Text in TikZ with perspective (not just slant)

Question

I want to display text in TikZ that is perspectively distorted, like so:

^{(checkered pattern added for illustration only)}

There are many similar solutions on TeX.SE (here, here, or here), but all of the ones I found are faking perspective merely by using slant and tilt.

The solution should transform the text to:

1. have a horizontal vanishing point to which all usually horizontally parallel lines are noticeably converging
2. have a vertical vanishing point to which all usually vertically parallel lines are converging or keep them strictly parallel (like in my example above)

• Bonus if your solution allows the user to explicitly define the vanishing point.

You may use this as a starting point:

\documentclass[tikz]{standalone}
\begin{document}
\begin{tikzpicture}
\node[draw,align=left] at (0,0) {some text\\maybe with line breaks};
\end{tikzpicture}
\end{document}

Answer 1

This approach divides the word into small triangles and apply slant and tilt to each triangle. This works for projections as well as general nonlinear transformations.

It has appeared before

• Seasonal Challenge (Contributions from TeXing Dead Welcome)
• Draw Text in different shapes
• Geometric inversion of an image (png, jpg, bmp)

---

\documentclass[border=9,tikz]{standalone}
\begin{document}
\fontsize{188pt}{0}\bfseries

\pgfmathdeclarefunction{fxx}{2}{\pgfmathparse{fx(#1+1,#2)-fx(#1,#2)}}
\pgfmathdeclarefunction{fxy}{2}{\pgfmathparse{fy(#1+1,#2)-fy(#1,#2)}}
\pgfmathdeclarefunction{fyx}{2}{\pgfmathparse{fx(#1,#2+1)-fx(#1,#2)}}
\pgfmathdeclarefunction{fyy}{2}{\pgfmathparse{fy(#1,#2+1)-fy(#1,#2)}}

\begin{tikzpicture}
    \pgfmathdeclarefunction{gx}{2}{\pgfmathparse{3*#1-20}}
    \pgfmathdeclarefunction{gy}{2}{\pgfmathparse{3.1622*#2}}
    \pgfmathdeclarefunction{gz}{2}{\pgfmathparse{#1+10}}
    \pgfmathdeclarefunction{fx}{2}{\pgfmathparse{gx(#1,#2)*6/gz(#1,#2)}}
    \pgfmathdeclarefunction{fy}{2}{\pgfmathparse{gy(#1,#2)*6/gz(#1,#2)}}
    \clip(-15,-9)rectangle(15,10);
    \foreach\i in{0,...,40}{
        \foreach\j in{-3,...,3}{
            \pgfmathsetmacro\aa{fxx(\i,\j)}
            \pgfmathsetmacro\ab{fxy(\i,\j)}
            \pgfmathsetmacro\ba{fyx(\i,\j)}
            \pgfmathsetmacro\bb{fyy(\i,\j)}
            \pgfmathsetmacro\xx{fx (\i,\j)}
            \pgfmathsetmacro\yy{fy (\i,\j)}
            \pgflowlevelobj{
                \pgfsettransformentries{\aa}{\ab}{\ba}{\bb}{\xx cm}{\yy cm}
            }{
                \clip(1,0)--(0,0)--(0,1)--cycle;
                \draw(1,0)--(0,0)--(0,1)--cycle;
                \tikzset{shift={(-\i,-\j)}}
                \path(20,.5)node{WORDART};
            }
            \pgfmathsetmacro\aa{fxx(\i  ,\j+1)}
            \pgfmathsetmacro\ab{fxy(\i  ,\j+1)}
            \pgfmathsetmacro\ba{fyx(\i+1,\j  )}
            \pgfmathsetmacro\bb{fyy(\i+1,\j  )}
            \pgfmathsetmacro\xx{fx (\i+1,\j+1)}
            \pgfmathsetmacro\yy{fy (\i+1,\j+1)}
            \pgflowlevelobj{
                \pgfsettransformentries{\aa}{\ab}{\ba}{\bb}{\xx cm}{\yy cm}
            }{
                \clip(0,0)--(-1,0)--(0,-1)--cycle;
                \draw(0,0)--(-1,0)--(0,-1)--cycle;
                \tikzset{shift={(-\i-1,-\j-1)}}
                \path(20,.5)node{WORDART};
            }
        }
    }
\end{tikzpicture}

\end{document}