Title :
Minimizing the distortion of affine spline motions
Author :
Hyun, Dae-Eun ; Juttler, Bert ; Kim, Myung-Soo
Author_Institution :
Sch. of Comput. Sci. & Eng., Seoul Nat. Univ., South Korea
Abstract :
The paper proposes a simple approach to the affine motion interpolation problem, where an affine spline motion is generated that interpolates a given sequence of affine keyframes and approximately satisfies rigidity constraints and certain optimization criteria. An affine spline motion is first generated so as to interpolate the given keyframes; after that, it is progressively refined via knot insertion and degree elevation into an optimal affine motion by an iterative optimization procedure
Keywords :
computer animation; interpolation; minimisation; splines (mathematics); affine keyframes; affine motion interpolation problem; affine spline motion distortion minimization; degree elevation; energy optimization; iterative optimization procedure; keyframe animation; keyframes; knot insertion; optimal affine motion; optimization criteria; rigidity constraints; Animation; Computer graphics; Computer science; Constraint optimization; Interpolation; Mathematics; Matrix decomposition; Quaternions; Spline; Symmetric matrices;
Conference_Titel :
Computer Graphics and Applications, 2001. Proceedings. Ninth Pacific Conference on
Conference_Location :
Tokyo
Print_ISBN :
0-7695-1227-5
DOI :
10.1109/PCCGA.2001.962857
