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Specifying background color seen through semi-transparent surface














3












$begingroup$


I would like to plot a Sphere with an arrow, in which the label obscures part of the arrow, as shown here:



Graphics3D[{Thickness[0.01],
Arrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}}],
Text[Style[Rotate["r", [Pi]/4], 32, Background -> Yellow],
{-1/(2 Sqrt[2]), 0, 1/(2 Sqrt[2])}],
Opacity[0.2], Yellow, Sphere[]},
ViewPoint -> {0, 10, 0}]


Sphere with arrow



The problem is, of course, that the Background color for the letter is not correct, so the background rectangle of the letter is (inappropriately) visible. I could adjust this background color by hand to match as well as possible the color of the sphere. I've even tried specifying the background color itself with Opacity. Alternatively, I could create an arrow in two parts so there is no need for a background dropout for the letter. None of these approaches is particularly satisfactory in the general case (where the overlapping surface may have a gradient in color, or other problems).



Is there a way to plot what I seek?










share|improve this question











$endgroup$

















    3












    $begingroup$


    I would like to plot a Sphere with an arrow, in which the label obscures part of the arrow, as shown here:



    Graphics3D[{Thickness[0.01],
    Arrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}}],
    Text[Style[Rotate["r", [Pi]/4], 32, Background -> Yellow],
    {-1/(2 Sqrt[2]), 0, 1/(2 Sqrt[2])}],
    Opacity[0.2], Yellow, Sphere[]},
    ViewPoint -> {0, 10, 0}]


    Sphere with arrow



    The problem is, of course, that the Background color for the letter is not correct, so the background rectangle of the letter is (inappropriately) visible. I could adjust this background color by hand to match as well as possible the color of the sphere. I've even tried specifying the background color itself with Opacity. Alternatively, I could create an arrow in two parts so there is no need for a background dropout for the letter. None of these approaches is particularly satisfactory in the general case (where the overlapping surface may have a gradient in color, or other problems).



    Is there a way to plot what I seek?










    share|improve this question











    $endgroup$















      3












      3








      3


      1



      $begingroup$


      I would like to plot a Sphere with an arrow, in which the label obscures part of the arrow, as shown here:



      Graphics3D[{Thickness[0.01],
      Arrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}}],
      Text[Style[Rotate["r", [Pi]/4], 32, Background -> Yellow],
      {-1/(2 Sqrt[2]), 0, 1/(2 Sqrt[2])}],
      Opacity[0.2], Yellow, Sphere[]},
      ViewPoint -> {0, 10, 0}]


      Sphere with arrow



      The problem is, of course, that the Background color for the letter is not correct, so the background rectangle of the letter is (inappropriately) visible. I could adjust this background color by hand to match as well as possible the color of the sphere. I've even tried specifying the background color itself with Opacity. Alternatively, I could create an arrow in two parts so there is no need for a background dropout for the letter. None of these approaches is particularly satisfactory in the general case (where the overlapping surface may have a gradient in color, or other problems).



      Is there a way to plot what I seek?










      share|improve this question











      $endgroup$




      I would like to plot a Sphere with an arrow, in which the label obscures part of the arrow, as shown here:



      Graphics3D[{Thickness[0.01],
      Arrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}}],
      Text[Style[Rotate["r", [Pi]/4], 32, Background -> Yellow],
      {-1/(2 Sqrt[2]), 0, 1/(2 Sqrt[2])}],
      Opacity[0.2], Yellow, Sphere[]},
      ViewPoint -> {0, 10, 0}]


      Sphere with arrow



      The problem is, of course, that the Background color for the letter is not correct, so the background rectangle of the letter is (inappropriately) visible. I could adjust this background color by hand to match as well as possible the color of the sphere. I've even tried specifying the background color itself with Opacity. Alternatively, I could create an arrow in two parts so there is no need for a background dropout for the letter. None of these approaches is particularly satisfactory in the general case (where the overlapping surface may have a gradient in color, or other problems).



