@conference {781, title = {Hierarchical Correlation Clustering in Multiple 2D Scalar Fields}, booktitle = {EuroVis 2018, 20th EG/VGTC Conference on Visualization}, year = {2018}, month = {07/2018}, publisher = {Computer Graphics Forum}, organization = {Computer Graphics Forum}, abstract = {Sets of multiple scalar fields can be used to model many types of variation in data, such as uncertainty in measurements and simulations or time-dependent behavior of scalar quantities. Many structural properties of such fields can be explained by dependencies between different points in the scalar field. Although these dependencies can be of arbitrary complexity, correlation, i.e., the linear dependency, already provides significant structural information. Existing methods for correlation analysis are usually limited to positive correlation, handle only local dependencies, or use combinatorial approximations to this continuous problem. We present a new approach for computing and visualizing correlated regions in sets of 2-dimensional scalar fields. This paper describes the following three main contributions: (i) An algorithm for hierarchical correlation clustering resulting in a dendrogram, (ii) a generalization of topological landscapes for dendrogram visualization, and (iii) a new method for incorporating negative correlation values in the clustering and visualization. All steps are designed to preserve the special properties of correlation coefficients. The results are visualized in two linked views, one showing the cluster hierarchy as 2D landscape and the other providing a spatial context in the scalar field{\textquoteright}s domain. Different coloring and texturing schemes coupled with interactive selection support an exploratory data analysis.}, doi = {https://doi.org/10.1111/cgf.13396}, url = {https://onlinelibrary.wiley.com/doi/full/10.1111/cgf.13396}, author = {Tom Liebmann and Gunther H. Weber and Gerik Scheuermann} } @inbook {630, title = {A Topology-Based Approach to Visualize the Thematic Composition of Document Collections}, booktitle = {Text Mining}, series = {Theory and Applications of Natural Language Processing}, year = {2014}, pages = {63-85}, publisher = {Springer International Publishing}, organization = {Springer International Publishing}, isbn = {978-3-319-12654-8}, doi = {10.1007/978-3-319-12655-5_4}, author = {Patrick Oesterling and Christian Heine and Gunther H. Weber and Gerik Scheuermann}, editor = {Biemann, Chris and Mehler, Alexander} } @conference {631, title = {Topology-based Visualization and Analysis of High-dimensional Data and Time-varying Data at the Extreme Scale}, booktitle = {DOE Exascale Research Conference}, year = {2012}, month = {April}, address = {Portland, OR}, author = {Gunther H. Weber and Dmitriy Morozov and Kenes Beketayev and John Bell and Peer-Timo Bremer and Marc Day and Bernd Hamann and Christian Heine and Maciej Haranczyk and Mario Hlawitschka and Valerio Pascucci and Patrick Oesterling and Gerik Scheuermann} }