Re: The size of a 3D plot

• To: mathgroup at smc.vnet.net
• Subject: [mg86721] Re: The size of a 3D plot
• From: m.r at inbox.ru
• Date: Wed, 19 Mar 2008 05:26:12 -0500 (EST)
• References: <fripuj\$r23\$1@smc.vnet.net>

```On Mar 16, 3:40 am, Mariano Su=E1rez-Alvarez
<mariano.suarezalva... at gmail.com> wrote:
> Hi all,
>
> is there a way to have a 3D graphic be sized so that it fits tightly
> in its bounding box? I seem to only be able to have it sized so that
> the *box* circumscribing it fits in the bounding box, as in
>
>   Graphics[{Sphere[]}]
>
> -- m

Here's some code that may do what you need, assuming you have a 3D
graphic with white background:

DynamicModule[
{update, gr, gr2, k = 4,
w = 360, h = 360, xmarg = 0, ymarg = 0, xd = 0, yd = 0,
vp = {1.3, -2.4, 2.}, va = Automatic, vv = {0, 0, 1}},
update[] :=
(gr = Rasterize[
Graphics3D[Cylinder[], Boxed -> False, ImageSize -> w,
ViewAngle -> va, ViewPoint -> vp, ViewVertical -> vv],
"Data", ImageResolution -> 72/k];
{w, h} = k Dimensions[gr][[{2, 1}]];
gr2 = Split[gr, Min[##] == 255 &];
{ymarg, yd} =
k {# + #2 - 2, (#2 - #)/2} & @@ Length /@ gr2[[{1, -1}]];
gr2 = Split[Transpose@gr, Min[##] == 255 &];
{xmarg, xd} =
k {# + #2 - 2, (#2 - #)/2} & @@ Length /@ gr2[[{-1, 1}]]
);
update[];
EventHandler[
Graphics[Inset[
Graphics3D[Cylinder[], Boxed -> False, ImageSize -> w,
RotationAction -> "Clip",
ViewAngle -> Dynamic[va],
ViewPoint -> Dynamic[vp],
ViewVertical -> Dynamic[vv]],
{0, 0},
Dynamic@Offset[{xd, yd}, ImageScaled at {.5, .5}],
Dynamic@Offset@{w, h},
ContentSelectable -> True],
ImageSize -> Dynamic[{w - xmarg, h - ymarg},
(w = #[[1]] + xmarg; update[]) &],
ContentSelectable -> True] //
Framed[#, FrameMargins -> 0] &,
{"MouseUp" :> update[]}]
]

Maxim Rytin
m.r at inbox.ru

```

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