Before revision: Data dependent triangulations are triangulations of point sets in the plane that are computed under consideration not only of the points' x- and y-coordinates but also of additional data (e.g. , elevation ).
After revision: Reconstructions of sea level prior to the satellite altimeter era are usually derived from tide gauge records; however most algorithms for this assume that modes of sea level variability are stationary which is not true over several decades. Here we suggest a method that is based on optimized data-dependent triangulations of the network of gauge stations. Data-dependent triangulations are triangulations of point sets in the plane that are computed under consideration not only of the points' x- and y-coordinates but also of additional data (e.g. , elevation ).