A visualization model based on the mathematics of fiber bundles

Abstract

In this paper, a visualization model based on the mathematics of fiber bundles is described. A brief, intuitive description of the mathematics of fiber bundles is given, introducing the concepts using typical application examples and emphasizing aspects relevant to our visualization model. Three important classes of operations on fiber bundles are described. A flexible scheme is developed for constructing graphic representations of fiber bundles and a simple but useful visualization taxonomy.