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High-quality quadrilateral mesh generation is a fundamental challenge in computer graphics. Traditional optimization-based methods are often constrained by the topological quality of input meshes and suffer from severe efficiency…

Graphics · Computer Science 2026-03-12 Yuguang Chen , Xinhai Liu , Xiangyu Zhu , Yiling Zhu , Zhuo Chen , Dongyu Zhang , Chunchao Guo

3D shapes from scanning, reconstruction, or AI-generated content often lack simple quad mesh layouts -- critical for efficient editing and modeling. Existing quad-remeshing techniques typically produce complex layouts with irregular loops,…

Graphics · Computer Science 2026-05-01 Youkang Kong , Yang Liu , Yue Dong , Xin Tong , Heung-Yeung Shum

Quadrilateral mesh generation plays a crucial role in numerical simulations within Computer-Aided Design and Engineering (CAD/E). Producing high-quality quadrangulation typically requires satisfying four key criteria. First, the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-12 Qiujie Dong , Huibiao Wen , Rui Xu , Shuangmin Chen , Jiaran Zhou , Shiqing Xin , Changhe Tu , Taku Komura , Wenping Wang

Streamline-based quad meshing algorithms use smooth cross fields to partition surfaces into quadrilateral regions by tracing cross field separatrices. In practice, re-entrant corners and misalignment of singularities lead to small regions…

Computational Geometry · Computer Science 2019-08-06 Ryan Viertel , Braxton Osting , Matthew Staten

A generalization of vector fields, referred to as N-direction fields or cross fields when N = 4, has been recently introduced and studied for geometry processing, with applications in quadrilateral (quad) meshing, texture mapping, and…

Computational Geometry · Computer Science 2018-11-09 Ryan Viertel , Braxton Osting

This paper introduces a novel, robust, and computationally efficient framework for high-quality quadrilateral mesh generation on general two-dimensional domains. The core of the proposed approach is a novel method for computing cross fields…

Numerical Analysis · Mathematics 2026-05-28 Jingwen Dai , Zhonghua Qiao , Dong Wang

We present CrossLift, a technique for computing cross fields on meshes guided by visual features in images. We leverage powerful text-to-image priors that are capable of synthesizing images of feature-aligned quad meshes in 2D. We extract…

Graphics · Computer Science 2026-05-26 Dale Decatur , Jacob Serfaty , Oded Stein , Amir Vaxman , Rana Hanocka

It is hard to generate an image at target view well for previous cross-view image translation methods that directly adopt a simple encoder-decoder or U-Net structure, especially for drastically different views and severe deformation cases.…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Bin Ren , Hao Tang , Nicu Sebe

Remote sensing vision tasks require extensive labeled data across multiple, interconnected domains. However, current generative data augmentation frameworks are task-isolated, i.e., each vision task requires training an independent…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Datao Tang , Hao Wang , Yudeng Xin , Hui Qiao , Dongsheng Jiang , Yin Li , Zhiheng Yu , Xiangyong Cao

Quad meshes are essential in geometric modeling and computational mechanics. Although learning-based methods for triangle mesh demonstrate considerable advancements, quad mesh generation remains less explored due to the challenge of…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Zezeng Li , Zhihui Qi , Weimin Wang , Ziliang Wang , Junyi Duan , Na Lei

The generation of production-ready quad-dominant meshes is a cornerstone of modern 3D content creation. Generating anisotropic quad-dominant meshes from point clouds is challenging, as existing methods are typically limited to producing…

We are interested in reconstructing the mesh representation of object surfaces from point clouds. Surface reconstruction is a prerequisite for downstream applications such as rendering, collision avoidance for planning, animation, etc.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Minghua Liu , Xiaoshuai Zhang , Hao Su

Computational mathematics plays an increasingly important role in computational fluid dynamics (CFD). The aeronautics and aerospace re- search community is working on next generation of CFD capacity that is accurate, automatic, and fast. A…

Computational Geometry · Computer Science 2015-07-15 Guojun G Liao , Xi Chen , Xianxin Cai , Ben Hildebrand , Dion Fleitas

Planar quadrilateral (PQ) mesh generation is a key process in computer-aided design, particularly for architectural applications where the goal is to discretize a freeform surface using planar quad faces. The conjugate direction field (CDF)…

Graphics · Computer Science 2025-12-09 Jiong Tao , Yong-Liang Yang , Bailin Deng

The generation of quadrilateral-dominant meshes is a cornerstone of professional 3D content creation. However, existing generative models generate quad meshes by first generating triangle meshes and then merging triangles into…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Jian Liu , Chunshi Wang , Song Guo , Haohan Weng , Zhen Zhou , Zhiqi Li , Jiaao Yu , Yiling Zhu , Jing Xu , Biwen Lei , Zhuo Chen , Chunchao Guo

We introduce a method for learning to generate the surface of 3D shapes. Our approach represents a 3D shape as a collection of parametric surface elements and, in contrast to methods generating voxel grids or point clouds, naturally infers…

Computer Vision and Pattern Recognition · Computer Science 2018-07-23 Thibault Groueix , Matthew Fisher , Vladimir G. Kim , Bryan C. Russell , Mathieu Aubry

Generative Foundation Models (GFMs) have achieved remarkable success in producing high-quality synthetic data for images and text. However, their application to tabular data presents significant challenges due to the heterogeneous nature of…

Machine Learning · Computer Science 2025-11-27 Xiaofeng Lin , Chenheng Xu , Matthew Yang , Guang Cheng

We propose Squeeze3D, a novel framework that leverages implicit prior knowledge learnt by existing pre-trained 3D generative models to compress 3D data at extremely high compression ratios. Our approach bridges the latent spaces between a…

Graphics · Computer Science 2025-06-10 Rishit Dagli , Yushi Guan , Sankeerth Durvasula , Mohammadreza Mofayezi , Nandita Vijaykumar

Recent mesh generation approaches typically tokenize triangle meshes into sequences of tokens and train autoregressive models to generate these tokens sequentially. Despite substantial progress, such token sequences inevitably reuse…

Computer Vision and Pattern Recognition · Computer Science 2026-01-16 Jeonghwan Kim , Yushi Lan , Armando Fortes , Yongwei Chen , Xingang Pan

Polygon meshes are an efficient representation of 3D geometry, and are of central importance in computer graphics, robotics and games development. Existing learning-based approaches have avoided the challenges of working with 3D meshes,…

Graphics · Computer Science 2020-02-26 Charlie Nash , Yaroslav Ganin , S. M. Ali Eslami , Peter W. Battaglia
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