Skip to Main Content
Visualizing Quaternions
book

Visualizing Quaternions

by Andrew J. Hanson
February 2006
Intermediate to advanced content levelIntermediate to advanced
600 pages
8h 57m
English
Elsevier Science
Content preview from Visualizing Quaternions

Chapter 10. Visualizing Interpolation Methods

In this chapter we complete our set of fundamental visualization methods by studying interpolation in the context of spheres, and eventually in the context of quaternion points. The interpolation from one quaternion to another has profound analogies with standard polynomial interpolation methods in Euclidean space. We will see that geodesic curves on spheres provide the starting point for a rich family of interpolation methods and their graphical depiction.

Basics of Interpolation

We will begin with the most fundamental object—the interpolation that creates a great circle on a sphere of any dimension. This interpolation is in fact slightly nontrivial to derive even for S1. The derivation we present is ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Advanced Mathematics

Advanced Mathematics

Stanley J. Farlow
Geometry for Programmers

Geometry for Programmers

Oleksandr Kaleniuk
Geometric Algebra for Computer Science

Geometric Algebra for Computer Science

Leo Dorst, Daniel Fontijne, Stephen Mann

Publisher Resources

ISBN: 9780120884001