Designing patterns using triangle-quad hybrid meshes

Chi-Han Peng, Helmut Pottmann, Peter Wonka

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We present a framework to generate mesh patterns that consist of a hybrid of both triangles and quads. Given a 3D surface, the generated patterns fit the surface boundaries and curvatures. Such regular and near regular trianglequad hybrid meshes provide two key advantages: First, novel-looking polygonal patterns achieved by mixing different arrangements of triangles and quads together; second, a finer discretization of angle deficits than utilizing triangles or quads alone. Users have controls over the generated patterns in global and local levels. We demonstrate applications of our approach in architectural geometry and pattern design on surfaces.
Original languageEnglish (US)
Pages (from-to)1-14
Number of pages14
JournalACM Transactions on Graphics
Issue number4
StatePublished - Jul 31 2018

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This research was supported by the KAUST Office of Sponsored Research and the Visual Computing Center (VCC). This research was also supported by SFB-Transregio programme Geometry and Discretization (Austrian Science Fund grant no. I 2978). We thank Yu Tian for the 3D printing and Qiang Fu for the photography of the lamp model. We thank Heinz Schmiedhofer for the 3D rendering and Evolute GmbH for the planarity optimization. We thank Jean-Marie Morvan, Eugene Zhang, Yue Zhang, Chengcheng Tang, Olga Diamanti, and Caigui Jiang for invaluable discussions.


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