  A novel boundary integral approach for the recovery of overhanging (or not)
rotational (or not) water waves from pressure measurements at the bottom is
presented. The method is based on the Cauchy integral formula and on an
Eulerian--Lagrangian formalism to accommodate overturning free surfaces. This
approach eliminates the need to introduce {\em a priori} a special basis of
functions, providing thus a general means of fitting the pressure data and,
consequently, recovering the free surface. The effectiveness and accuracy of
the method are demonstrated through numerical examples.
