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HiDiGen: Hierarchical Diffusion for B-Rep Generation with Explicit Topological Constraints

arXiv 2604.02847 ↗First posted 3 Apr 2026cs.CVcited by 0

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Abstract (arXiv)

Boundary representation (B-rep) is the standard 3D modeling format in CAD systems, encoding both geometric primitives and topological connectivity. Despite its prevalence, deep generative modeling of valid B-rep structures remains challenging due to the intricate interplay between discrete topology and continuous geometry. In this paper, we propose HiDiGen, a hierarchical generation framework that decouples geometry modeling into two stages, each guided by explicitly modeled topological constraints. Specifically, our approach first establishes face-edge incidence relations to define a coherent topological scaffold, upon which face proxies and initial edge curves are generated. Subsequently, multiple Transformer-based diffusion modules are employed to refine the geometry by generating precise face surfaces and vertex positions, with edge-vertex adjacencies dynamically established and enforced to preserve structural consistency. This progressive geometry hierarchy enables the generation of more novel and diverse shapes, while two-stage topological modeling ensures high validity. Experimental results show that HiDiGen achieves strong performance, generating novel, diverse, and topologically sound CAD models.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 18 of its 27 references that are in the map. First posted on arXiv 3 Apr 2026.

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18 of 27 references.

References · 18

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  10. 2024BrepGen: A B-rep Generative Diffusion Model with Structured Latent Geometrycited by 101
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6 more
  1. 2022SolidGen: An Autoregressive Model for Direct B-rep Synthesiscited by 78
  2. 2021JoinABLe: Learning Bottom-up Assembly of Parametric CAD Jointscited by 77
  3. 2019Learning to Infer and Execute 3D Shape Programscited by 68
  4. 2021Point2Cyl: Reverse Engineering 3D Objects from Point Clouds to Extrusion Cylinderscited by 59
  5. 2025HoLa: B-Rep Generation using a Holistic Latent Representationcited by 29
  6. 2025DTGBrepGen: A Novel B-rep Generative Model through Decoupling Topology and Geometrycited by 20

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