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Non-uniform Differential Mesh Deformation

机译:非均匀差分网格变形

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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,我们通过不均匀地操纵差异性能提出了一种新的网格变形方法。通过用户指定的材料属性引导,我们的方法可以以非均匀方式使表面网格变形,同时以前的变形技术主要设计成均匀材料。通过材料依赖性梯度场操纵和基于泊松的重建来实现不均匀的变形。与以往的材料令人沮丧的变形技术相比,我们的方法提供了对变形过程的更精细的控制,可以产生更现实的结果。我们提出了一种新颖的细节表示,其将连续表面级别之间的几何细节转变为二面角和重心坐标的组合。此详细信息表示是相似性 - 不变,并与材质属性完全兼容。基于这两种方法,我们实现了一种多分辨率变形工具,其允许用户以物质感知方式在层次结构内编辑网格。我们通过现实世界数据的几个例子展示了我们方法的有效性和稳健性。

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