Broad Area Colloquium For AI-Geometry-Graphics-Robotics-Vision
Modeling the Illusive Thing Called `Shape': a Mathematician's View
Monday, November 11, 2002, 4:15PM
When I first got involved with natural and computer vision, I
discovered that no existing mathematical theory seems to express well our
perception of two shapes being similar or to yield the features needed to
recognize objects for vision applications. In the last decade, an
interesting approach to deforming shapes was started by Miller and
Grenander, using ideas from fluid mechanics. I want to outline some new
results in this program and raise some problems.
About the Speaker
Professor Mumford received his PhD at Harvard University in 1961. He was a Higgins Professor of
Mathematics with a joint appointment in Engineering and Applied Science at Harvard until 1997.
Since then he has been a professor of Applied Mathematics at Brown University. Prof. Mumford
has done work machine learning and natural intelligence,
in particular the field of vision perception. Hi research focuses on
statistical models for the variables of vision: direct models of the raw images,
the object shapes, and the texture of object surfaces. Prof. Mumford has received numerous
awards, among them the Fields Medal. He is a MacArthur Foundation Fellow and a member of the
National Academy of Sciences.
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