Abstract Reflection symmetry is a very commonly occurring feature in both natural and man-made objects, which helps in understanding objects better and makes them visually pleasing. Detection of reflection symmetry is a fundamental problem in the field of computer vision and computer graphics which aids in understanding and representing reflective symmetric objects. In this work, we attempt the problem of detecting the 3D global reflection symmetry of a 3D object represented as a point cloud. The main challenge is to handle outliers, missing parts, and perturbations from the perfect reflection symmetry. We propose a descriptor-free approach, in which, we pose the problem of reflection symmetry detection as an optimization problem and provide a closed-form solution. We show that the proposed method achieves state-of-the-art performance on the standard dataset.

中文翻译：

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3DSymm：强大而准确的 3D 反射对称检测

摘要 反射对称是自然和人造物体中非常常见的特征，它有助于更​​好地理解物体并使它们在视觉上令人愉悦。反射对称性的检测是计算机视觉和计算机图形学领域的一个基本问题，它有助于理解和表示反射对称对象。在这项工作中，我们尝试检测表示为点云的 3D 对象的 3D 全局反射对称性的问题。主要挑战是处理来自完美反射对称的异常值、缺失部分和扰动。我们提出了一种无描述符方法，其中，我们将反射对称检测问题作为优化问题提出，并提供了一个封闭形式的解决方案。