What can you tell me about Diamond Transforms?
I'm here for the entertainment. Clearly!
Perhaps I didn't use the term "transform" in a strict mathematical sense. I was more refering to the fact that as you compute a multiple integral, it reduces to a single integral, which reduces to some expression.
For example,
If we want the area between $\displaystyle y=x^2 $ and $\displaystyle y=x $ from 0 to 1 we can either express it as,
$\displaystyle \int_a^b [ F(x) - G(x) ] dx \to \int_0^1 (x-x^2) dx $
or
$\displaystyle \int_0^1 dx \int_{x^2}^x dy $
Clearly the second reduces to the first representation. It's not a "transformation" persay.