charles@cs.strath.ac.uk (Charles X. Chen) (03/09/90)
In article <8513@chaph.usc.edu> you write: > > Would anyone out there enlight me what 'quaternion' entails in > the area of computer graphics? Quaternion is a very old mathematic concept. it has been used in computer animation for a while, mainly for doing interpolation calculations. Because each position of an object in the context can be expressed by a quaternion, the interpolation between key-frames reduces to interpolating between associated quaternions, linearly or spherically Charles Charles X. Chen JANET: charles@uk.ac.strath.cs UUNET: ..!uunet!mcvax!ukc!str-cs!charles ARPANET: charles%cs.strath.ac.uk@{ucl-cs.arpa,nsfnet-relay.ac.uk} Tel: (UK) 041 552 4400 Ext 3384 or 3022
doug@xdos.UUCP (Doug Merritt) (03/11/90)
In article <2505@baird.cs.strath.ac.uk> charles@cs.strath.ac.uk writes:
:Because each position of an object in the context can be expressed by
:a quaternion, the interpolation between key-frames reduces to interpolating
:between associated quaternions, linearly or spherically
Know any references regarding harmonic analysis in quaternion space?
Doug
--
Doug Merritt {pyramid,apple}!xdos!doug
Member, Crusaders for a Better Tomorrow Professional Wildeyed Visionary
charles@cs.strath.ac.uk (Charles X. Chen) (03/13/90)
Doug, Here are some references you might be interested in reading: ******************************************************************** Shoemake K. "Quaternion Calculus and fast Animation", Siggraph 87 Course # 10 : "Computer Animation: 3D Motion specification and Control", pp. 101-121 Shoemake K. "Animating Rotation with Quaternion Curves" Computer Graphics, 19(3), pp. 245-254, Proc. Siggraph 85 Pletincks D. "The Use of Quaternions for Animation, Modelling and Rendering" New Trends in Computer Graphics, Proc. CG International '88, Springer-Verlag ISBN 3-540-19328-6 Here are two very old but important ones which I meself would like to find and read: Caley A. "On certain results relating to quaternions" Philosophical Magazine, 26, 141-145, (1845) Hamilton W. R. "On Quaternions: Or on a new system of imaginaries in algebra" Philosophical Magazine, 25, 10-13 (1844) ****************************************************************** Hope this info is helpful. Charles X. Chen -- -- JANET: charles@uk.ac.strath.cs UUNET: ..!uunet!mcvax!ukc!str-cs!charles ARPANET: charles%cs.strath.ac.uk@{ucl-cs.arpa,nsfnet-relay.ac.uk} UUCP: charles%cs.strath.ac.uk@ukc.uucp BITNET: charles%cs.strath.ac.uk@UKACRL Internet: charles%cs.strath.ac.uk@cunyvm.cuny.edu