On Wed, Mar 24, 2010 at 11:56 PM, Adam Mechtley <[email protected]>wrote:
> I'm looking for a good algorithm to compute weighted, multi-way (i.e., more > than 2) quaternion interpolation that won't introduce artifacting (so > something more robust than averaging components and renormalizing). I'm > essentially recreating the functionality of an orient constraint for use > elsewhere. > > I've seen a few options out there, but many of them seem a little > expensive. I figure there are enough math-smart/well-read people here that > someone may at least have some suggestions of worthwhile papers. > We exponentiate a weighted sum of the logarithms of quaternions (after making sure all the quaternions that we're going to blend are in the same hemisphere as the unit quaternion --- which sometimes requires defining a "local" space in which to do the blend). This reduces to Shomake's "Slerp" blend in the 2 quaternion case. Approach described in detail in Michael Patrick Johnson's thesis here: http://alumni.media.mit.edu/~aries/ Marc thanks! > > -- > http://groups.google.com/group/python_inside_maya > > To unsubscribe from this group, send email to python_inside_maya+ > unsubscribegooglegroups.com or reply to this email with the words "REMOVE > ME" as the subject. > -- http://groups.google.com/group/python_inside_maya To unsubscribe from this group, send email to python_inside_maya+unsubscribegooglegroups.com or reply to this email with the words "REMOVE ME" as the subject.
