Vector field based shape deformations
Vector field based shape deformations
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DOI：
10.1145/1179352.1142002
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发表时间：
2006-07
期刊：
影响因子：
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通讯作者：
Wolfram von Funck;H. Theisel;H. Seidel
中科院分区：
文献类型：
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作者：
Wolfram von Funck;H. Theisel;H. Seidel
我们提出了一种通过构造和交互修改C1连续无散度矢量场来定义形状变形的方法。变形是通过网格顶点的路径线积分得到的。这样，变形是体积保持的，没有（局部和全局）自交，特征保持，平滑保持和局部。不同的建模隐喻支持该方法，该方法能够根据用户输入实时修改向量场。该方法适用于中等网格尺寸的交互帧率，并且数值积分保留了高精度的体积。
We present an approach to define shape deformations by constructing and interactively modifying C1 continuous time-dependent divergence-free vector fields. The deformation is obtained by a path line integration of the mesh vertices. This way, the deformation is volume-preserving, free of (local and global) self-intersections, feature preserving, smoothness preserving, and local. Different modeling metaphors support the approach which is able to modify the vector field on-the-fly according to the user input. The approach works at interactive frame rates for moderate mesh sizes, and the numerical integration preserves the volume with a high accuracy.