Before revision:  In this article, we show how data dependent triangulations with min-error criteria can be used to reconstruct a dynamic surface over a longer time period if height values are continuously monitored at a sparse set of stations and, additionally for few epochs or a single one an accurate reference surface is given. The basic idea is to learn an height-optimal triangulation based on the available reference data  and to use the learned triangulation  to compute piece-wise linear surface models for epochs in which only the observations of the monitoring stations are given.
After revision:  In this article, we show how data dependent triangulations with min-error criteria can be used to reconstruct a dynamic surface over a longer time period if height values are continuously monitored at a sparse set of stations and, additionally for few epochs or a single one an accurate reference surface is provided over a shorter time period. At the heart of our method is the idea to learn a min-error triangulation based on the available reference data and to use the learned triangulation to compute piece-wise linear surface models for epochs in which only the observations of the monitoring stations are given.