      Is there a way to plot what I seek?







      background opacity






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 7 hours ago







      David G. Stork

















      asked 8 hours ago









      David G. StorkDavid G. Stork

      25.2k22256




      25.2k22256






















          2 Answers
          2






          active

          oldest

          votes


















          2












          $begingroup$

          Changing the last four lines in the graphics list to this:



          Opacity[0.2],
          Yellow,
          Arrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}}, {0.35, 0.25}],
          Sphere[]


          Gives this:



          Mathematica graphics



          The idea is that the arrow shaft is a tube, a 3D graphics primitive, so it will be colored similarly to the sphere since it will be subject to the same lighting. One problem is that if you move the graphics, the black will come through. I would rather expect the black to show through since the tube has opacity, but for some reason, it doesn't on my copy of Mathematica 12, until we move the graphics.



          This idea cannot be extended to gradient surfaces, unfortunately.






          share|improve this answer









          $endgroup$













          • $begingroup$
            Bravo. Excellent solution ($checkmark$). I will use this a lot.
            $endgroup$
            – David G. Stork
            6 hours ago



















          2












          $begingroup$

          Another possibility is to invent your own arrow primitive:



          textarrow[{p_, q_}, text_, opts : OptionsPattern[]] := 
          With[{t = 0.4},
          {
          Line[{p, (1 - t) p + t q}],
          Arrow[{t p + (1 - t) q, q}],
          Inset[Graphics[Text[text, {0, 0}, opts]], (p + q)/2]
          }
          ];

          Graphics3D[{
          Thickness[0.01],
          textarrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}},
          Style[Rotate["r", [Pi]/4], 32]],
          Opacity[0.6],
          Yellow,
          Specularity[White, 30],
          Sphere[]
          },
          ViewPoint -> {0, 10, 0}
          ]


          enter image description here



          However, the gap in the arrow does not scale with the length of the text or its font size.






          share|improve this answer









          $endgroup$














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            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            2












            $begingroup$

            Changing the last four lines in the graphics list to this:



            Opacity[0.2],
            Yellow,
            Arrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}}, {0.35, 0.25}],
            Sphere[]


            Gives this:



            Mathematica graphics



            The idea is that the arrow shaft is a tube, a 3D graphics primitive, so it will be colored similarly to the sphere since it will be subject to the same lighting. One problem is that if you move the graphics, the black will come through. I would rather expect the black to show through since the tube has opacity, but for some reason, it doesn't on my copy of Mathematica 12, until we move the graphics.



            This idea cannot be extended to gradient surfaces, unfortunately.






            share|improve this answer









            $endgroup$













            • $begingroup$
              Bravo. Excellent solution ($checkmark$). I will use this a lot.
              $endgroup$
              – David G. Stork
              6 hours ago
















            2












            $begingroup$

            Changing the last four lines in the graphics list to this:



            Opacity[0.2],
            Yellow,
            Arrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}}, {0.35, 0.25}],
            Sphere[]


            Gives this:



            Mathematica graphics



            The idea is that the arrow shaft is a tube, a 3D graphics primitive, so it will be colored similarly to the sphere since it will be subject to the same lighting. One problem is that if you move the graphics, the black will come through. I would rather expect the black to show through since the tube has opacity, but for some reason, it doesn't on my copy of Mathematica 12, until we move the graphics.



            This idea cannot be extended to gradient surfaces, unfortunately.






            share|improve this answer









            $endgroup$













            • $begingroup$
              Bravo. Excellent solution ($checkmark$). I will use this a lot.
              $endgroup$
              – David G. Stork
              6 hours ago














            2












            2








            2





            $begingroup$

            Changing the last four lines in the graphics list to this:



            Opacity[0.2],
            Yellow,
            Arrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}}, {0.35, 0.25}],
            Sphere[]


            Gives this:



            Mathematica graphics



            The idea is that the arrow shaft is a tube, a 3D graphics primitive, so it will be colored similarly to the sphere since it will be subject to the same lighting. One problem is that if you move the graphics, the black will come through. I would rather expect the black to show through since the tube has opacity, but for some reason, it doesn't on my copy of Mathematica 12, until we move the graphics.



            This idea cannot be extended to gradient surfaces, unfortunately.






            share|improve this answer









            $endgroup$



            Changing the last four lines in the graphics list to this:



            Opacity[0.2],
            Yellow,
            Arrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}}, {0.35, 0.25}],
            Sphere[]


            Gives this:



            Mathematica graphics



            The idea is that the arrow shaft is a tube, a 3D graphics primitive, so it will be colored similarly to the sphere since it will be subject to the same lighting. One problem is that if you move the graphics, the black will come through. I would rather expect the black to show through since the tube has opacity, but for some reason, it doesn't on my copy of Mathematica 12, until we move the graphics.



