In geodetic deformation analyses, we statistically test geometric changes in two or more states. To use the full potential of well-established surface-based measurement techniques such as terrestrial laser scanning (TLS) requires continuous local and global modeling of the monitored surface. The project on "surface approximation uncertainty" focuses on investigating the interaction between measurement and model uncertainties in the context of surface model selection.

These components are closely connected, as the level of model uncertainty is directly influenced by the interaction between the complexity of the measured object, such as roughness and sharp edges, and the spatial density of measurement points across the object. To address this, the project distinguishes between three sub-topics: TLS uncertainty budget, model uncertainty, and the application of fractal geometry as a methodological tool to achieve the primary project goal.