Non-uniform Differential Mesh Deformation

Dong Xu, Hongxin Zhang, Hujun Bao

State Key Lab. of CAD&CG, Zhejiang University

Abstract

In this paper, we propose a novel mesh deformation approach via manipulating differential properties non-uniformly. Guided by user-specified material properties, our method can deform the surface mesh in a non-uniform way while previous deformation techniques are mainly designed for uniform materials. The non-uniform deformation is achieved by material-dependent gradient field manipulation and Poisson-based reconstruction. Comparing with previous material-oblivious deformation techniques, our method supplies finer control of the deformation process and can generate more realistic results. We propose a novel detail representation that transforms geometric details between successive surface levels as a combination of dihedral angles and barycentric coordinates. This detail representation is similarity-invariant and fully compatible with material properties. Based on these two methods, we implement a multiresolution deformation tool, which allows the user to edit a mesh inside a hierarchy in a material-aware manner. We demonstrate the effectiveness and robustness of our methods by several examples with real-world data.

Keywords: Mesh Deformation, Gradient Field Manipulation, Detail Representation, Non-uniform Control

Publications

Dong Xu, Hongxin Zhang, Hujun Bao. Non-uniform Differential Mesh Deformation. Lecture Notes in Computer Science (Special Issue for Computer Graphics International 2006), 2006. [PPT]

Acknowledgements

This work is supported in part by the National Basic 973 Program of China (Grant No. 2002CB312102) and the National Natural Science Foundation of China (Grant Nos. 60021201 and 60505001).

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