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Manifold Construction Over Polyhedral Mesh

Communications in Mathematics and Statistics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Chun, Liu, Ligang
openaire   +2 more sources

Polyhedral meshes with concave faces

SIGGRAPH Asia 2017 Posters, 2017
We study the design and optimization of polygonal meshes with concave planar faces. The motivating applications of this work are architecture, product design, and art. To discretize freeform surfaces into polyhedral meshes, we propose a novel class of regularizers for mesh aesthetics based on symmetries.
Jiang, C., Chen, R.
openaire   +2 more sources

Polygonal and Polyhedral Delaunay Meshing

2021
We consider construction of a polyhedral Delaunay partition as a limit of the sequence of radical partitions (power diagrams), while the dual Voronoi diagram is obtained as a limit of sequence of weighted Delaunay partitions. Using a lifting analogy, this problem is reduced to the construction of a pair of dual convex polyhedra, inscribed and ...
Vladimir Garanzha, Liudmila Kudryavtseva
openaire   +1 more source

Untangling polygonal and polyhedral meshes via mesh optimization

Engineering with Computers, 2014
We propose simple and efficient optimization-based untangling strategies for 2D polygonal and 3D polyhedral meshes. The first approach uses a size-based mesh metric, which eliminates inverted elements by averaging element size over the entire mesh.
Jibum Kim, Jaeyong Chung
openaire   +1 more source

Multi-material swept face remapping on polyhedral meshes

Journal of Computational Physics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jan Velechovsky   +9 more
openaire   +1 more source

Polyhedral surface smoothing with simultaneous mesh regularization

Proceedings Geometric Modeling and Processing 2000. Theory and Applications, 2000
A computer graphics object reconstructed from real-world data often contains undesirable noise and small-scale oscillations. An important problem is how to remove the noise and oscillations while preserving desirable geometric features of the object. We develops methods for polyhedral surface smoothing and denoising with simultaneous increasing mesh ...
Y. Ohtake, A.G. Belyaev, I.A. Bogaevski
openaire   +1 more source

Diffusion problem on generalized polyhedral meshes

2014
A generalized polyhedron is a topological polyhedron, i.e. a solid defined by a bi-Lipschitz mapping of a polyhedron. The faces of a generalized polyhedron are usually non-planar (or curved) but edges may remain straight line segments. A generalized polyhedral mesh is a mesh containing generalized polyhedra.
Lourenço Beirão da Veiga   +2 more
openaire   +1 more source

Design of a Polyhedral Helix Curve Meshing Reducer

Journal of Mechanical Design, 2014
The space curve meshing wheel (SCMW) is an innovative gear mechanism based on the space curve meshing theory, and the helix curve meshing wheel (HCMW) is the most common SCMW. In this study, we propose the polyhedral helix curve meshing reducer (HCMR), which is based on the HCMW group.
Yangzhi Chen, Jiang Ding, Yueling Lv
openaire   +1 more source

Multi-material interface reconstruction on generalized polyhedral meshes

Journal of Computational Physics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahn, Hyung Taek, Shashkov, Mikhail
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Recent techniques for PDE discretizations on polyhedral meshes

Mathematical Models and Methods in Applied Sciences, 2014
This brief paper is an introduction to the papers published in a special issue devoted to survey on recent techniques for discretizing Partial Differential Equations on general polygonal and polyhedral meshes. The number of different techniques to deal with discretizations on polygonal and polyhedral meshes is quite huge, and their history is quite ...
N Bellomo, F Brezzi, G Manzini
openaire   +3 more sources

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