5: Visualizing Quaternions
Sunday, Tutorial, 10 am - noon
intuitive connection between quaternion lore and many
standard problems in representation, interpolation, and
exploitation of orientation frames in graphics and visualization.
The tutorial presents a range of visualization methods,
including images of individual quaternion rotations, the
action of rotations in quaternion space, and visual properties
of quaternion splines and related animation optimization
procedures. It also examines natural applications of quaternions
beyond animation splines, such as the study of quaternion
frames attached to curves and surfaces.
Comfort with and appreciation for conventional mathematical
methods of 3D computer graphics and geometry used in geometric
transformations and polygon rendering.
Basic methods of orientation frames and orientation interpolation,
novel quaternion visualizations that provide alternative
intuitions, advanced applications of these quaternion
techniques to coordinate frames and animation splines,
and interactive visualization tools for quaternion curves
relevant to proper construction and understanding of coordinate