Shape Analysis on Lie Groups with Applications in Computer Animation
Differential Geometry
2016-09-27 v4 Graphics
Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.1506.00783,
title = {Shape Analysis on Lie Groups with Applications in Computer Animation},
author = {Elena Celledoni and Markus Eslitzbichler and Alexander Schmeding},
journal= {arXiv preprint arXiv:1506.00783},
year = {2016}
}
Comments
37 pages, 7 figures, v4: Major revision, corrected typos, simplified and clarified arguments, main results remain unchanged