of `sx2` in the x direction and `sy2` in the y direction, we can combine the two scalings into a single composite scaling by multiplying the scaling factors:

```

sx = sx1 * sx2

sy = sy1 * sy2

```

We can then create a composite scaling matrix `M` using the total scaling factors as follows:

```

[ sx   0   0 ]

[  0  sy   0 ]

[  0   0   1 ]

```

To apply the composite scaling 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 scaling is useful for combining multiple scalings into a single transformation, which can simplify the graphics pipeline and improve performance. It is often used in animations, where objects need to change size over time. However, it is important to note that combining multiple scaling factors can lead to distortion or other unwanted effects, so it should be used carefully.