论文标题
等距多形匹配
Isometric Multi-Shape Matching
论文作者
论文摘要
查找形状之间的对应关系是计算机视觉和图形中的一个基本问题，这与许多应用程序有关，包括3D重建，对象跟踪和样式传输。绝大多数对应方法旨在在形状对之间找到解决方案，即使可以使用同一类的多个实例。尽管通常在形状对应问题中研究异构体，但在多匹配设置中尚未明确考虑它们。本文通过提出用于等距多形匹配的新型优化公式来缩小这一差距。我们提出了一种合适的优化算法，用于解决我们的配方并提供收敛性和复杂性分析。我们的算法获得了通过施工可循环一致的多匹配。我们在各种数据集上演示了我们的方法的出色性能，并在等距多形匹配中设置了新的最新技术。
Finding correspondences between shapes is a fundamental problem in computer vision and graphics, which is relevant for many applications, including 3D reconstruction, object tracking, and style transfer. The vast majority of correspondence methods aim to find a solution between pairs of shapes, even if multiple instances of the same class are available. While isometries are often studied in shape correspondence problems, they have not been considered explicitly in the multi-matching setting. This paper closes this gap by proposing a novel optimisation formulation for isometric multi-shape matching. We present a suitable optimisation algorithm for solving our formulation and provide a convergence and complexity analysis. Our algorithm obtains multi-matchings that are by construction provably cycle-consistent. We demonstrate the superior performance of our method on various datasets and set the new state-of-the-art in isometric multi-shape matching.
