Hamish Carr received the PhD degree at the University of British Columbia in May 2004 and has worked as a lecturer at the University College of Dublin and is currently a senior lecturer at the University of Leeds. His research interests include scientific and medical visualization, computational geometry and topology, computer graphics and geometric applications.
AG 1, AG 3, AG 4, RG1, MMCI, AG 2, INET, AG 5, SWS
As scientific data sets increase in size and complexity, scientific visualization increasingly depends on formal analysis of the data. One of the most successful forms of analysis uses computational topology to analyse properties such as minima, maxima, thresholds, ridges and flow. Topological analyses have been developed for scalar fields, for vector fields, and more recently, for multi-variate and tensor fields. I will survey these approaches, with particular attention to recent developments that generalise topological analysis of scalar data to topological analysis of multivariate data based on fiber topology.