Beschreibung |
Modern measuring methods, such as terrestrial laser scanning techniques or photogrammetric methods, enable the high-precision detection of deformed component surfaces by using a large number of spatial measuring points. This results in the problem of reconstructing the displacement field and the stresses in the interior of the component on the basis of the discrete measured values on the surface. To this end, the project aims to develop multivariate interpolation methods with solutions of partial differential equations (Laplace equation, Lamé-Navier equation). Furthermore, these methods are to be implemented prototypically and evaluated for simple domains. |