NOTE TIME CHANGE: Laplace-Beltrami Spectra for Global Shape Analysis
Speaker: Martin Reuter , Department of Mechanical Engineering, MIT
Date: September 14 2007
Time: 2:30PM to 3:30PM
Location: 32-D507
Host: Polina Golland, CSAIL
Contact: Polina Golland, x38005, polina@csail.mit.edu
Relevant URL: Complex geometric objects have gained much importance in many different
application fields, like medicine, computer aided design or engineering.
Especially technologies to digitize 2D surfaces or 3D volumetric data
(e.g. MRI scanners) opened up a new direction of research: away from the
2D images towards understanding and handling of 3D shapes. It is a basic
question to identify, compare and recognize the shape of 2D surfaces and
3D solid objects.
This talk will give an overview on a new shape fingerprint/signature
(the shape-DNA) that can be used to compare shape in any dimension
invariant of the location and optionally of the size of an object. The
shape-DNA is the (possibly normed) beginning sequence of the spectrum of
the Laplace-Beltrami operator. It has many nice properties, that make it
optimally suited to be used as a signature, eliminating the necessity to
register or align objects for the comparison process.
At the example of two populations of brain parts (caudate nucleus) of
female subjects diagnosed with Schizotypal Personality Disorder and
normal control subjects it will be shown how the shape-DNA can be used
to pickup statistically significant differences not only in size, but
also in shape.
Short-Bio: Dr. Reuter is a Feodor-Lynen Fellow of the Humboldt
Foundation and works as a postdoc at MIT, Department of Mechanical
Engineering since Sept. 2006. He has been awarded a prize for
outstanding scientific accomplishments of the Leibniz University
Hannover where he obtained his Ph.D. in 2005 in the area of shape
recognition from the faculty of electrical engineering and computer
science. Before that he obtained his Diplom (M.Sc.) in mathematics with
a second major in computer science and a minor in business information
technology from the Leibniz University of Hannover in 2001. His research
interests include computational geometry and topology, computer-aided
design, geometric modeling and computer graphics.
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