Geometric algebra is a new fundamental language for the mathematics of computer graphics, modeling, and interactive techniques. It is especially useful for handling geometric problems, since it allows for intrinsic (coordinate-free) and dimensionally seamless descriptions of geometry. It has generated new insights and improved algorithms in a wide array of computer graphics applications: kinematics and dynamics, simplicial calculations (polygons, FEM), fluid flow, collision detection, hierarchical bounding spheres, boxes, quaternion splines
on spheres, elastic deformations, curve and surface definition, vector fields, etc.
Prerequisites
An active interest in mathematical fundamentals for computer graphics, and related areas. A reasonable level of mathematical maturity ensures maximal absorption of the breadth of topics, but the presentation is also geared for those who want to glean the highlights, even without a full understanding of all the details.
Topics
An introduction to geometric algebra, an improved model for generalized homogeneous space, fast intersection methods of planes
and spheres, new ways to view conformal maps, projective geometry, methods for articulated systems and robotics, shape extraction
and motion capture from scenes, elastic
deformations, and educational implications
and approaches.
Organizer
Alyn Rockwood
Mitsubishi Electric Research Laboratory
Lecturers
Chris Doran
Joan Lasenby
Cambridge University
Leo Dorst
University of Amsterdam
David Hestenes
Arizona State University
Stephen Mann
University of Waterloo
Ambjorn Naeve
Swedish Royal Institute of Technology
Alyn Rockwood
Mitsubishi Electric Research Laboratory