            This idea cannot be extended to gradient surfaces, unfortunately.







            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered 6 hours ago









            C. E.C. E.

            52.2k3102209




            52.2k3102209












            • $begingroup$
              Bravo. Excellent solution ($checkmark$). I will use this a lot.
              $endgroup$
              – David G. Stork
              6 hours ago


















            • $begingroup$
              Bravo. Excellent solution ($checkmark$). I will use this a lot.
              $endgroup$
              – David G. Stork
              6 hours ago
















            $begingroup$
            Bravo. Excellent solution ($checkmark$). I will use this a lot.
            $endgroup$
            – David G. Stork
            6 hours ago




            $begingroup$
            Bravo. Excellent solution ($checkmark$). I will use this a lot.
            $endgroup$
            – David G. Stork
            6 hours ago











            2












            $begingroup$

            Another possibility is to invent your own arrow primitive:



            textarrow[{p_, q_}, text_, opts : OptionsPattern[]] := 
            With[{t = 0.4},
            {
            Line[{p, (1 - t) p + t q}],
            Arrow[{t p + (1 - t) q, q}],
            Inset[Graphics[Text[text, {0, 0}, opts]], (p + q)/2]
            }
            ];

            Graphics3D[{
            Thickness[0.01],
            textarrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}},
            Style[Rotate["r", [Pi]/4], 32]],
            Opacity[0.6],
            Yellow,
            Specularity[White, 30],
            Sphere[]
            },
            ViewPoint -> {0, 10, 0}
            ]


            enter image description here



            However, the gap in the arrow does not scale with the length of the text or its font size.






            share|improve this answer









            $endgroup$


















              2












              $begingroup$

              Another possibility is to invent your own arrow primitive:



              textarrow[{p_, q_}, text_, opts : OptionsPattern[]] := 
              With[{t = 0.4},
              {
              Line[{p, (1 - t) p + t q}],
              Arrow[{t p + (1 - t) q, q}],
              Inset[Graphics[Text[text, {0, 0}, opts]], (p + q)/2]
              }
              ];

              Graphics3D[{
              Thickness[0.01],
              textarrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}},
              Style[Rotate["r", [Pi]/4], 32]],
              Opacity[0.6],
              Yellow,
              Specularity[White, 30],
              Sphere[]
              },
              ViewPoint -> {0, 10, 0}
              ]


              enter image description here



              However, the gap in the arrow does not scale with the length of the text or its font size.






              share|improve this answer









              $endgroup$
















                2












                2








                2





                $begingroup$

                Another possibility is to invent your own arrow primitive:



                textarrow[{p_, q_}, text_, opts : OptionsPattern[]] := 
                With[{t = 0.4},
                {
                Line[{p, (1 - t) p + t q}],
                Arrow[{t p + (1 - t) q, q}],
                Inset[Graphics[Text[text, {0, 0}, opts]], (p + q)/2]
                }
                ];

                Graphics3D[{
                Thickness[0.01],
                textarrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}},
                Style[Rotate["r", [Pi]/4], 32]],
                Opacity[0.6],
                Yellow,
                Specularity[White, 30],
                Sphere[]
                },
                ViewPoint -> {0, 10, 0}
                ]


                enter image description here



                However, the gap in the arrow does not scale with the length of the text or its font size.






                share|improve this answer









                $endgroup$



                Another possibility is to invent your own arrow primitive:



                textarrow[{p_, q_}, text_, opts : OptionsPattern[]] := 
                With[{t = 0.4},
                {
                Line[{p, (1 - t) p + t q}],
                Arrow[{t p + (1 - t) q, q}],
                Inset[Graphics[Text[text, {0, 0}, opts]], (p + q)/2]
                }
                ];

                Graphics3D[{
                Thickness[0.01],
                textarrow[{{0, 0, 0}, {-1/Sqrt[2], 0, 1/Sqrt[2]}},
                Style[Rotate["r", [Pi]/4], 32]],
                Opacity[0.6],
                Yellow,
                Specularity[White, 30],
                Sphere[]
                },
                ViewPoint -> {0, 10, 0}
                ]


                enter image description here



                However, the gap in the arrow does not scale with the length of the text or its font size.







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 5 hours ago









                Henrik SchumacherHenrik Schumacher

                63.2k587176




                63.2k587176






























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