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53:
Geometric Algebra
Tuesday, Full Day, 8:30 am - 5 pm
Petree Hall C
Geometric
algebra unifies many different and redundant mathematical
systems in current use, and it has wide application in
computer graphics: kinematics and dynamics, simplicial
calculations (polygons, FEM), fluid flow, collision detection,
quaternion splines, elastic deformations, curve and surface
definition, vector fields, etc. In this course, attendees
explore a new, fundamental language for the mathematics
of computer graphics, as well as for modeling and interactive
techniques in general.
Prerequisites
An interest in the mathematical fundamentals of computer
graphics. Familiarity with vector calculus, complex analysis,
homogeneous coordinates, and linear algebra. A reasonable
level of mathematical maturity ensures optimum absorption
of the breadth of topics presented.
Topics
An introduction to geometric algebra. An improved model
for generalized homogeneous space, fast intersection methods
of planes and spheres, new ways to view con-formal maps,
interactive projective geometry, methods for articulated
systems and robotics, shape extraction and motion capture
from scenes, elastic reformations and educational implications.
Organizers
Ambjorn Naeve
Royal Institute of Technology
Alyn Rockwood
Colorado School of Mines
Lecturers
Chris Doran
Joan Lasenby
Cambridge University
Leo Dorst
The Universiteit van Amsterdam
David Hestenes
Arizona State University
Stephen Mann
University of Waterloo
Ambjorn Naeve
Royal Institute of Technology
Alyn Rockwood
Colorado School of Mines |
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