Do we blend surfaces together via linear interpolation?

Sorry, what's a gaussian? I've never encountered it before.

willowpet, I could be wrong, but I think a gaussian is a multivariate normal distribution centered at some point p.

How is blending with gaussian different from blending with interpolation here? Would interpolation lead to unsmooth result?

Can we use different filtering methods to the blending? Is Gaussian the most commonly used approach?

Is x supposed to be a 2d coordinate here?

I'm confused about what it means by it's easier to understand in 2d? Not really understanding what is going on here visually.

What are possible interpolation methods that could be applied in this theorem?

Is the method of Gaussian trying to find the center so that we could blend the two-part together?

Do we blend surfaces together via linear interpolation?

Sorry, what's a gaussian? I've never encountered it before.

willowpet, I could be wrong, but I think a gaussian is a multivariate normal distribution centered at some point p.

How is blending with gaussian different from blending with interpolation here? Would interpolation lead to unsmooth result?

Can we use different filtering methods to the blending? Is Gaussian the most commonly used approach?

Is x supposed to be a 2d coordinate here?

I'm confused about what it means by it's easier to understand in 2d? Not really understanding what is going on here visually.

What are possible interpolation methods that could be applied in this theorem?

Is the method of Gaussian trying to find the center so that we could blend the two-part together?