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26. Visualizing Quaternions

Tutorial, Monday, 1 August, 3:45 - 5:30 pm
Room 511AB
Level: Advanced

This tutorial exposes the fundamental features of quaternions as they apply to all fields of computer graphics and visualization by using visual representations of quaternions themselves to provide intuition and insight.


Attendees should be comfortable with and have an appreciation for conventional mathematical methods of 3D computer graphics and geometry used in geometric transformations and polygon rendering. The course will be of most interest to people who wish to deepen their intuitive understanding of moving coordinate frames and quaternion-based animation techniques.

Intended Audience

Students, scientists, and practitioners whose work and/or interests involve 3D orientation frames.


Andrew J. Hanson
Indiana University


3:45 Twisting Belts, Rolling Balls, and Locking Gimbals: Explaining Rotation Sequences With Quaternions
4:30 Quaternion Fields: Curves, Surfaces, and Volumes