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Boundary representation (B-rep) of geometric models is a fundamental format in Computer-Aided Design (CAD). However, automatically generating valid and high-quality B-rep models remains challenging due to the complex interdependence between…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Jing Li , Yihang Fu , Falai Chen

We view the reconstruction of CAD models in the boundary representation (B-Rep) as the detection of geometric primitives of different orders, i.e. vertices, edges and surface patches, and the correspondence of primitives, which are…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Haoxiang Guo , Shilin Liu , Hao Pan , Yang Liu , Xin Tong , Baining Guo

The boundary representation (B-Rep) is the standard data structure used in Computer-Aided Design (CAD) for defining solid models. Despite recent progress, directly generating B-Reps end-to-end with precise geometry and watertight topology…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Xiang Xu , Pradeep Kumar Jayaraman , Joseph G. Lambourne , Yilin Liu , Durvesh Malpure , Pete Meltzer

The Boundary representation (B-rep) format is the de-facto shape representation in computer-aided design (CAD) to model solid and sheet objects. Recent approaches to generating CAD models have focused on learning sketch-and-extrude modeling…

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…

Graphics · Computer Science 2025-05-13 Yilin Liu , Duoteng Xu , Xingyao Yu , Xiang Xu , Daniel Cohen-Or , Hao Zhang , Hui Huang

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…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Shurui Liu , Weide Chen , Ancong Wu

Boundary representation (B-rep) is the de facto standard for modern CAD, yet learning-based B-rep synthesis remains challenging due to the tight coupling between discrete topology and continuous geometry. We observe a fundamental asymmetry…

Graphics · Computer Science 2026-05-20 Jing Li , Yihang Fu , Falai Chen

Direct B-Rep generation is increasingly important in CAD workflows, eliminating costly modeling sequence data and supporting complex features. A key challenge is modeling joint distribution of the misaligned geometry and topology. Existing…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Weilin Lai , Tie Xu , Hu Wang

Parametric boundary representation models (B-Reps) are the de facto standard in CAD, graphics, and robotics, yet converting them into valid meshes remains fragile. The difficulty originates from the unavoidable approximation of high-order…

Graphics · Computer Science 2026-04-03 YunFan Zhou , Daniel Zint , Nafiseh Izadyar , Michael Tao , Daniele Panozzo , Teseo Schneider

This paper presents BrepGen, a diffusion-based generative approach that directly outputs a Boundary representation (B-rep) Computer-Aided Design (CAD) model. BrepGen represents a B-rep model as a novel structured latent geometry in a…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Xiang Xu , Joseph G. Lambourne , Pradeep Kumar Jayaraman , Zhengqing Wang , Karl D. D. Willis , Yasutaka Furukawa

Boundary representation (B-rep) is the de facto standard for CAD model representation in modern industrial design. The intricate coupling between geometric and topological elements in B-rep structures has forced existing generative methods…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Pu Li , Wenhao Zhang , Weize Quan , Biao Zhang , Peter Wonka , Dong-Ming Yan

Parametric CAD models, represented as Boundary Representations (B-reps), are foundational to modern design and manufacturing workflows, offering the precision and topological breakdown required for downstream tasks such as analysis,…

Graphics · Computer Science 2025-04-08 James Noeckel , Benjamin Jones , Adriana Schulz , Brian Curless

Boundary representation (B-rep) is the industry standard for computer-aided design (CAD). While deep learning shows promise in processing B-rep models, existing methods suffer from a representation gap: continuous approaches offer…

Machine Learning · Computer Science 2026-02-10 Yuanxu Sun , Yuezhou Ma , Haixu Wu , Guanyang Zeng , Muye Chen , Jianmin Wang , Mingsheng Long

Large Computer-Aided Design (CAD) projects usually require collaboration across many different CAD systems as well as applications that interoperate with them for manufacturing, visualization, or simulation. A fundamental barrier to such…

Graphics · Computer Science 2023-06-07 Benjamin Jones , James Noeckel , Milin Kodnongbua , Ilya Baran , Adriana Schulz

Diffusion-based 3D generation has made remarkable progress in recent years. However, existing 3D generative models often produce overly dense and unstructured meshes, which stand in stark contrast to the compact, structured, and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Yuan Li , Cheng Lin , Yuan Liu , Xiaoxiao Long , Chenxu Zhang , Ningna Wang , Xin Li , Wenping Wang , Xiaohu Guo

Boundary representation (B-rep) models are the standard way 3D shapes are described in Computer-Aided Design (CAD) applications. They combine lightweight parametric curves and surfaces with topological information which connects the…

The recent rise of generative artificial intelligence (AI), powered by Transformer networks, has achieved remarkable success in natural language processing, computer vision, and graphics. However, the application of Transformers in…

Graphics · Computer Science 2025-09-01 Qiang Zou , Lizhen Zhu

Many CAD learning pipelines discretize Boundary Representations (B-Reps) into triangle meshes, discarding analytic surface structure and topological adjacency and thereby weakening consistent instance-level analysis. We present STEP-Parts,…

Graphics · Computer Science 2026-04-21 Shen Fan , Mikołaj Kida , Przemyslaw Musialski

In computer-aided design (CAD), the ability to "reverse engineer" the modeling steps used to create 3D shapes is a long-sought-after goal. This process can be decomposed into two sub-problems: converting an input mesh or point cloud into a…

Computational Geometry · Computer Science 2021-04-22 Xianghao Xu , Wenzhe Peng , Chin-Yi Cheng , Karl D. D. Willis , Daniel Ritchie

This paper presents a novel geometric representation for CAD Boundary Representation (B-Rep) based on volumetric distance functions, dubbed B-Rep Distance Functions (BR-DF). BR-DF encodes the surface mesh geometry of a CAD model as signed…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Fuyang Zhang , Pradeep Kumar Jayaraman , Xiang Xu , Yasutaka Furukawa
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