Computer Science Colloquium

Computational Symmetry

Prof. Yanxi Liu
Carnegie Mellon University

Friday, October 6, 2006, 2006 11:30 A.M.
Room 1302 Warren Weaver Hall
251 Mercer Street
New York, NY 10012-1185

Directions: http://cs.nyu.edu/csweb/Location/directions.html
Colloquium Information: http://cs.nyu.edu/csweb/Calendar/colloquium/index.html

Hosts:

Chris Breglera href="mailto:bregler@cs.nyu.edu">bregler@cs.nyu.edu, (212) 998-3208

Abstract

Computational Symmetry Abstract Symmetry is an essential mathematical concept, as well as a ubiquitous, observable phenomenon in nature, science and art. Either by evolution or by design, symmetry implies a potential structural efficiency gain that makes it universally appealing. Much of our understanding and appreciation of the world is based on the perception and recognition of shared or repeated patterns, and so is our sense of beauty and style. Recognition and categorization of symmetry and symmetry groups is the first step towards capturing the essential skeleton of a problem, while at the same time minimizing computational redundancy. Our research in the realm of "Computational Symmetry" explores the use of symmetry and symmetry groups in a wide range of applications in computer vision, computer graphics, robotics and medical image analysis, including texture analysis, synthesis and manipulation, human gait recognition, human identification, expression classification, robotics assembly planning, computer aided diagnosis of degenerative neurological disorders from structural MR images, and quantification of the firing fields of grid cells in rat brains. The central theme of this talk exposes a rapidly emerging research area, and the promise and perils of making the idea of symmetry and group theory computationally feasible for real world problems.

Refreshments will be served


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