A Continuous Clustering Method for Vector Fields

TitleA Continuous Clustering Method for Vector Fields
Publication TypeConference Paper
Year of Publication2000
AuthorsGarcke, H., T. Preu├čer, M. Rumpf, A. Telea, U. Weikard, J. van Wijk, T. Ertl, B. Hamann, and A. Varshney
Conference NameProceedings Visualization 2000
PublisherIEEE Computer Society Technical Committee on Computer Graphics
AbstractA new method for the simplification of flow fields is presented. It is based on continuous clustering. A well-know physical clustering model, the Cahn Hillard model which describes phase separation, is modified to reflect the properties of the data to be visualized. Clusters are defined implicitly as connected components of the positivity set of a density function. An evaluation equation for this function is obtained as a suitable gradient flow of an underlying anisotropic energy functional. Here, time serves as the scale parameter. The evolution is characterized by a successive coarsening of patterns - the actual clustering - and meanwhile the underlying simulation data specifies preferable pattern boundaries. Here we discuss the applicability of this new type of approach mainly for flow fields, where the cluster energy penalizes cross streamline boundaries, but the method also carries provisions in other fields as well. The clusters are visualized via iconic representations. A skeletonization algorithm is used to find suitable positions for the icons.