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Non-uniform Differential Mesh Deformation

机译:非均匀微分网格变形

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摘要

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.
机译:在本文中,我们提出了一种通过非均匀地操纵微分特性的新型网格变形方法。在用户指定的材料属性的指导下,我们的方法可以使曲面网格以非均匀方式变形,而以前的变形技术主要是针对均匀材料而设计的。通过材料相关的梯度场操纵和基于泊松的重构,可以实现非均匀变形。与以前的材料可忽略不计的变形技术相比,我们的方法对变形过程提供了更好的控制,并且可以生成更真实的结果。我们提出了一种新颖的细节表示形式,该特征表示形式可以将二面角和重心坐标的组合转换成连续的表面级别之间的几何细节。这种细节表示是相似不变的,并且与材料特性完全兼容。基于这两种方法,我们实现了一个多分辨率变形工具,该工具允许用户以材质感知的方式在层次结构内编辑网格。我们通过使用真实数据的几个示例来证明我们的方法的有效性和鲁棒性。

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