Hierarchical Concepts for Improved Interfaces between Modelling, Simulation, and Visualization

Appropriate and eecient representations of domains, objects, and scenes are an important issue in the elds of geometric modelling , numerical simulation, and visualiza-tion. Though various techniques have been developed and are successfully used as single-purpose solutions, there is still some lack of comprehensive approaches that allow to base modelling, simulation, and visualization on the same representation of the underlying geometry or that ooer, at least, eecient interfaces between the diierent descriptions. In this paper, we want to discuss how hierarchical schemes can close this gap and, thus, allow a straightforward embedding of numerical simulations into a more general context.