Article | The Annual SIGRAD Conference. Special Theme - Environmental Visualization | Incremental Spherical Linear Interpolation

Title:
Incremental Spherical Linear Interpolation
Author:
Tony Barrera: Barrera Kristiansen AB Anders Hast: Creative Media Lab, University of Gävle, Sweden Ewert Bengtsson: Centre for Image Analysis, Uppsala University, Sweden
Download:
Full text (pdf)
Year:
2004
Conference:
The Annual SIGRAD Conference. Special Theme - Environmental Visualization
Issue:
013
Article no.:
004
Pages:
7-10
No. of pages:
4
Publication type:
Abstract and Fulltext
Published:
2004-11-24
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


Animation is often done by setting up a sequence of key orientations; represented by quaternions. The in between orientations are obtained by spherical linear interpolation (SLERP) of the quaternions; which then can be used to rotate the objects. However; SLERP involves the computation of trigonometric functions; which are computationally expensive. Since it is often required that the angle between each quaternion should be the same; we propose that incremental SLERP is used instead. In this paper we demonstrate five different methods for incremental SLERP; whereof one is new; and their pros and cons are discussed.

The Annual SIGRAD Conference. Special Theme - Environmental Visualization

Author:
Tony Barrera, Anders Hast, Ewert Bengtsson
Title:
Incremental Spherical Linear Interpolation
References:

T. BARRERA; A. HAST; E. BENGTSSON 2004. Faster shading by equal angle interpolation of vectors IEEE Transactions on Visualization and Computer Graphics; pp. 217-223.


R. L. BURDEN; J. D. FAIRES 2001. Numerical Analysis Brooks/Cole; Thomson Learning; pp. 507-516.


C. F. GERALD; P. O. WHEATLEY 1994. Applied Numerical Analysis; 5:th ed. Addison Wesley; pp. 400-403.


A. GLASSNER 1999. Situation Normal Andrew Glassner’s Notebook- Recreational Computer Graphics; Morgan Kaufmann Publishers; pp. 87-97.


A. HAST; T. BARRERA; E. BENGTSSON 2003. Shading by Spherical Linear Interpolation using DeMoivre’s Formula WSCG’03; Short Paper; pp. 57-60.


J. B. KUIPERS 1999. Quaternions and rotation Sequences - A Primer with Applications to Orbits; Aerospace; and Virtual Reality Princeton University Press; pp. 54-57; 162;163.


J. E. MARSDEN; M. J. HOFFMAN 1996. Basic Complex Analysis W. H. Freeman and Company; pp. 17.


W. K. NICHOLSON 1995. Linear Algebra with Applications PWS Publishing Company; pp. 275;276.


R. PARENT 2002. Computer Animation - Algorithms and Techniques Academic Press; pp. 97;98.


J. SHANKEL 2000. Interpolating Quaternions Game Programming Gems. Edited byM. DeLoura. Charles RiverMedia; pp. 205-213


K. SHOEMAKE 1985. Animating rotation with quaternion curves ACM SIGGRAPH; pp. 245-254.


G. F. SIMMONS 1991. Differential Equations with Applications and Historical Notes; 2:nd ed. MacGraw Hill; pp. 64;65.


J. SVAROVSKY 2000. Quaternions for Game Programming Game Programming Gems. Edited by M. DeLoura. Charles River Media; pp. 195-299.


A. WATT; M. WATT 1992. Advanced Animation and Rendering Techniques - Theory and Practice Addison Wesley; pp. 363.

The Annual SIGRAD Conference. Special Theme - Environmental Visualization

Author:
Tony Barrera, Anders Hast, Ewert Bengtsson
Title:
Incremental Spherical Linear Interpolation
Note: the following are taken directly from CrossRef
Citations:
No citations available at the moment