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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

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

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

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 present a new method for performing Boolean operations on volumes represented as triangle meshes. In contrast to existing methods which treat meshes as 3D polyhedra and try to partition the faces at their exact intersection curves, we…

Graphics · Computer Science 2016-05-09 Ryan Schmidt , Tyson Brochu

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

Boundary representation (B-rep) model editing plays an essential role in computer-aided design and motivates the very recent direct modeling paradigm, which features intuitive push-pull manipulation of the model geometry. In mechanical…

Computational Geometry · Computer Science 2020-04-02 Qiang Zou , Hsi-Yung Feng

In computational inverse problems, it is common that a detailed and accurate forward model is approximated by a computationally less challenging substitute. The model reduction may be necessary to meet constraints in computing time when…

Methodology · Statistics 2018-02-14 Daniela Calvetti , Matthew M. Dunlop , Erkki Somersalo , Andrew M. Stuart

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…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Junran Lu , Yuanqi Li , Hengji Li , Jie Guo , Yanwen Guo

Regular model checking is a technique for the verification of infinite-state systems whose configurations can be represented as finite words over a suitable alphabet. The form we are studying applies to systems whose set of initial…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-22 Javier Esparza , Michael Raskin , Christoph Welzel-Mohr

Predictive models based on machine learning can be highly sensitive to data error. Training data are often combined with a variety of different sources, each susceptible to different types of inconsistencies, and new data streams during…

Databases · Computer Science 2017-11-07 Sanjay Krishnan , Michael J. Franklin , Ken Goldberg , Eugene Wu

Constructing computer-aided design (CAD) models is labor-intensive but essential for engineering and manufacturing. Recent advances in Large Language Models (LLMs) have inspired the LLM-based CAD generation by representing CAD as command…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 Dacheng Qi , Chenyu Wang , Jingwei Xu , Tianzhe Chu , Zibo Zhao , Wen Liu , Wenrui Ding , Yi Ma , Shenghua Gao

The paper deals with the problem of compliance errors compensation in robotic-based milling. Contrary to previous works that assume that the forces/torques generated by the manufacturing process are constant, the interaction between the…

Robotics · Computer Science 2014-09-23 Alexandr Klimchik , Dmitry Bondarenko , Anatol Pashkevich , Sébastien Briot , Benoît Furet

The accuracy of information transmission while solving domain decomposed problems is crucial to smooth transition of a solution around the interface/overlapping region. This paper describes a systematical study on an accuracy enhancing…

Numerical Analysis · Mathematics 2021-12-17 Wenbin Dong , Yingjie Liu , Hansong Tang

We propose an adaptive mesh refinement strategy for immersed isogeometric analysis, with application to steady heat conduction and viscous flow problems. The proposed strategy is based on residual-based error estimation, which has been…

Boolean operations of geometric models is an essential issue in computational geometry. In this paper, we develop a simple and robust approach to perform Boolean operations on closed and open triangulated surfaces. Our method mainly has two…

Computational Geometry · Computer Science 2023-07-19 Gang Mei , John C. Tipper

Model checking is an automatic formal verification technique that is widely used in hardware verification. The state-of-the-art complete model-checking techniques, based on IC3/PDR and its general variant CAR, are based on computing…

Logic in Computer Science · Computer Science 2024-11-04 Yibo Dong , Yu Chen , Jianwen Li , Geguang Pu , Ofer Strichman

Direct modeling is a very recent CAD paradigm that can provide unprecedented modeling flexibility. It, however, lacks the parametric capability, which is indispensable to modern CAD systems. For direct modeling to have this capability, an…

Computational Geometry · Computer Science 2020-04-02 Qiang Zou , Hsi-Yung Feng

Graph-based machine learning has emerged as a promising approach for manufacturability analysis by learning directly from CAD models represented as Boundary Representations (B-reps), exploiting both surface geometry and topological…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Matteo Ballegeer , Toon Van Camp , Willem Jaspers , Alp Bayar , Aung Nyein Soe , Martin Roelfs , Dries F. Benoit , Bieke Decraemer , Joost R. Duflou

Trained AI systems and expert decision makers can make errors that are often difficult to identify and understand. Determining the root cause for these errors can improve future decisions. This work presents Generative Error Model (GEM), a…

Artificial Intelligence · Computer Science 2021-03-30 Ramya Ramakrishnan , Vaibhav Unhelkar , Ece Kamar , Julie Shah
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