Fair polyline networks for constrained smoothing of digital terrain elevation data

In this paper, a framework for smoothing gridlike digital terrain elevation data, which achieves a fair shape by means of minimizing an energy functional, is presented. The minimization is performed under the side condition of hard constraints, which comes from available horizontal and vertical accuracy bounds in the standard elevation specification. In this paper, the framework is introduced, and the suitability of this method for the tasks of accuracy-constrained smoothing, feature-preserving smoothing, and filling of data voids is demonstrated