We present a robust method to find region-level correspondences between
shapes, which are invariant to changes in geometry and applicable across
multiple shape representations. We generate simplified shape graphs by jointly
decomposing the shapes, and devise an adapted graph-matching technique, from
which we infer correspondences between shape regions. The simplified shape
graphs are designed to primarily capture the overall structure of the shapes,
without reflecting precise information about the geometry of each region, which
enables us to find correspondences between shapes that might have significant
geometric differences. Moreover, due to the special care we take to ensure the
robustness of each part of our pipeline, our method can find correspondences
between shapes with different representations, such as triangular meshes and
point clouds. We demonstrate that the region-wise matching that we obtain can
be used to find correspondences between feature points, reveal the intrinsic
self-similarities of each shape, and even construct point-to-point maps across
shapes. Our method is both time and space efficient, leading to a pipeline that
is significantly faster than comparable approaches. We demonstrate the
performance of our approach through an extensive quantitative and qualitative
evaluation on several benchmarks where we achieve comparable or superior
performance to existing methods.

提出一种鲁棒的方法，使用简化形状图形和图形匹配技术来找到不同表示方法下的形状区域对应关系，并且可以用于构建点对点的形状之间映射。