发表机构
StoryGold AI（StoryGold AI）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对CAD边界表示中同一实体可由不同B-rep表示导致编码器性能崩溃的问题，提出基于实体本身的规范区域图输入表示，具有理论不变性，在基准上匹配最强基线且对扰动稳定。
AI 中文摘要
边界表示（B-rep）是现代CAD系统用于参数化3D模型的标准格式。事实证明，完全相同的实体可以由不同的B-rep表示：例如，两位工程师使用不同的操作、几何内核重建文件以及导出设置重新划分面，都会导致不同的B-rep，即使底层实体保持不变。我们表明，现有的B-rep编码器对相同实体在不同B-rep下的变化不具有鲁棒性，这些变化包括对标准基准测试施加的扰动、CAD软件固有的自然变化，以及我们通过FreeCAD创建的人类数据集中设计者建模同一零件时的差异。流行的B-rep编码器的性能常常灾难性地崩溃。我们提出了规范区域图（canonical region graph），这是一种输入表示，其节点、特征和坐标框架均源自实体本身，并展示了在重新划分和刚体运动方面的理论不变性保证。它在标准基准测试上匹配最强的基线，并且在我们测试的每次扰动下都保持稳定。
英文摘要
Boundary representation (B-rep) is the standard format used by modern CAD systems for parametric 3D models. It turns out, the exact same solid can be represented by different B-reps: for example, two engineers using different operations, a geometry kernel rebuilding the file, and an export setting repartitioning faces will lead to different B-reps even though the underlying solid remains the same. We show that existing B-rep encoders are not robust to variation in the B-rep with the same solid on perturbations applied to standard benchmarks, naturally occurring variations inherent to CAD software, and differences in how designers model the same part via a human dataset we created in FreeCAD. The performance of popular B-rep encoders often collapses catastrophically. We propose the canonical region graph, an input representation whose nodes, features and coordinate frame are derived from the solid itself and show theoretical invariance guarantees on repartitioning and rigid motions. It matches the strongest baseline on standard benchmarks, and is stable under every perturbation we test.
