flf said:I'd just like to point out that there are no curved surfaces known in the universe. Under sufficient scrutiny (and magnification) you will find that every surface is composed of smaller non-curved surfaces, and the flat plane becomes the mountainous jumble of ridges under an electron microscope.
It's irrelevant - the microfacets are taken account of by such things as diffuse shading and the ^N term in Phong's specular shading. If you tried to model them directly, the aliasing would be horrendous.
Below that everything just become fields of quantum probability. You can go ahead and render your scene at that resolution if you like - come back in 1000 years time when you've rendered your quake scene to let us know how you've got on.
Anyway, back to sanity, I'd say at least 90% of the objects around my desk would be modelled efficiently by curved surface patches of some form or another.
The original is actually:Reminds me of a little poem from a sci-fi book I read a while back:
Bigger fleas have little fleas
upon their back to bite them
and little fleas have lesser fleas
and so on ad infinitum
"So, the naturalists observe, the flea,
Hath smaller fleas that on him prey;
And these have smaller still to bite 'em;
And so proceed, ad infinitum"
Jonathon Swift (1667–1745)