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This paper presents a novel paradigm in simulation-based engineering sciences by introducing a new framework called Generative Parametric Design (GPD). The GPD framework enables the generation of new designs along with their corresponding…

Computational Engineering, Finance, and Science · Computer Science 2025-12-15 Mohammed El Fallaki Idrissi , Jad Mounayer , Sebastian Rodriguez , Fodil Meraghni , Francisco Chinesta

Program code serves as a bridge linking vision and logic, providing a feasible supervisory approach for enhancing the multimodal reasoning capability of large models through geometric operations such as auxiliary line construction and…

Artificial Intelligence · Computer Science 2026-02-10 Zhenyu Wu , Yanxi Long , Jian Li , Hua Huang

Reverse Engineering a CAD shape from other representations is an important geometric processing step for many downstream applications. In this work, we introduce a novel neural network architecture to solve this challenging task and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-05 Joseph G. Lambourne , Karl D. D. Willis , Pradeep Kumar Jayaraman , Longfei Zhang , Aditya Sanghi , Kamal Rahimi Malekshan

We introduce a new method of generating Computer Aided Design (CAD) profiles via a sequence of simple geometric constructions including curve offsetting, rotations and intersections. These sequences start with geometry provided by a…

Machine Learning · Computer Science 2026-01-15 Siyi Li , Joseph G. Lambourne , Longfei Zhang , Pradeep Kumar Jayaraman , Karl. D. D. Willis

Parametric Computer-Aided Design (CAD) is central to contemporary mechanical design. However, it encounters challenges in achieving precise parametric sketch modeling and lacks practical evaluation metrics suitable for mechanical design. We…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Sifan Wu , Amir Khasahmadi , Mor Katz , Pradeep Kumar Jayaraman , Yewen Pu , Karl Willis , Bang Liu

Developing fully parametric building models for performance-based generative design tasks often requires proficiency in many advanced 3D modeling and visual programming, limiting its use for many building designers. Moreover, iterations of…

Human-Computer Interaction · Computer Science 2020-09-02 Mohammad Keshavarzi , Clayton Hutson , Chin-Yi Cheng , Mehdi Nourbakhsh , Michael Bergin , Mohammad Rahmani Asl

Computer-Aided Design (CAD) models are defined by their construction history: a parametric recipe that encodes design intent. However, existing large-scale 3D datasets predominantly consist of boundary representations (B-Reps) or meshes,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Mohammadmehdi Ataei , Farzaneh Askari , Kamal Rahimi Malekshan , Pradeep Kumar Jayaraman

Digital Geometry software should reflect the generality of the underlying mathe- matics: mapping the latter to the former requires genericity. By designing generic solutions, one can effectively reuse digital geometry data structures and…

Mathematical Software · Computer Science 2012-09-20 Roland Levillain , Thierry Géraud , Laurent Najman

Generating editable, parametric CAD models from a single image holds great potential to lower the barriers of industrial concept design. However, current multi-modal large language models (MLLMs) still struggle with accurately inferring 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-10-21 Yinghui Wang , Xinyu Zhang , Peng Du

Computer-aided design (CAD) tools are utilized in the manufacturing industry for modeling everything from cups to spacecraft. These programs are complex to use and typically require years of training and experience to master. Structured and…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Zhe Yuan , Jianqi Shi , Yanhong Huang

Multimodal geometry reasoning requires models to jointly understand visual diagrams and perform structured symbolic inference, yet current vision--language models struggle with complex geometric constructions due to limited training data…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Haobo Lin , Tianyi Bai , Chen Chen , Jiajun Zhang , Bohan Zeng , Wentao Zhang , Binhang Yuan

Geometry problem-solving demands advanced reasoning abilities to process multimodal inputs and employ mathematical knowledge effectively. Vision-language models (VLMs) have made significant progress in various multimodal tasks. Yet, they…

Computation and Language · Computer Science 2024-10-18 Aditya Sharma , Aman Dalmia , Mehran Kazemi , Amal Zouaq , Christopher J. Pal

Designing software systems for Geometric Computing applications can be a challenging task. Software engineers typically use software abstractions to hide and manage the high complexity of such systems. Without the presence of a unifying…

Mathematical Software · Computer Science 2017-05-19 Ahmad Hosny Eid

The advent of Computer-Aided Design (CAD) generative modeling will significantly transform the design of industrial products. The recent research endeavor has extended into the realm of Large Language Models (LLMs). In contrast to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Xueyang Li , Jiahao Li , Yu Song , Yunzhong Lou , Xiangdong Zhou

Computer-Aided Design (CAD) applications are used in manufacturing to model everything from coffee mugs to sports cars. These programs are complex and require years of training and experience to master. A component of all CAD models…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Yaroslav Ganin , Sergey Bartunov , Yujia Li , Ethan Keller , Stefano Saliceti

Design-space dimensionality reduction is essential to mitigate the cost of high-fidelity simulation-based optimization, especially when dealing with high-dimensional geometric parameterizations. Traditional linear techniques, such as…

Optimization and Control · Mathematics 2025-07-23 Andrea Serani , Giorgio Palma , Jeroen Wackers , Domenico Quagliarella , Stefano Gaggero , Matteo Diez

Recently, multiple formulations of vision problems as probabilistic inversions of generative models based on computer graphics have been proposed. However, applications to 3D perception from natural images have focused on low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2014-07-08 Tejas D. Kulkarni , Vikash K. Mansinghka , Pushmeet Kohli , Joshua B. Tenenbaum

In this paper we introduce paraglide, a visualization system designed for interactive exploration of parameter spaces of multi-variate simulation models. To get the right parameter configuration, model developers frequently have to go back…

Systems and Control · Computer Science 2011-10-25 Steven Bergner , Michael Sedlmair , Sareh Nabi , Ahmed Saad , Torsten Möller

Computer-Aided Design (CAD) generative modeling is driving significant innovations across industrial applications. Recent works have shown remarkable progress in creating solid models from various inputs such as point clouds, meshes, and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-12 Feiwei Qin , Shichao Lu , Junhao Hou , Changmiao Wang , Meie Fang , Ligang Liu

Geometric modeling by constraints, whose applications are of interest to communities from various fields such as mechanical engineering, computer aided design, symbolic computation or molecular chemistry, is now integrated into standard…

Computational Geometry · Computer Science 2018-03-06 Samy Ait-Aoudia , Adel Moussaoui , Khaled Abid , Dominique Michelucci