Florian Wetzels

"Utilizing Edit Distances on Topological Structures in Scientific Visualization and Beyond"

In Scientific Visualization, complex scalar fields are often visualized using abstract representations of the topology of their level sets, namely contour trees or merge trees. We present distance measures for scalar fields that are based on edit distances between these structures and utilize them to visualize the topology of an ensemble of multiple scalar field in a single representative. Furthermore, we apply our topological approach to the field of complexomics in Computational Biology, where gel electrophoresis data can be interpreted as ensembles of 1-dimensional scalar fields. These can be compared using edit distances of the corresponding topological representations. In this talk, I will give you an overview over our results in both topics.

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