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GeoFusion-CAD: Structure-Aware Diffusion with Geometric State Space for Parametric 3D Design

arXiv 2603.21978 ↗First posted 23 Mar 2026cs.CV cs.GRcited by 0

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Abstract (arXiv)

Parametric Computer-Aided Design (CAD) is fundamental to modern 3D modeling, yet existing methods struggle to generate long command sequences, especially under complex geometric and topological dependencies. Transformer-based architectures dominate CAD sequence generation due to their strong dependency modeling, but their quadratic attention cost and limited context windowing hinder scalability to long programs. We propose GeoFusion-CAD, an end-to-end diffusion framework for scalable and structure-aware generation. Our proposal encodes CAD programs as hierarchical trees, jointly capturing geometry and topology within a state-space diffusion process. Specifically, a lightweight C-Mamba block models long-range structural dependencies through selective state transitions, enabling coherent generation across extended command sequences. To support long-sequence evaluation, we introduce DeepCAD-240, an extended benchmark that increases the sequence length ranging from 40 to 240 while preserving sketch-extrusion semantics from the ABC dataset. Extensive experiments demonstrate that GeoFusion-CAD achieves superior performance on both short and long command ranges, maintaining high geometric fidelity and topological consistency where Transformer-based models degrade. Our approach sets new state-of-the-art scores for long-sequence parametric CAD generation, establishing a scalable foundation for next-generation CAD modeling systems. Code and datasets are available at GitHub.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 30 of its 39 references that are in the map. First posted on arXiv 23 Mar 2026.

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30 of 39 references.

References · 30

  1. 2017Attention Is All You Needcited by 59,932
  2. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
  3. 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,616
  4. 2024Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Dualitycited by 1,283
  5. 2015Pointer Networkscited by 882
  6. 2020PolyGen: An Autoregressive Generative Model of 3D Meshescited by 267
  7. 2021DeepCAD: A Deep Generative Network for Computer-Aided Design Modelscited by 266
  8. 2022SkexGen: Autoregressive Generation of CAD Construction Sequences with Disentangled Codebookscited by 121
  9. 2024BrepGen: A B-rep Generative Diffusion Model with Structured Latent Geometrycited by 101
  10. 2020ParSeNet: A Parametric Surface Fitting Network for 3D Point Cloudscited by 96
  11. 2023Hierarchical Neural Coding for Controllable CAD Model Generationcited by 84
  12. 2021Computer-Aided Design as Languagecited by 82
18 more
  1. 2022SolidGen: An Autoregressive Model for Direct B-rep Synthesiscited by 78
  2. 2020UCSG-Net -- Unsupervised Discovering of Constructive Solid Geometry Treecited by 77
  3. 2022HouseDiffusion: Vector Floorplan Generation via a Diffusion Model with Discrete and Continuous Denoisingcited by 72
  4. 2021SketchGen: Generating Constrained CAD Sketchescited by 68
  5. 2020PIE-NET: Parametric Inference of Point Cloud Edgescited by 67
  6. 2021Vitruvion: A Generative Model of Parametric CAD Sketchescited by 66
  7. 2023PolyDiff: Generating 3D Polygonal Meshes with Diffusion Modelscited by 66
  8. 2024CAD-SIGNet: CAD Language Inference from Point Clouds using Layer-wise Sketch Instance Guided Attentioncited by 62
  9. 2021Inferring CAD Modeling Sequences Using Zone Graphscited by 50
  10. 2023CAGE: Controllable Articulation GEnerationcited by 50
  11. 2021Engineering Sketch Generation for Computer-Aided Designcited by 49
  12. 2023SECAD-Net: Self-Supervised CAD Reconstruction by Learning Sketch-Extrude Operationscited by 46
  13. 2023D2CSG: Unsupervised Learning of Compact CSG Trees with Dual Complements and Dropoutscited by 39
  14. 2022ExtrudeNet: Unsupervised Inverse Sketch-and-Extrude for Shape Parsingcited by 38
  15. 2021CPFN: Cascaded Primitive Fitting Networks for High-Resolution Point Cloudscited by 24
  16. 2023SHARP Challenge 2023: Solving CAD History and pArameters Recovery from Point clouds and 3D scans. Overview, Datasets, Metrics, and Baselinescited by 19
  17. 2019Neural Shape Parsers for Constructive Solid Geometrycited by 14
  18. 2023SepicNet: Sharp Edges Recovery by Parametric Inference of Curves in 3D Shapescited by 13

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