Mesh editing with poisson-based gradient field manipulation

Mesh editing with poisson-based gradient field manipulation
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DOI:
10.1145/1015706.1015774
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发表时间:
2004-08
期刊:
ACM Transactions on Graphics (TOG)
影响因子:
--
通讯作者:
Yizhou Yu;Kun Zhou;Dong Xu;Xiaohan Shi;H. Bao;B. Guo;H. Shum
Yizhou Yu;Kun Zhou;Dong Xu;Xiaohan Shi;H. Bao;B. Guo;H. Shum
中科院分区:
其他
文献类型:
--
作者:
Yizhou Yu;Kun Zhou;Dong Xu;Xiaohan Shi;H. Bao;B. Guo;H. Shum

文献摘要

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在本文中,我们介绍了一种新颖的方法来用泊松方程作为理论基础进行网状编辑。这种方法最独特的特征是它通过梯度场操作隐含地修饰原始网格几何形状。我们的方法可以为全球和本地编辑操作(例如变形,对象合并和平滑)产生理想且令人愉悦的结果。在一些新颖的交互式工具的帮助下,可以通过少量的用户互动来方便地执行这些操作。我们的技术具有三个关键组件,这是一个基于泊松方程的基本网格求解器,使用局部变换的梯度场操作方案以及基于本地框架的广义边界条件表示。实验结果表明,我们的框架可以胜过以前相关的网格编辑技术。
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.