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

fYear

2001

fDate

2001

Firstpage

50

Lastpage

59

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Graphics and Applications, 2001. Proceedings. Ninth Pacific Conference on

Conference_Location

Tokyo

Print_ISBN

0-7695-1227-5

Type

conf

DOI

10.1109/PCCGA.2001.962857

Filename

962857