3D graphs and projections












1














I found this image on a presentation.
enter image description here
I am working on MWE but I was wondering if you had ever come through that type of representation with a projection on the 3d graph ?
It could look quite like TeXexample but impossible to adapt to real data so far. MWE to follow.
The green graph is projected on the 3D graph (transformation) and projected on the axis below.










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  • The projection of the red graph (yielding the cyan and blue graphs) is almost trivial: just set the y or z coordinate to zero. What's not trivial is to guess the red graph from your screen shot. So please add an MWE. An example, though in a slightly different context, can be found here. Yet this is unlikely the only example of this kind.
    – marmot
    Oct 24 at 0:43


















1














I found this image on a presentation.
enter image description here
I am working on MWE but I was wondering if you had ever come through that type of representation with a projection on the 3d graph ?
It could look quite like TeXexample but impossible to adapt to real data so far. MWE to follow.
The green graph is projected on the 3D graph (transformation) and projected on the axis below.










share|improve this question
























  • The projection of the red graph (yielding the cyan and blue graphs) is almost trivial: just set the y or z coordinate to zero. What's not trivial is to guess the red graph from your screen shot. So please add an MWE. An example, though in a slightly different context, can be found here. Yet this is unlikely the only example of this kind.
    – marmot
    Oct 24 at 0:43
















1












1








1







I found this image on a presentation.
enter image description here
I am working on MWE but I was wondering if you had ever come through that type of representation with a projection on the 3d graph ?
It could look quite like TeXexample but impossible to adapt to real data so far. MWE to follow.
The green graph is projected on the 3D graph (transformation) and projected on the axis below.










share|improve this question















I found this image on a presentation.
enter image description here
I am working on MWE but I was wondering if you had ever come through that type of representation with a projection on the 3d graph ?
It could look quite like TeXexample but impossible to adapt to real data so far. MWE to follow.
The green graph is projected on the 3D graph (transformation) and projected on the axis below.







pgfplots 3d






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share|improve this question













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edited Oct 24 at 11:53

























asked Oct 24 at 0:39









Julien-Elie Taieb

3816




3816












  • The projection of the red graph (yielding the cyan and blue graphs) is almost trivial: just set the y or z coordinate to zero. What's not trivial is to guess the red graph from your screen shot. So please add an MWE. An example, though in a slightly different context, can be found here. Yet this is unlikely the only example of this kind.
    – marmot
    Oct 24 at 0:43




















  • The projection of the red graph (yielding the cyan and blue graphs) is almost trivial: just set the y or z coordinate to zero. What's not trivial is to guess the red graph from your screen shot. So please add an MWE. An example, though in a slightly different context, can be found here. Yet this is unlikely the only example of this kind.
    – marmot
    Oct 24 at 0:43


















The projection of the red graph (yielding the cyan and blue graphs) is almost trivial: just set the y or z coordinate to zero. What's not trivial is to guess the red graph from your screen shot. So please add an MWE. An example, though in a slightly different context, can be found here. Yet this is unlikely the only example of this kind.
– marmot
Oct 24 at 0:43






The projection of the red graph (yielding the cyan and blue graphs) is almost trivial: just set the y or z coordinate to zero. What's not trivial is to guess the red graph from your screen shot. So please add an MWE. An example, though in a slightly different context, can be found here. Yet this is unlikely the only example of this kind.
– marmot
Oct 24 at 0:43












1 Answer
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If you have a function, you can do the projections by, well, projecting the result.



documentclass[tikz,border=3.14mm]{standalone}
usepackage{pgfplots}
pgfplotsset{compat=1.16}
begin{document}
begin{tikzpicture}[scale=1.8,declare function={f(x,y)=exp(0.1*y);
g(x)=sin(x*100)+0.2*cos(567*x);}]
begin{axis}[view={45}{40},axis on top,
xlabel=$x$,ylabel=$y$,
mesh/interior colormap name=hot,
colormap/hot]
addplot3[domain=0:5,samples y=1,samples=51,blue] (x,{g(x)},{f(0,-2.5)});
addplot3[domain=0:5,domain y=-2.5:2.5,surf,shader =faceted interp,opacity=0.5]
{f(x,y)};
addplot3[domain=0:5,samples y=1,samples=51] (x,{g(x)},{f(x,g(x))});
addplot3[domain=0:5,samples y=1,samples=51,red] (x,{-2.5},{f(x,g(x))});
end{axis}
end{tikzpicture}
end{document}


enter image description here






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    1 Answer
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    1 Answer
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    active

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    0














    If you have a function, you can do the projections by, well, projecting the result.



