**Special colloquium -- note the time and place
Joint Contour Nets: Theory & Applications
Thursday, October 11, 2012 - 2:00pm - 2:50pm
KEC 1007
Dr. Hamish Carr
Senior Lecturer
University of Leeds
Speaker Biography:
Hamish Carr completed his PhD at the University of British Columbia in May 2004 and has worked as a lecturer at University College Dublin and 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
Abstract:
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. To date,
however, these methods have been applied to univariate (scalar) fields and to
vector fields, but not to the more general case of multivariate fields.
In particular, Contour Trees and Reeb Graphs are often used for analysing
univariate (scalar) fields. We generalize this analysis to multivariate fields
with a data structure called the Joint Contour Net that quantizes the variation
of multiple variables simultaneously. We report the first algorithm for
constructing the Joint Contour Net, and demonstrate some of its fundamental
properties. Based on this, we also show some preliminary results on its use for
visualization by applying it to a problem from nuclear fission analysis, in
which the topological insight provided aided scientists in understanding a
physical phenomenon.
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