animation illustrating increased depth of anti-aliasing: http://www.jwm-art.net/tanned.gif
On 4/6/2007, "james jwm-art net" <[EMAIL PROTECTED]> wrote: >anti-aliasing? > > >On 4/6/2007, "Alan Sondheim" <[EMAIL PROTECTED]> wrote: > >> >> >> >>Raster >> >> >>I graph various forms of the equation y = tan(x^2); interesting phenomena >>appear. Check out the .gif images at http://www.asondheim.org/ - the names >>are equation00.gif, equation01.gif, etc. The graphs extend along the >>x-axis with what appear to be constantly changing local symmetries. I have >>experimented with different software/hardware, beginning with a TI-85 >>graphing calculator and a highly precision similar software program, >>GraphCalc (obtained from Sourceforge). I've also used the graphing calcu- >>lator and Mathematica in Mac OS9. Only in the last, Mathematica, did the >>symmetries seem to disappear. I think the phenomena - the perception of >>local symmetries - is the result of raster, i.e. the digitalization pro- >>cess in the calculation of what are basically analogic functions. Raster >>is tolerance-dependent; it's the digital 'jump' screened against the real. >>The symmetries appear to be, masquerade as, independent 'things,' dif- >>ferent from one another, lined up and sometimes intersecting in a chaotic >>fashion. In other words, the appearance of things is constituted here by >>the very absence of things; within the digital raster, every point, pixel, >>is independent, disconnected, from every other. >> >>Ah well, it's late and I'm not expressing myself well. I'll try again: >>Given y = tan(x^2), the resulting graph on a digital computer seems to be >>raster-dependent; the image appears to possess local and intersecting >>symmetrical segments which seem chaotic. These segments can be considered >>'things' in the sense of perceptually-defined contour-mapping. (In other >>words, they appear to be things, local processes, local phenomena, whether >>or not they are in 'actuality,' within the real.) Using a bad metaphor, >>such 'things' are clearly gestalt images of disconnected pixels - i.e. a >>line in the graph which appears connected, isn't. When sections of the >>graph are enlarged, their morphology may radically transform. So what I'm >>interested in is the digital representation of this particular group of >>analogic functions, and the mathematics behind it. Is the representation >>really chaotic? Are the symmetries really geometrically different from one >>another, and if so, what's the mathematics behind this? And so forth. Any >>help you might give me s greatly appreciated. In the meantime, the images >>are beautiful. Check out the gifs and jpegs at http://www.asondheim.org/ - >>look at the 'equation' files. >> >>_______________________________________________ >>NetBehaviour mailing list >>[email protected] >>http://www.netbehaviour.org/mailman/listinfo/netbehaviour >> > >_______________________________________________ >NetBehaviour mailing list >[email protected] >http://www.netbehaviour.org/mailman/listinfo/netbehaviour > _______________________________________________ NetBehaviour mailing list [email protected] http://www.netbehaviour.org/mailman/listinfo/netbehaviour
