# Shape Analysis on Lie Groups with Applications in Computer Animation

arXiv: https://arxiv.org/abs/1506.00783 · HTML: https://mlsanity.com/paper/1506.00783/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 2 Jun 2015.

## Built on by (most cited first, 1 of 1)

- [Deep neural networks on diffeomorphism groups for optimal shape reparameterization](https://mlsanity.com/paper/2207.11141/) (2022)

## Abstract (arXiv)

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.