Hege H.-C., Polthier K., Scheuermann G. (eds.) Topology-Based Methods in Visualization II

Spreinger, 2008. — 194 p. — (Mathematics and Visualization). — ISBN 978-3-540-88605-1.Visualization research aims to provide insight into large, complicated data sets and the phenomena behind them. While there are different methods of reaching this goal, topological methods stand out for their solid mathematical foundation, which guides the algorithmic analysis and its presentation.
Topology-based methods in visualization have been around since the beginning of visualization as a scientific discipline, but they initially played only a minor role. In recent years, interest in topology-based visualization has grown and significant innovation has led to new concepts and successful applications. The latest trends adapt basic topological concepts to precisely express user interests in topological properties of the data.Visualization of Coherent Structures in Transient 2D Flows
Visualizing Lagrangian Coherent Structures and Comparison to Vector Field Topology
Extraction of Separation Manifolds using Topological Structures in Flow Cross Sections
Topology Based Selection and Curation of Level Sets
Representing Interpolant Topology for Contour Tree Computation
Path Line Attributes - an Information Visualization Approach to Analyzing the Dynamic Behavior of 3D Time-Dependent Flow Fields
Flow Structure based 3D Streamline Placement
Critical Points of the Electric Field from a Collection of Point Charges
Visualizing global manifolds during the transition to chaos in the Lorenz system
Streamline and Vortex Line Analysis of the Vortex Breakdown in a Confined Cylinder Flow
Flow Topology Beyond Skeletons: Visualization of Features in Recirculating Flow
Bringing Topology-Based Flow Visualization to the Application Domain
Computing Center-Lines: An Application of Vector Field Topology