使用Mathematica中的Graphics显示3D中的多个2D图？

Question

考虑以下因素:

lalist = {{{{1, 1}, 1}, {{3, 3}, 1}, {{5, 5}, 1}},
          {{{1, 5}, 1}, {{3, 3}, 1}, {{5, 1}, 1}}}

Row[{
  Graphics[{
            Opacity[0.5],Red, 
            Disk @@@ lalist[[1]]}, 
            Frame -> True],
  Graphics[{
            Opacity[0.5],Blue, 
            Disk @@@ lalist[[2]]}, 
            Frame -> True]}
    ]

• 我是否有可能在3D曲线中将蓝调磁盘"隐藏"在红色磁盘背后？

以下不是我需要的:

Answer 1

像这样？

Graphics3D[{{Texture[
 Graphics[{Opacity[0.5], Blue, Disk @@@ lalist[[2]]}, 
  Frame -> True]], 
 Polygon[{{-1, -1, -1}, {1, -1, -1}, {1, 1, -1}, {-1, 1, -1}}, 
 VertexTextureCoordinates \[Rule] {{0, 0}, {1, 0}, {1, 1}, {0, 
    1}}]}, {Texture[
 Graphics[{Opacity[0.5], Red, Disk @@@ lalist[[1]]}, 
  Frame -> True]], 
Polygon[{{-1, -1, 1}, {1, -1, 1}, {1, 1, 1}, {-1, 1, 1}}, 
 VertexTextureCoordinates \[Rule] {{0, 0}, {1, 0}, {1, 1}, {0, 
    1}}]}}, Lighting \[Rule] "Neutral"]

很多都是不透明的.2:

tab = Table[{Opacity \[Rule] .2, 
Texture[Graphics[{Opacity[0.5], Blue, Disk @@@ lalist[[2]]}, 
  Frame -> True]], 
Polygon[{{-1, -1, z}, {1, -1, z}, {1, 1, z}, {-1, 1, z}}, 
 VertexTextureCoordinates \[Rule] {{0, 0}, {1, 0}, {1, 1}, {0, 
    1}}]}, {z, -2, 2, 1}];
plt = Graphics3D[{tab}, Lighting \[Rule] "Neutral"]

并且400在速度方面似乎没有太大问题(您可以轻松修改上面的代码来查看它).

编辑:好的,只是傻了,试试这个

Dynamic[Graphics3D[{{Texture[#], 
  Polygon[{{-1, -1, -1}, {1, -1, -1}, {1, 1, -1}, {-1, 1, -1}}, 
   VertexTextureCoordinates \[Rule] {{0, 0}, {1, 0}, {1, 1}, {0, 
      1}}]}, {Texture[Rotate[#, \[Pi]/2]], 
  Polygon[{{-1, -1, 1}, {1, -1, 1}, {1, 1, 1}, {-1, 1, 1}}, 
   VertexTextureCoordinates \[Rule] {{0, 0}, {1, 0}, {1, 1}, {0, 
      1}}]}}, Lighting \[Rule] "Neutral"] &@Binarize[CurrentImage[]]]

这使

(或类似的东西),可旋转,实时更新等

Answer 2

请参阅"午餐时间游乐场:Mathematica的乐趣"中提供的解决方案:http://mathgis.blogspot.com/2009/02/howto-display-2d-plot-in-3d.html