arXiv:2601.17733cs.CVcs.GR2026-01International Conf…

将复杂几何体统一为可组合的粒子单元,实现拓扑与几何联合生成。

Flatten The Complex: Joint B-Rep Generation via Compositional $k$-Cell Particles

  • 用可共享的粒子单元表示顶点、边、面,打破层级限制
  • 支持单视图/点云重建,生成模型保真度与可编辑性更强
  • 适合需要精细修改或生成非流形结构的工业设计场景

边界表示(B-Rep)是计算机辅助设计与制造中的主流标准。然而,由于其作为几何细胞复形具有固有的异质性,不同阶次的细胞(如顶点、边、面)在拓扑与几何上耦合紧密,使得生成建模面临巨大挑战。现有方法多采用级联序列处理层级关系,未能充分利用细胞间的邻接与共享等几何关联,限制了上下文感知能力与错误恢复。为此,本文提出一种新范式:将B-Reps重构为可组合的k-细胞粒子集合。每个拓扑实体以粒子组合形式编码,相邻细胞在界面处共享相同潜在表示,从而强化边界上的几何耦合。通过解耦刚性层级结构,该表示统一了顶点、边与面,实现拓扑与几何的联合生成,并具备全局上下文感知能力。我们采用多模态流匹配框架合成粒子集,支持无条件生成及精确条件任务,如单视图或点云的3D重建。此外,该表示显式且局部化,自然适用于局部修复等下游任务,并可直接合成非流形结构(如线框)。大量实验表明,本方法生成的CAD模型在保真度、有效性与可编辑性方面均优于现有先进方法。

原文摘要 · Abstract (English)

Boundary Representation (B-Rep) is the widely adopted standard in Computer-Aided Design (CAD) and manufacturing. However, generative modeling of B-Reps remains a formidable challenge due to their inherent heterogeneity as geometric cell complexes, which entangles topology with geometry across cells of varying orders (i.e., $k$-cells such as vertices, edges, faces). Previous methods typically rely on cascaded sequences to handle this hierarchy, which fails to fully exploit the geometric relationships between cells, such as adjacency and sharing, limiting context awareness and error recovery. To fill this gap, we introduce a novel paradigm that reformulates B-Reps into sets of compositional $k$-cell particles. Our approach encodes each topological entity as a composition of particles, where adjacent cells share identical latents at their interfaces, thereby promoting geometric coupling along shared boundaries. By decoupling the rigid hierarchy, our representation unifies vertices, edges, and faces, enabling the joint generation of topology and geometry with global context awareness. We synthesize these particle sets using a multi-modal flow matching framework to handle unconditional generation as well as precise conditional tasks, such as 3D reconstruction from single-view or point cloud. Furthermore, the explicit and localized nature of our representation naturally extends to downstream tasks like local in-painting and enables the direct synthesis of non-manifold structures (e.g., wireframes). Extensive experiments demonstrate that our method produces high-fidelity CAD models with superior validity and editability compared to state-of-the-art methods.

CAD生成几何建模粒子表示联合生成

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