Uniform Subdivision : Applying Averaging Mask

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Hi All

I hope I have the right section for this, basically I am trying to learn about the different ways that you can do uniform sub devision. So I've been reading up on Chaikin, DLG etc..

One thing that has me stumped is how do you apply the averaging mask?

For example I have the following vertices:

(1,1),(2,1),(1.5,2),(1,2)(1,1)

To perform DLG uniform subdivision I get the midpoints between each of these and get:
(1,1),(1.5,1),(2,1),(1.75,1),(1.5,2),(1.25,2),(1,2),(1,1.5),(1,1)

I then try and perform the second subdivision and get the midpoints again and apply the averaging mask, but I am unsure how exactly I apply the averaging mask.

r=(1/16)(-2,5,10,5,-2)

Any help would be great, as I've only found a few sources on the web, but none of them explain exactly how you apply the mask. (As you can tell I'm new to all of this).

Thanks for the help.

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