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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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