This intermediate-level tutorial provides an introduction to the
visualization of quaternions and recent developments concerning
quaternion applications to computer graphics and scientific
visualization. We begin by covering the fundamental nature of
quaternions, explaining where they become important in computer
graphics, and describing the basic tools needed to apply them. We
then pursue several recent topics for which quaternions are relevant
and note updated approaches to selected graphics and visualization
People familiar with common mathematical methods of
computer graphics interested in learning more details of quaternion
methods with explicit example applications.
Familiarity with animation and basic mathematics such
as matrices and linear algebra.
Andrew Hanson, Indiana University
Andrew J. Hanson has a BA degree in chemistry and physics and a PhD degree in theoretical physics, and is an Emeritus Professor at the Indiana University School of Informatics and Computing. His research includes machine vision, computer graphics, virtual reality, haptics, and scientific visualization. He is a designer of iPhone multi-touch App interfaces such as "4Dice" that provide interactive experience with the fourth dimension, a developer of quaternion-driven bioinformatics applications, and he is the author of "Visualizing Quaternions," an extensive monograph on quaternions.