Why aren't both sides of a surface equally opaque?

Discussion in 'Mathematica' started by David Park, Sep 6, 2007.

  1. David Park

    David Park Guest

    The following illustrates a strange behavior of surfaces with respect to
    opacity. The code draws a narrow cylinder with a red line on the inside of
    the cylinder and a black line on the outside of the cylinder. The cylinder
    is completely opaque. The inside red line does not show through the
    cylinder, which is proper behavior. However, the black outside line does
    show through the back face for a considerable range, which is certainly
    improper behavior.

    cylinder =
    First[ParametricPlot3D[{5 Cos[\[Theta]1], 5 Sin[\[Theta]1],
    z}, {\[Theta]1, 0, 2 \[Pi]}, {z, -1, 1},
    PlotStyle -> {FaceForm[Orange, LightGray]},
    PlotPoints -> {41, 5},
    Mesh -> None]];

    outsideline =
    First[ParametricPlot3D[{5.1 Cos[\[Theta]1], 5.1 Sin[\[Theta]1],
    0.2}, {\[Theta]1, 0, 2 \[Pi]},
    PlotStyle -> {Black},
    PlotPoints -> 41]];

    insideline =
    First[ParametricPlot3D[{4.9 Cos[\[Theta]1],
    4.9 Sin[\[Theta]1], -0.2}, {\[Theta]1, 0, 2 \[Pi]},
    PlotStyle -> {Red},
    PlotPoints -> 41]];

    Show[Graphics3D[
    {cylinder,
    outsideline,
    insideline}],
    Lighting -> "Neutral",
    ViewPoint -> {1.718, -2.747, 0.975},
    Boxed -> False
     
    David Park, Sep 6, 2007
    #1
    1. Advertisements

  2. Hi,

    that is a feature (!) because the Plot3D[] commands per default
    show mesh lines. These meshlines are not more the outline of the
    polygons. The mesh lines are separate lines. If you put a line
    on a polygonal surface the result would be, that the line intersect
    the polygonal surface approximation. To avoid that, the lines are
    rendered with an offset in viewing direction.
    What you see is just that offset, that is too huge for you example.

    In principle, there should be an Graphics3D[] option the control the
    amount of line offsets.

    Regards
    Jens
     
    Jens-Peer Kuska, Sep 7, 2007
    #2
    1. Advertisements

Ask a Question

Want to reply to this thread or ask your own question?

You'll need to choose a username for the site, which only take a couple of moments (here). After that, you can post your question and our members will help you out.