Shape Analysis on Lie Groups with Applications in Computer Animation
It provides a new mathematical tool for character animation, but the results are demonstrated only on specific examples without quantitative benchmarks.
The paper develops a shape analysis framework for curves in Lie groups, applying it to computer animation to find cyclic approximations of non-cyclic animations and interpolate between animations.
Shape analysis methods have in the past few years become very popular, both for theoretical exploration as well as from an application point of view. Originally developed for planar curves, these methods have been expanded to higher dimensional curves, surfaces, activities, character motions and many other objects. In this paper, we develop a framework for shape analysis of curves in Lie groups for problems of computer animations. In particular, we will use these methods to find cyclic approximations of non-cyclic character animations and interpolate between existing animations to generate new ones.