Graphics Gems V (IBM Version)

II.4

Rotations for N-Dimensional Graphics

J. Hanson Andrew,     Computer Science Department Indiana University Bloomington, Indiana. E-mail address: [e-mail]

Introduction

A previous gem ¹ (Hanson 1994) described a family of techniques for dealing with the geometry of N-dimensional models in the context of graphics applications. Here, that framework is used to examine rotations in N-dimensional Euclidean space in greater detail. In particular, a natural N-dimensional extension is created both for the 3D rolling ball technique described in an earlier gem (Hanson 1992) and for its analogous virtual sphere method (Chen et al. 1988). This work also addresses practical methods for specifying and understanding the parameters of N-dimensional ...