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When folding a 3D object from a 2D material like paper, typically only an approximation of the original surface geometry is needed. Such an approximation can effectively be created by a (progressive) mesh simplification approach, e.g. using…

Graphics · Computer Science 2024-05-14 Lars Zawallich , Renato Pajarola

Polygonal meshes provide an efficient representation for 3D shapes. They explicitly capture both shape surface and topology, and leverage non-uniformity to represent large flat regions as well as sharp, intricate features. This…

Machine Learning · Computer Science 2019-07-03 Rana Hanocka , Amir Hertz , Noa Fish , Raja Giryes , Shachar Fleishman , Daniel Cohen-Or

In this work we present a novel computational method for embedding arbitrary curved one-dimensional (1D) fibers into three-dimensional (3D) solid volumes, as e.g. in fiber-reinforced materials. The fibers are explicitly modeled with highly…

Computational Engineering, Finance, and Science · Computer Science 2023-08-25 Ivo Steinbrecher , Matthias Mayr , Maximilian J. Grill , Johannes Kremheller , Christoph Meier , Alexander Popp

Mesh simplification is the process of reducing the number of vertices, edges and triangles in a three-dimensional (3D) mesh while preserving the overall shape and salient features of the mesh. A popular strategy for this is edge collapse,…

Computational Geometry · Computer Science 2025-12-24 Purva Kulkarni , Aravind Shankara Narayanan

The proliferation of 3D scanning technology has driven a need for methods to interpret geometric data, particularly for human subjects. In this paper we propose an elegant fusion of regression (bottom-up) and generative (top-down) methods…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Benjamin Groisser , Alon Wolf , Ron Kimmel

This paper presents a novel decoder-based approach for generating manufacturable 3D structures optimized for additive manufacturing. We introduce a deep learning framework that decodes latent representations into geometrically valid,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Abhishek Kumar

Applications in virtual and augmented reality create a demand for rapid creation and easy access to large sets of 3D models. An effective way to address this demand is to edit or deform existing 3D models based on a reference, e.g., a 2D…

Computer Vision and Pattern Recognition · Computer Science 2019-03-11 Weiyue Wang , Duygu Ceylan , Radomir Mech , Ulrich Neumann

The freeform architectural modeling process often involves two important stages: concept design and digital modeling. In the first stage, architects usually sketch the overall 3D shape and the panel layout on a physical or digital paper…

Graphics · Computer Science 2022-04-27 Zhi Deng , Yang Liu , Hao Pan , Wassim Jabi , Juyong Zhang , Bailin Deng

This paper introduces a method for learning to generate line drawings from 3D models. Our architecture incorporates a differentiable module operating on geometric features of the 3D model, and an image-based module operating on view-based…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Difan Liu , Mohamed Nabail , Aaron Hertzmann , Evangelos Kalogerakis

Recent 3D-based manipulation methods either directly predict the grasp pose using 3D neural networks, or solve the grasp pose using similar objects retrieved from shape databases. However, the former faces generalizability challenges when…

Robotics · Computer Science 2023-10-03 Luobin Wang , Runlin Guo , Quan Vuong , Yuzhe Qin , Hao Su , Henrik Christensen

Designing mechanically efficient geometry for architectural structures like shells, towers, and bridges, is an expensive iterative process. Existing techniques for solving such inverse problems rely on traditional optimization methods,…

Computational Engineering, Finance, and Science · Computer Science 2025-03-18 Rafael Pastrana , Eder Medina , Isabel M. de Oliveira , Sigrid Adriaenssens , Ryan P. Adams

Inspired by protein folding, we explored the construction of three-dimensional structures and machines from one-dimensional chains of simple building blocks. This approach not only allows us to recreate the self-replication mechanism…

Computation and Language · Computer Science 2024-08-15 Ralph P. Lano

Mapping a triangulated surface to 2D space (or a tetrahedral mesh to 3D space) is the most fundamental problem in geometry processing.In computational physics, untangling plays an important role in mesh generation: it takes a mesh as an…

Computational Geometry · Computer Science 2021-02-08 Vladimir Garanzha , Igor Kaporin , Liudmila Kudryavtseva , François Protais , Nicolas Ray , Dmitry Sokolov

Rod-based structures are commonly used in practical applications in science and engineering. However, in many design, analysis, and manufacturing tasks, handling the rod-based structures in three dimensions directly is generally…

Computational Geometry · Computer Science 2026-02-10 Mark Yan Lok Yip , Gary P. T. Choi

We propose a method for computing a sewing pattern of a given 3D garment model. Our algorithm segments an input 3D garment shape into patches and computes their 2D parameterization, resulting in pattern pieces that can be cut out of fabric…

Each element in tensioned structural networks -- such as tensegrity, architectural fabrics, or medical braces/meshes -- requires a specific tension level to achieve and maintain the desired shape, stability, and compliance. These structures…

Graphics · Computer Science 2025-09-09 Thijs Masmeijer , Caleb Swain , Jeff Hill , Ed Habtour

Vacuum-forming is a common manufacturing technique for constructing thin plastic shell products by pressing heated plastic sheets onto a mold using atmospheric pressure. Vacuum-forming is ubiquitous in packaging and casing products in…

Human-Computer Interaction · Computer Science 2022-05-10 Freddie Hong , Luca Tendera , Connor Myant , David Boyle

In the field of architecture, the conversion of single images into 2 and 1/2D and 3D meshes is a promising technology that enhances design visualization and efficiency. This paper evaluates four innovative methods: "One-2-3-45," "CRM:…

Graphics · Computer Science 2024-07-30 Jacob Sam , Karan Patel , Mike Saad

Recent probabilistic methods for 3D triangular meshes capture diverse shapes by differentiable mesh connectivity, but face high computational costs with increased shape details. We introduce a new differentiable mesh processing method that…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Sanghyun Son , Matheus Gadelha , Yang Zhou , Matthew Fisher , Zexiang Xu , Yi-Ling Qiao , Ming C. Lin , Yi Zhou

This paper develops a flexible and robust robotic system for autonomous drawing on 3D surfaces. The system takes 2D drawing strokes and a 3D target surface (mesh or point clouds) as input. It maps the 2D strokes onto the 3D surface and…

Robotics · Computer Science 2020-10-02 Ruishuang Liu , Weiwei Wan , Keisuke Koyama , Kensuke Harada