Thursday, October 11, 2012 - 2:00pm - 2:50pm
ALS 4001
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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