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Kopsavilkums

AprakstsParaboloid of Revolution.png	A 3D rendering of the paraboloid given parametrically by: ${\displaystyle x={\sqrt {u}}\cos(v)\,}$ ${\displaystyle y={\sqrt {u}}\sin(v)\,}$ ${\displaystyle z=u\,}$
Datums	2007. gada 12. aprīlis (upload date)
Avots	Self-made, using Mathematica 5.1.
Autors	Inductiveload
Atļauja: (Šī faila izmantošana citur)	Public domainPublic domainfalsefalse This work is ineligible for copyright and therefore in the public domain because it consists entirely of information that is common property and contains no original authorship.

Mathematica Code

This code does not require any modules to be loaded. It uses Chris Hill's Anti-aliasing code.

gr = ParametricPlot3D[
      {Sqrt[u]Cos[v], Sqrt[u]Sin[v], u, {EdgeForm[AbsoluteThickness[4]]}},
      {u, 0, 1},
      {v, 0, 2π},
      BoxRatios -> {1, 1, 0.8},
      PlotPoints -> {10, 50},
      Ticks -> False,
      Axes -> False,
      Boxed -> False,
      ImageSize -> 800];

aa[gr_] := Module[{siz, kersiz, ker, dat, as, ave, is, ar},
    is = ImageSize /. Options[gr, ImageSize];
    ar = AspectRatio /. Options[gr, AspectRatio];
    If[! NumberQ[is], is = 288];
    kersiz = 4;
    img = ImportString[ExportString[gr, PNG, ImageSize -> (is kersiz)], PNG];
    siz = Reverse@Dimensions[img[[1, 1]]][[{1, 2}]];
    ker = Table[N[1/kersiz^2], {kersiz}, {kersiz}];
    dat = N[img[[1, 1]]];
    as = Dimensions[dat];
    ave = Partition[Transpose[Flatten[
        ListConvolve[ker, dat[[All, All, #]]]] & /@ Range[as[[3]]]], 
    as[[2]] - kersiz + 1];
    ave = Take[ave, Sequence @@ ({1, Dimensions[ave][[#]], kersiz} & /@ Range[
    Length[Dimensions[ave]] - 1])];
    Show[Graphics[Raster[ave, {{0, 0}, 
          siz/kersiz}, {0, 255}, ColorFunction -> RGBColor]], PlotRange -> \
{{0, siz[[1]]/kersiz}, {0, siz[[2]]/kersiz}}, ImageSize -> is, AspectRatio -> 
      ar]
    ]
finalgraphic = aa[gr]