Aims and Scope

Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the extension of concepts to time-dependent data, the representation of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc.

While we see an increasing number of high-quality publications in this field, many fundamental questions remain unsolved. New focused efforts are needed in a variety of research areas such as the theoretical foundations of topological models, the representation power of topology-based models, the  computational efficiency of algorithms, user interfaces for presentation of quantitative topological information, and the development of new techniques for systematic mapping of science problems in topological constructs that can be solved computationally. 

In this forum we will bring together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. It is also a goal of the workshop to bring young researchers in contact with an exciting research field, its theory and applications, and its community. At the workshop we will discuss topics which include:

• scalar/vector/tensor field topology
• theoretical models
• combinatorial methods and robustness
• multi-scale representation models
• higher-order topological methods
• time-dependent methods
• Lagrangian methods
• feature extraction
• coherent structures
• error bounds
• topology simplification
• topological similarity and correlation
• user interfaces and visualization
• domain specific interpretation of topological constructs and results
• efficiency of topological algorithms