    documentclass[tikz,border=3.14mm]{standalone}
    usepackage{pgfplots}
    pgfplotsset{compat=1.16}
    begin{document}
    begin{tikzpicture}[scale=1.8,declare function={f(x,y)=exp(0.1*y);
    g(x)=sin(x*100)+0.2*cos(567*x);}]
    begin{axis}[view={45}{40},axis on top,
    xlabel=$x$,ylabel=$y$,
    mesh/interior colormap name=hot,
    colormap/hot]
    addplot3[domain=0:5,samples y=1,samples=51,blue] (x,{g(x)},{f(0,-2.5)});
    addplot3[domain=0:5,domain y=-2.5:2.5,surf,shader =faceted interp,opacity=0.5]
    {f(x,y)};
    addplot3[domain=0:5,samples y=1,samples=51] (x,{g(x)},{f(x,g(x))});
    addplot3[domain=0:5,samples y=1,samples=51,red] (x,{-2.5},{f(x,g(x))});
    end{axis}
    end{tikzpicture}
    end{document}


    enter image description here






    share|improve this answer


























      0














      If you have a function, you can do the projections by, well, projecting the result.



      documentclass[tikz,border=3.14mm]{standalone}
      usepackage{pgfplots}
      pgfplotsset{compat=1.16}
      begin{document}
      begin{tikzpicture}[scale=1.8,declare function={f(x,y)=exp(0.1*y);
      g(x)=sin(x*100)+0.2*cos(567*x);}]
      begin{axis}[view={45}{40},axis on top,
      xlabel=$x$,ylabel=$y$,
      mesh/interior colormap name=hot,
      colormap/hot]
      addplot3[domain=0:5,samples y=1,samples=51,blue] (x,{g(x)},{f(0,-2.5)});
      addplot3[domain=0:5,domain y=-2.5:2.5,surf,shader =faceted interp,opacity=0.5]
      {f(x,y)};
      addplot3[domain=0:5,samples y=1,samples=51] (x,{g(x)},{f(x,g(x))});
      addplot3[domain=0:5,samples y=1,samples=51,red] (x,{-2.5},{f(x,g(x))});
      end{axis}
      end{tikzpicture}
      end{document}


      enter image description here






      share|improve this answer
























        0












        0








        0






        If you have a function, you can do the projections by, well, projecting the result.



        documentclass[tikz,border=3.14mm]{standalone}
        usepackage{pgfplots}
        pgfplotsset{compat=1.16}
        begin{document}
        begin{tikzpicture}[scale=1.8,declare function={f(x,y)=exp(0.1*y);
        g(x)=sin(x*100)+0.2*cos(567*x);}]
        begin{axis}[view={45}{40},axis on top,
        xlabel=$x$,ylabel=$y$,
        mesh/interior colormap name=hot,
        colormap/hot]
        addplot3[domain=0:5,samples y=1,samples=51,blue] (x,{g(x)},{f(0,-2.5)});
        addplot3[domain=0:5,domain y=-2.5:2.5,surf,shader =faceted interp,opacity=0.5]
        {f(x,y)};
        addplot3[domain=0:5,samples y=1,samples=51] (x,{g(x)},{f(x,g(x))});
        addplot3[domain=0:5,samples y=1,samples=51,red] (x,{-2.5},{f(x,g(x))});
        end{axis}
        end{tikzpicture}
        end{document}


        enter image description here






        share|improve this answer












        If you have a function, you can do the projections by, well, projecting the result.



        documentclass[tikz,border=3.14mm]{standalone}
        usepackage{pgfplots}
        pgfplotsset{compat=1.16}
        begin{document}
        begin{tikzpicture}[scale=1.8,declare function={f(x,y)=exp(0.1*y);
        g(x)=sin(x*100)+0.2*cos(567*x);}]
        begin{axis}[view={45}{40},axis on top,
        xlabel=$x$,ylabel=$y$,
        mesh/interior colormap name=hot,
        colormap/hot]
        addplot3[domain=0:5,samples y=1,samples=51,blue] (x,{g(x)},{f(0,-2.5)});
        addplot3[domain=0:5,domain y=-2.5:2.5,surf,shader =faceted interp,opacity=0.5]
        {f(x,y)};
        addplot3[domain=0:5,samples y=1,samples=51] (x,{g(x)},{f(x,g(x))});
        addplot3[domain=0:5,samples y=1,samples=51,red] (x,{-2.5},{f(x,g(x))});
        end{axis}
        end{tikzpicture}
        end{document}


        enter image description here







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 42 mins ago









        marmot

        86.9k499185




        86.9k499185






























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