arXiv:2504.14257cs.GRcs.CV2025-04被引 45

用统一隐空间生成三维建模的边界表示,提升精度与效率。

HoLa: B-Rep Generation using a Holistic Latent Representation

  • 构建全息隐空间,将几何与拓扑融合,通过神经相交网络推导曲线。
  • 生成有效性达82%,显著高于现有方法约50%的水平。
  • 支持点云、草图、文本等多种输入,适合工业设计与智能建模场景。

本文提出一种新型表示方法——全息隐空间(HoLa),用于学习与生成计算机辅助设计(CAD)模型的边界表示(B-Rep)。该方法将不同阶次的几何元素(如曲面、曲线)及其离散拓扑关系统一编码于一个连续的隐空间中。核心思想是:两曲面之间的拓扑连接本质上由其交线几何决定。基于此先验,我们将拓扑学习重构为欧氏空间中的几何重建问题,通过神经相交网络从一对曲面推导出曲线几何,从而在隐空间中无需显式表示曲线、顶点及拓扑连接。最终,仅以曲面定义的紧凑且完整的隐空间,编码了包括曲面、曲线、顶点及其拓扑关系在内的完整B-Rep模型。该结构支持首个基于扩散模型的生成器,可处理点云、单/多视图图像、2D草图和文本提示等多样输入。相比以往多阶段学习流程,本方法显著降低歧义性、冗余性和不一致性,同时训练复杂度更低,生成有效性提升至82%,远超当前最优约50%的水平。

原文摘要 · Abstract (English)

We introduce a novel representation for learning and generating Computer-Aided Design (CAD) models in the form of $\textit{boundary representations}$ (B-Reps). Our representation unifies the continuous geometric properties of B-Rep primitives in different orders (e.g., surfaces and curves) and their discrete topological relations in a $\textit{holistic latent}$ (HoLa) space. This is based on the simple observation that the topological connection between two surfaces is intrinsically tied to the geometry of their intersecting curve. Such a prior allows us to reformulate topology learning in B-Reps as a geometric reconstruction problem in Euclidean space. Specifically, we eliminate the presence of curves, vertices, and all the topological connections in the latent space by learning to distinguish and derive curve geometries from a pair of surface primitives via a neural intersection network. To this end, our holistic latent space is only defined on surfaces but encodes a full B-Rep model, including the geometry of surfaces, curves, vertices, and their topological relations. Our compact and holistic latent space facilitates the design of a first diffusion-based generator to take on a large variety of inputs including point clouds, single/multi-view images, 2D sketches, and text prompts. Our method significantly reduces ambiguities, redundancies, and incoherences among the generated B-Rep primitives, as well as training complexities inherent in prior multi-step B-Rep learning pipelines, while achieving greatly improved validity rate over current state of the art: 82% vs. $\approx$50%.

CAD生成边界表示扩散模型隐空间

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