Most existing 3D geometry copy detection research focused on 3D watermarking, which first embeds ``watermarks'' and then detects the added watermarks. However, this kind of methods is non-straightforward and may be less robust to attacks such as cropping and noise. In this paper, we focus on a fundamental and practical research problem: judging whether a point cloud is plagiarized or copied to another point cloud in the presence of several manipulations (e.g., similarity transformation, smoothing). We propose a novel method to address this critical problem. Our key idea is first to align the two point clouds and then calculate their similarity distance. We design three different measures to compute the similarity. We also introduce two strategies to speed up our method. Comprehensive experiments and comparisons demonstrate the effectiveness and robustness of our method in estimating the similarity of two given 3D point clouds.

翻译：多数现有的三维几何学样探测研究侧重于3D水标记,首先嵌入“水印”,然后检测增加的水印。 但是,这种方法不是直向的,对作物和噪音等攻击可能不那么强大。 在本文中,我们侧重于一个基本和实际的研究问题:判断点云是否在多部操作(例如相似度转换、平滑)中被固定或复制到另一个点云中。我们提出了解决这一关键问题的新颖方法。我们的主要想法是首先对两点云进行对齐,然后计算其相似距离。我们设计了三种不同的计算方法来计算相似性。我们还引入了两种战略来加快我们的方法。全面实验和比较表明我们计算两个给定的三维点云相似性的方法的有效性和稳健性。