Projection of included 2D graphics to a plane

Question

General purpose

I want to project a graphic file from external sources (example.pdf saved on my computer e.g. a chip design) on the bottom of a 3D graphic (which I can draw in LaTeX by using TikZ, pstrick or asymptote).

I know that it works for text letters, see How to project text onto a plane?. So I guess that it would also work with an included graphics!

Example using TikZ

I also achieved a minor step towards this goal but I am not happy with performing a 2D rotation in 3D. How can I configure the command

/tikz/cm={a, b, c, d, coordinate}

in order to perform a 3D rotation? The command is given in the tikz-pgf manual (v3.0.0, p.363) in chapter 25.3. Or is there a simpler way to go? Also Canvas Transformation could be used...

By the way, I perform 3D rotations by using

\tdplotsetmaincoords{phi}{theta}

which is contained in the package tikz-3dplot.

My MWE:

\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{3D,calc}

\begin{document}

\begin{tikzpicture}
\coordinate (chip) at (0,0,0);
\node[cm={1,0,cos(20),sin(20),(0,0)}] at (coordA){\includegraphics[width=20em]{example.pdf}};
\end{tikzpicture}
\end{document}

Asymptote

I am also interested whether I can include graphics with asymptote or not.

EDIT (not minimal tikz example):

I want to give you an impression what I am intended to do:

\documentclass[border=5pt]{standalone}
\usepackage{tikz,tikz-3dplot}
\usetikzlibrary{calc}

\newcommand{\drawrect}[4]{
    \fill[red!50,opacity=0.5] #1 -- #2 -- #3 -- #4 -- cycle;
}

\begin{document}

\begin{tikzpicture}
% Underlaying graphics:
\node[cm={cos(-20),sin(-20),sin(80),cos(80),(0,0)}]{\includegraphics[width=20em]{example-image.pdf}};
% Position of the box:
\tdplotsetmaincoords{75.3}{55}
\begin{scope}[tdplot_main_coords,scale=1]
    \coordinate (positionA) at (+2.2,0,0);
\end{scope}
% Draw the rotated box:
\tdplotsetmaincoords{75.3}{55+90+9};
\begin{scope}[tdplot_main_coords,scale=1]
    % Rectangle's (side's) half sizes
    \coordinate (RectangleX) at (1.15,0,0);
    \coordinate (RectangleY) at (0,1.15,0);
    \coordinate (RectangleZ) at (0,0,0.2);
    % Center of cube:
    \coordinate (root) at ($(positionA)+(RectangleZ)$);
    % Cube:
    \drawrect
        {($(root)-(RectangleX)-(RectangleY)-(RectangleZ)$)}
        {($(root)+(RectangleX)-(RectangleY)-(RectangleZ)$)}
        {($(root)+(RectangleX)-(RectangleY)+(RectangleZ)$)}
        {($(root)-(RectangleX)-(RectangleY)+(RectangleZ)$)}
    \drawrect
        {($(root)-(RectangleX)-(RectangleY)-(RectangleZ)$)}
        {($(root)+(RectangleX)-(RectangleY)-(RectangleZ)$)}
        {($(root)+(RectangleX)+(RectangleY)-(RectangleZ)$)}
        {($(root)-(RectangleX)+(RectangleY)-(RectangleZ)$)}
    \drawrect
        {($(root)-(RectangleX)-(RectangleY)-(RectangleZ)$)}
        {($(root)-(RectangleX)-(RectangleY)+(RectangleZ)$)}
        {($(root)-(RectangleX)+(RectangleY)+(RectangleZ)$)}
        {($(root)-(RectangleX)+(RectangleY)-(RectangleZ)$)}
    \drawrect
        {($(root)+(RectangleX)+(RectangleY)+(RectangleZ)$)}
        {($(root)+(RectangleX)+(RectangleY)-(RectangleZ)$)}
        {($(root)+(RectangleX)-(RectangleY)-(RectangleZ)$)}
        {($(root)+(RectangleX)-(RectangleY)+(RectangleZ)$)}
    \drawrect
        {($(root)+(RectangleX)+(RectangleY)+(RectangleZ)$)}
        {($(root)+(RectangleX)+(RectangleY)-(RectangleZ)$)}
        {($(root)-(RectangleX)+(RectangleY)-(RectangleZ)$)}
        {($(root)-(RectangleX)+(RectangleY)+(RectangleZ)$)}
    \drawrect
        {($(root)+(RectangleX)+(RectangleY)+(RectangleZ)$)}
        {($(root)-(RectangleX)+(RectangleY)+(RectangleZ)$)}
        {($(root)-(RectangleX)-(RectangleY)+(RectangleZ)$)}
        {($(root)+(RectangleX)-(RectangleY)+(RectangleZ)$)}
    \end{scope}
\end{tikzpicture}
\end{document}

which results in:

Other application

It is somehow similar to an architect's plan. A 2D plan below and a simple 3D structure on top of it.

Answer 1

In a cube the bottom is invisible, the reason why I define an own plane P2inner. Needs the lates pst-solides3d and an eps image which has only basic line elements, like lineto curveto and moveto:

\documentclass[pstricks]{standalone}
\usepackage{pst-solides3d}
\begin{document}

\psset{viewpoint=20 -120 30 rtp2xyz,Decran=20,unitPicture=15,lightsrc=viewpoint}
\begin{pspicture}[solidmemory](-7,-9)(8,3)
\psSolid[object=plan,definition=normalpoint,base=-6 6 -6 6,args={0 0 -4 [0 0.1 1]},
  fillstyle=solid,linecolor=black!15,fillcolor=black!10,name=P2inner]
\psImage[unitPicture=30,file=tiger.eps,origine=0 0 -4,normal=0 0 1,phi=180](-4,0)
\psSolid[object=cube,a=4,name=Cube,linecolor=red,numfaces=all,fontsize=100,
  RotZ=20,action=draw]
\psImage[unitPicture=30,file=tiger.eps,origine=Cube 0 solidcentreface,normal=Cube 0 solidnormaleface,phi=-90]
\psImage[unitPicture=30,file=tiger.eps,origine=Cube 3 solidcentreface,normal=Cube 3 solidnormaleface]
\psImage[unitPicture=30,file=tiger.eps,origine=Cube 2 solidcentreface,normal=Cube 2 solidnormaleface]
\end{pspicture}

\end{document}

Answer 2

Not sure if this is what you want, but adapting the code provided by Alain Matthes in How to project text onto a plane? is easy to obtain

The code is:

\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\usepackage{mwe}
\usetikzlibrary{3D,calc}

\begin{document}

\begin{tikzpicture}[x={(0.5cm,0.5cm)}, y={(1cm,0cm)}, z={(0cm,1cm)}]
\begin{scope}[canvas is yx plane at z=0]
\node[draw,transform shape] (a) {\includegraphics[width=20em]{example-image.pdf}};
\end{scope}

\foreach \i in {south west, south east, north east, north west}
\draw[dashed] (a.\i) --++(0,0,2) coordinate(b-\i);

\draw (b-south west)--(b-south east)--(b-north east)--(b-north west)--cycle;

\end{tikzpicture}
\end{document}