iSlerp: An Incremental Approach to Slerp

Xin Li
Digipen Institute of Technology

This paper appears in issue Volume 12, Number 3.
Purchase this issue from the akpeters.com web site.

Abstract

In this paper, an incremental quaternion-interpolation algorithm is introduced. With the assumption of a constant interval between a pair of quaternions, the cost of the interpolation algorithm is significantly reduced. Expensive trigonometric calculations in Slerp are replaced with simple linear-combination arithmetic. The round-off errors and drifting behavior accumulated through incremental steps are also analyzed.

Author Information

Xin Li, Computer Science Department, 5001 150th Avenue NE, Redmond, WA 98052 xli@digipen.edu

BibTeX Entry

@article{Li07,
  author = "Xin Li",
  title = "iSlerp: An Incremental Approach to Slerp",
  journal = "journal of graphics tools",
  volume = "12",
  number = "3",
  pages = "1-6",
  year = "2007",
}