Enabling insight into large and complex datasets is a prevalent theme in current visualization research for which different approaches are pursued. Topology-based methods are built on the idea of abstracting characteristic structures such as the topological skeleton from the data and to construct the visualization accordingly. Even though the roots of related research date back to the late 1980’s and thereafter, there are currently new demands for and renewed interest in topology-based visualization solutions. Practitioners see the potential for highly efficient and meaningful visualization techniques which communicate a lot more (information, sematics) than just data.