Poisson shape interpolation
Poisson shape interpolation
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DOI：
10.1145/1060244.1060274
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发表时间：
2005-06
期刊：
影响因子：
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通讯作者：
Dong Xu;Hongxin Zhang;Qing Wang;H. Bao
中科院分区：
文献类型：
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作者：
Dong Xu;Hongxin Zhang;Qing Wang;H. Bao
本文提出了一种基于泊松方程的形状插值方法。我们将形状插值的轨迹问题表示为求解定义在域网格上的泊松方程。提出了一种同时考虑顶点坐标和曲面方向的非线性梯度场插值方法。通过适当的边界条件，从插值梯度场隐式地重建中间形状，而传统方法通常直接操纵顶点坐标。除了全局形状插值，我们的方法也适用于局部形状插值，并可以进一步加强与变形。我们的方法可以产生视觉愉悦和物理合理的变形序列与稳定的面积和体积的变化。实验结果表明，该方法可以避免线性形状插值中出现的收缩问题。
In this paper, we propose a novel shape interpolation approach based on Poisson equation. We formulate the trajectory problem of shape interpolation as solving Poisson equations defined on a domain mesh. A non-linear gradient field interpolation method is proposed to take both vertex coordinates and surface orientation into account. With proper boundary conditions, the in-between shapes are reconstructed implicitly from the interpolated gradient fields, while traditional methods usually manipulate vertex coordinates directly. Besides of global shape interpolation, our method is also applicable to local shape interpolation, and can be further enhanced by incorporating with deformation. Our approach can generate visual pleasing and physical plausible morphing sequences with stable area and volume changes. Experimental results demonstrate that our technique can avoid the shrinkage problem appeared in linear shape interpolation.