GeoFusion-CAD: Structure-Aware Diffusion with Geometric State Space for Parametric 3D Design
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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
- 2017Attention Is All You Needcited by 59,932
- 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
- 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,616
- 2024Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Dualitycited by 1,283
- 2015Pointer Networkscited by 882
- 2020PolyGen: An Autoregressive Generative Model of 3D Meshescited by 267
- 2021DeepCAD: A Deep Generative Network for Computer-Aided Design Modelscited by 266
- 2022SkexGen: Autoregressive Generation of CAD Construction Sequences with Disentangled Codebookscited by 121
- 2024BrepGen: A B-rep Generative Diffusion Model with Structured Latent Geometrycited by 101
- 2020ParSeNet: A Parametric Surface Fitting Network for 3D Point Cloudscited by 96
- 2023Hierarchical Neural Coding for Controllable CAD Model Generationcited by 84
- 2021Computer-Aided Design as Languagecited by 82
18 more
- 2022SolidGen: An Autoregressive Model for Direct B-rep Synthesiscited by 78
- 2020UCSG-Net -- Unsupervised Discovering of Constructive Solid Geometry Treecited by 77
- 2022HouseDiffusion: Vector Floorplan Generation via a Diffusion Model with Discrete and Continuous Denoisingcited by 72
- 2021SketchGen: Generating Constrained CAD Sketchescited by 68
- 2020PIE-NET: Parametric Inference of Point Cloud Edgescited by 67
- 2021Vitruvion: A Generative Model of Parametric CAD Sketchescited by 66
- 2023PolyDiff: Generating 3D Polygonal Meshes with Diffusion Modelscited by 66
- 2024CAD-SIGNet: CAD Language Inference from Point Clouds using Layer-wise Sketch Instance Guided Attentioncited by 62
- 2021Inferring CAD Modeling Sequences Using Zone Graphscited by 50
- 2023CAGE: Controllable Articulation GEnerationcited by 50
- 2021Engineering Sketch Generation for Computer-Aided Designcited by 49
- 2023SECAD-Net: Self-Supervised CAD Reconstruction by Learning Sketch-Extrude Operationscited by 46
- 2023D2CSG: Unsupervised Learning of Compact CSG Trees with Dual Complements and Dropoutscited by 39
- 2022ExtrudeNet: Unsupervised Inverse Sketch-and-Extrude for Shape Parsingcited by 38
- 2021CPFN: Cascaded Primitive Fitting Networks for High-Resolution Point Cloudscited by 24
- 2023SHARP Challenge 2023: Solving CAD History and pArameters Recovery from Point clouds and 3D scans. Overview, Datasets, Metrics, and Baselinescited by 19
- 2019Neural Shape Parsers for Constructive Solid Geometrycited by 14
- 2023SepicNet: Sharp Edges Recovery by Parametric Inference of Curves in 3D Shapescited by 13
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- 2025GenCAD-3D: CAD Program Generation using Multimodal Latent Space Alignment and Synthetic Dataset Balancing
- 2025CADMorph: Geometry-Driven Parametric CAD Editing via a Plan-Generate-Verify Loop
- 2026Zero-to-CAD: Agentic Synthesis of Interpretable CAD Programs at Million-Scale Without Real Data
- 2024Topology-Aware Latent Diffusion for 3D Shape Generation
- 2025CADDreamer: CAD Object Generation from Single-view Images
- 2026ConCAD: Constraint-Aware Image-to-CAD Generation with Dual-Granularity Rewards
- 2026P3D-Bench: Benchmarking MLLMs for Parametric 3D Generation and Structural Reasoning