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This paper describes a novel method of generating hex-dominant meshes using pre-computed optimal subdivisions of the unit cube in a grid-based approach. Our method addresses geometries that are standard in mechanical engineering and often…

Computational Geometry · Computer Science 2023-07-19 Henrik Stromberg , Valentin Mayer-Eichberger , Armin Lohrengel

We present MeshODE, a scalable and robust framework for pairwise CAD model deformation without prespecified correspondences. Given a pair of shapes, our framework provides a novel shape feature-preserving mapping function that continuously…

Graphics · Computer Science 2020-05-26 Jingwei Huang , Chiyu Max Jiang , Baiqiang Leng , Bin Wang , Leonidas Guibas

This paper tackles the challenging problem of constrained hexahedral meshing. An algorithm is introduced to build combinatorial hexahedral meshes whose boundary facets exactly match a given quadrangulation of the topological sphere. This…

Computational Geometry · Computer Science 2019-07-18 Kilian Verhetsel , Jeanne Pellerin , Jean-François Remacle

Geometric rounding of a mesh is the task of approximating its vertex coordinates by floating point numbers while preserving mesh structure. Geometric rounding allows algorithms of computational geometry to interface with numerical…

Computational Geometry · Computer Science 2018-05-10 Victor Milenkovic , Elisha Sacks

In this paper, we introduce a new 3D hex mesh visual analysis system that emphasizes poor-quality areas with an aggregated glyph, highlights overlapping elements, and provides detailed boundary error inspection in three forms. By supporting…

Graphics · Computer Science 2024-03-04 Lei Si , Guoning Chen

We present an approach for robust high-order mesh generation specially tailored to streamlined bodies. The method is based on a semi-sructured approach which combines the high quality of structured meshes in the near-field with the…

Computational Geometry · Computer Science 2020-11-10 Julian Marcon , Joaquim Peiró , David Moxey , Nico Bergemann , Henry Bucklow , Mark Gammon

Simplifying complex 3D meshes is a crucial step in robotics applications to enable efficient motion planning and physics simulation. Common methods, such as approximate convex decomposition, represent a mesh as a collection of simple parts,…

Robotics · Computer Science 2025-09-30 Brandon Vu , Shameek Ganguly , Pushkar Joshi

The request for high-quality solutions continually grows in a world where more and more tasks are executed through computers. This also counts for fields such as engineering, computer graphics, etc., which use meshes to solve their…

Graphics · Computer Science 2022-11-11 Luca Schaller

This work proposes a new formulation to the long-standing problem of convex decomposition through learning feature fields, enabling the first feed-forward model for open-world convex decomposition. Our method produces high-quality…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Yuezhi Yang , Qixing Huang , Mikaela Angelina Uy , Nicholas Sharp

In this paper, we present a surface remeshing method with high approximation quality based on Principal Component Analysis. Given a triangular mesh and a user assigned polygon/vertex budget, traditional methods usually require the extra…

Graphics · Computer Science 2018-04-10 Yiqi Cai , Xiaohu Guo , Yang Liu , Wenping Wang , Weihua Mao , Zichun Zhong

Recently, deep learning-based image compression has made signifcant progresses, and has achieved better ratedistortion (R-D) performance than the latest traditional method, H.266/VVC, in both subjective metric and the more challenging…

Image and Video Processing · Electrical Eng. & Systems 2022-06-23 Haisheng Fu , Feng Liang , Jie Liang , Binglin Li , Guohe Zhang , Jingning Han

Recently introduced implicit field representations offer an effective way of generating 3D object shapes. They leverage implicit decoder trained to take a 3D point coordinate concatenated with a shape encoding and to output a value which…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Magdalena Proszewska , Marcin Mazur , Tomasz Trzciński , Przemysław Spurek

Surfaces are typically represented as meshes, which can be extracted from volumetric fields via meshing or optimized directly as surface parameterizations. Volumetric representations occupy 3D space and have a large effective receptive…

Graphics · Computer Science 2026-02-03 Ruiqi Zhang , Jiacheng Wu , Jie Chen

We introduce an algorithm to remesh triangle meshes representing developable surfaces to planar quad dominant meshes. The output of our algorithm consists of planar quadrilateral (PQ) strips that are aligned to principal curvature…

Graphics · Computer Science 2021-06-28 Floor Verhoeven , Amir Vaxman , Tim Hoffmann , Olga Sorkine-Hornung

We present a palette-based framework for color composition for visual applications. Color composition is a critical aspect of visual applications in art, design, and visualization. The color wheel is often used to explain pleasing color…

Graphics · Computer Science 2018-06-22 Jianchao Tan , Jose Echevarria , Yotam Gingold

A higher-order accurate finite element method is proposed which uses automatically generated meshes based on implicit level-set data for the description of boundaries and interfaces in two and three dimensions. The method is an alternative…

Numerical Analysis · Computer Science 2017-06-06 T. P. Fries

The Hodge decomposition provides a very powerful mathematical method for the analysis of 2D and 3D vector fields. It states roughly that any vector field can be $L^2$-orthogonally decomposed into a curl-free, divergence-free, and a harmonic…

Numerical Analysis · Mathematics 2019-12-17 Faniry H. Razafindrazaka , Konstantin Poelke , Konrad Polthier , Leonid Goubergrits

A new concept for the higher-order accurate approximation of partial differential equations on manifolds is proposed where a surface mesh composed by higher-order elements is automatically generated based on level-set data. Thereby, it…

Numerical Analysis · Computer Science 2017-10-11 T. P. Fries , D. Schöllhammer

Automated construction of surface geometries of cardiac structures from volumetric medical images is important for a number of clinical applications. While deep-learning-based approaches have demonstrated promising reconstruction precision,…

Image and Video Processing · Electrical Eng. & Systems 2021-09-15 Fanwei Kong , Nathan Wilson , Shawn C. Shadden

We introduce a novel offset meshing approach that can robustly handle a 3D surface mesh with an arbitrary geometry and topology configurations, while nicely capturing the sharp features on the original input for both inward and outward…

Graphics · Computer Science 2024-12-23 Hongyi Cao , Gang Xu , Renshu Gu , Jinlan Xu , Xiaoyu Zhang , Timon Rabczuk , Yuzhe Luo , Xifeng Gao