We provide a new compact formulation of rigid shape interpolation in terms of normal equations, and propose several enhancements to previous techniques.
Specifically, we propose

1. a way to improve mesh independence, making the interpolation result less influenced by variations in tessellation,
   
2. a faster way to make the interpolation symmetric,
   
3. simple modifications to enable controllable interpolation. Finally we also identify
   
4. a failure mode related to large rotations that is easily triggered in practical use, and we present a solution for this as well.

Animation: Rigid Morphing with large rotations:
For small enough rotations the “as-rigid-as-possible” technique generates high-quality interpolations. However, large rotations can lead to inconsistencies that cause artifacts such as those shown here (right). Our technique yields consistent rotations, resulting in the expected rigid interpolation (left).


[Publication]
William Baxter, Pascal Barla, Ken-ichi Anjyo,"Rigid Shape Interpolation Using Normal Equations", In Proc. NPAR2008, The 6th International Symposium on Non-Photorealistic Animation and Rendering (NPAR 2008, pp.59-64, Annecy, France, June 9-11 2008)

Tags:

• NPAR

Posted by ka on April 18, 2008 10:57 AM | Permalink