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graphics3d - Working with text in 3D graphics


I'd like to add text to the surfaces of a cuboid. I have tried Text and Epilog, and neither of them worked.


Consider the following code:


Graphics3D[

  {{EdgeForm[{Thickness[.000001], GrayLevel @ 0}], Blue, 
    Cuboid[{-4, 0, 0}, {4, 2.4, 1}]},
   {EdgeForm[{Thickness[.000001], GrayLevel @ 0}], Blue, 
    Cuboid[{-4, 3.4, 0}, {4, 3.6, 1}]},
   {EdgeForm[{Thickness[.000001], GrayLevel @ 0}], Blue, 
    Cuboid[{-4, 4.6, 0}, {4, 7, 1}]},
   {EdgeForm[{Thickness[.000001], GrayLevel @ 0}], Blue, Cuboid[{-4, 0, 0}, {4, 7, -1}]},
   {Cyan, Opacity[.95], Cuboid[{-4, 2.4, 0}, {4, 3.4, 1}]},
   {Yellow, Opacity[.95], Cuboid[{-4, 3.6, 0}, {4, 4.6, 1}]}},
  Boxed -> False, ImageSize -> 800]


enter image description here


How can I add text to an arbitrary face of a cuboid, e.g., the yellow cuboid (the color must be adjusted so it is visible)? And more generally, how to add text to an arbitrary point in space?



Answer



An approach without using Texture:



  1. Use M.R.'s ImportString[ExportString[..., "PDF"], "PDF", "TextMode" -> "Outlines"] trick to make your text into a list of FilledCurves.

  2. Use the function filledCurveToPolygons3D this answer by Simon Woods to convert FilledCurves to polygons in 3D

  3. Use NDSolve`FEM`GraphicsPrimitiveToGraphicsComplex to convert graphics primitives to GraphicsComplex

  4. Use the function rescale below to Rescale the coordinates of the primitives from the previous step to place them in the appropriate positions in the input Graphics3D.



Using text and o from @M.R.'s answer:


gc3d = NDSolve`FEM`GraphicsPrimitiveToGraphicsComplex[Cases[text /. 
     f_FilledCurve :> filledCurveToPolygons3D[f], _Polygon, Infinity]];

rescale[ranges_, style___ : FaceForm[Red]] := # /. 
    GraphicsComplex[c_, prims___] :>  GraphicsComplex[
      Transpose[Table[Rescale[Transpose[c][[i]], 
         Through[{Min, Max}@Transpose[c][[i]]], ranges[[i]]], {i, 1, 3}]], 
     {style, prims}] &;


ranges1 = {{-3.6, 3.6}, {2.5, 3.3}, {1.001, 1.001}};
ranges2 = {{-3.6, 3.6}, {3.5, 4.5}, {1.001, 1.001}}
ranges3 = {{3.6, -3.6}, {6.5, 5}, {1.001, 1.001}};
Show[Graphics3D[rescale[ranges1] @ gc3d], 
 Graphics3D[rescale[ranges2, EdgeForm[], FaceForm[Blue]] @ gc3d], 
 Graphics3D[rescale[ranges3, EdgeForm[], FaceForm[Yellow]] @ gc3d], o]

enter image description here


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