The following code allows you to export to GIF with a transparent background (based on Mr.Wizard code):
g = Plot3D[{x^2 + y^2, -x^2 - y^2}, {x, -2, 2}, {y, -2, 2},
RegionFunction -> Function[{x, y, z}, x^2 + y^2 <= 4],
BoxRatios -> Automatic, PlotStyle -> None, Axes -> None,
Boxed -> False]
Export["wireframetest.gif", g, Background -> White,
"TransparentColor" -> White]
This is how it appears in the Windows Image and Fax Viewer standard in Windows XP:

, Graphics3D ( White) , GIF. , : Export - , RGB, 1/256.4971 ( 32- Windows XP Mathematica 8.0.1):
Rasterize[Graphics[{RGBColor[0, 0, 0], Disk[]}]] ===
Rasterize[Graphics[{RGBColor[0, 0, 1/256.4971], Disk[]}]]
(*=> True*)
- , :
Export["wireframetest.gif", g,
Background -> RGBColor[1, 1, 0.996],
"TransparentColor" -> RGBColor[1, 1, 0.996]]
. , , :
neededColors = Union[Flatten[Rasterize[g, "Data"], 1]]
, ( ):
colorForBackground =
RGBColor @@ (First@
Complement[Permutations[Range[0, 255], {3}], neededColors]/255)
:
Export["wireframetest.gif", g, Background -> colorForBackground,
"TransparentColor" -> colorForBackground]