On Tue, 03 Dec 2013 23:24:12 -0300 "J. Vuletich (mail lists)" <juanli...@jvuletich.org> wrote:
> Hi Folks, > > The first defensive disclosure about Morphic 3 has been accepted and > published at > http://www.defensivepublications.org/publications/prefiltering-antialiasing-for-general-vector-graphics > and http://ip.com/IPCOM/000232657 .. > > Morphic 3 is described at > http://www.jvuletich.org/Morphic3/Morphic3-201006.html On http://www.jvuletich.org/Morphic3/Morphic3-201006.html, you claim: > Anti-aliasing is usually considered a technique to avoid "stairway" > artifacts on rendered images. This is a simplistic view on the > problem. Aliasing is a consequence of sampling continuous functions > (images, photos, sound, etc). Makers of digital cameras and audio > software know and use the theory behind it. You can read more at > http://en.wikipedia.org/wiki/Nyquist–Shannon_sampling_theorem. > Researches know all this. The best text books say it. However, > existing graphics software completely ignore the theory. > ... This allows for mathematically proved alias free rendering. As no > existing application does this ... I'm sort of puzzled by this. I've always thought that this was the whole idea behind the stochastic sampling thingy that the ILM/Pixar people patented (http://www.google.com/patents/US4897806) in the 1980's to achieve mathematically proven alias-free rendering (as you said) of arbitrarily shaded arbitrary geometry (even shaded with non-analytical functions). Of course, it trades aliasing for noise, but I believe that you can have the noise arbitrarily low (and for animations, it may not matter all that much anyway since one can expect some grain or noisiness on live footage so completely noise-free sampling may even look unnatural). They certainly didn't ignore the problem; they had been studying numerous analytical and non-analytical solutions for a better part of the 1980s and then finally striked gold with stochastic sampling and PRMan. -- Gath _______________________________________________ fonc mailing list fonc@vpri.org http://vpri.org/mailman/listinfo/fonc
