Let's say I have a time series in a vector $v$, and I compute its recurrence(-like) plot $R(i,j)=\left \| v(i)-v(j) \right \|$.
Is there any standard way of extracting $v$ knowing only $R(i,j)$ ??
See wikipedia page https://en.wikipedia.org/wiki/Recurrence_plot for examples of what I mean. In the main figure there are four examples of 1D signals converted to recurrence plot.