Single Cluster Visualization to Optimize Air Traffic Management

Abstract

In this paper we present a visualization technique to visualize single clusters of high-dimensional data. Our method maps a single cluster to the plane trying to preserve the relative distances of feature vectors to the corresponding prototype vector. Thus, fuzzy clustering results representing relative distances in the form of a partition matrix as well as hard clustering partitions can be visualized with this technique. The resulting two-dimensional scatter plot illustrates the compactness of a certain cluster and the need of additional prototypes as well. In this work, we will demonstrate the visualization method on some benchmark data sets and on a practical application.