Yizhou Yu^[1]  Kun Zhou^[2]  Dong Xu^[2][3]  Xiaohan Shi^[2][3]  Hujun Bao^[3]  Baining Guo^[2]  Heung-Yeung Shum^[2]

^[1] University of Illinois at Urbana-Champaign  ^[2] Microsoft Research Asia  ^[3] Zhejiang University CAD&CG Lab.

Abstract

In this paper, we introduce a novel approach to mesh editing with the Poisson equation as the theoretical foundation. The most distinctive feature of this approach is that it modifies the original mesh geometry implicitly through gradient field manipulation. Our approach can produce desirable and pleasing results for both global and local editing operations, such as deformation, object merging, and smoothing. With the help from a few novel interactive tools, these operations can be performed conveniently with a small amount of user interaction. Our technique has three key components, a basic mesh solver based on the Poisson equation, a gradient field manipulation scheme using local transforms, and a generalized boundary condition representation based on local frames. Experimental results indicate that our framework can outperform previous related mesh editing techniques. 

http://www.cad.zju.edu.cn/home/xudong/Pub/poisson_tog04.pdf
http://www.cad.zju.edu.cn/home/xudong/Pub/PoissonMesh-tr.pdf