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
