# MathSciDoc: An Archive for Mathematician ∫

#### Geometric Modeling and Processingmathscidoc:1608.16054

IEEE Transactions on Visualization and Computer Graphics, 14, (3), 693-706 , 2008
This paper presents a skeleton-based method for deforming meshes (the skeleton need not be the medial axis). The significant difference from previous skeleton-based methods is that the latter use the skeleton to control movement of vertices, whereas we use it to control the simplices defining the model. By doing so, errors that occur near joints in other methods can be spread over the whole mesh, via an optimization process, resulting in smooth transitions near joints of the skeleton. By controlling simplices, our method has the additional advantage that no vertex weights need be defined on the bones, which is a tedious requirement in previous skeleton-based methods. Furthermore, by incorporating the translation vector in our optimization, unlike other methods, we do not need to fix an arbitrary vertex, and the deformed mesh moves with the deformed skeleton. Our method can also easily be used to control deformation by moving a few chosen line segments, rather than a skeleton.
Shape deformation, skeleton, simplex transformation, animation
```@inproceedings{han-bing2008﻿shape,
title={﻿Shape Deformation using a Skeleton to Drive Simplex Transformations},
author={Han-Bing Yan, Shi-Min Hu, Ralph R Martin, and Yong-Liang Yang},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160823210248504515417},
booktitle={IEEE Transactions on Visualization and Computer Graphics},
volume={14},
number={3},
pages={693-706 },
year={2008},
}
```
Han-Bing Yan, Shi-Min Hu, Ralph R Martin, and Yong-Liang Yang. ﻿Shape Deformation using a Skeleton to Drive Simplex Transformations. 2008. Vol. 14. In IEEE Transactions on Visualization and Computer Graphics. pp.693-706 . http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160823210248504515417.