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Partial intrinsic reflectional symmetry of 3D shapes

机译:3D形状的部分内在反射对称

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While many 3D objects exhibit various forms of global symmetries, prominent intrinsic symmetries which exist only on parts of an object are also well recognized. Such partial symmetries are often seen as more natural than a global one, even when the symmetric parts are under complex pose. We introduce an algorithm to extract partial intrinsic reflectional symmetries (PIRS) of a 3D shape. Given a closed 2-manifold mesh, we develop a voting scheme to obtain an intrinsic reflectional symmetry axis (IRSA) transform, which is a scalar field over the mesh that accentuates prominent IRSAs of the shape. We then extract a set of explicit IRSA curves on the shape based on a refined measure of local reflectional symmetry support along a curve. The iterative refinement procedure combines IRSA-induced region growing and region-constrained symmetry support refinement to improve accuracy and address potential issues arising from rotational symmetries in the shape. We show how the extracted IRSA curvescan be incorporated into a conventional mesh segmentation scheme so that the implied symmetry cues can be utilized to obtain more meaningful results. We also demonstrate the use of IRSA curves for symmetry-driven part repair.
机译:虽然许多3D对象表现出各种形式的全局对称,但仅存在于物体部分的突出的内在对称也得到很好的认可。即使当对称部件在复杂的姿势下,这种局部对称性通常被视为比全球更自然的。我们介绍一种提取3D形状的部分内在反射对称(PIR)的算法。给定闭合的2 - 歧管网格,我们开发了一种投票方案,以获得内在的反射对称轴(IRSA)变换,这是窗体上的标量字段,其突出了形状的突出IRSA。然后,我们基于沿曲线的局部反射对称支持的精细度量提取一组明细的IRSA曲线。迭代细化程序将IRSA诱导的区域生长和区域受约束的对称支持细化结合以提高从形状旋转对称产生的精度和解决潜在问题。我们展示提取的IRSA Curvescan如何结合到传统网格分段方案中,使得可以利用隐含的对称性提示来获得更有意义的结果。我们还证明了使用IRSA曲线进行对称驱动部件修复。

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