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    Designing patterns using triangle-quad hybrid meshes

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    Type
    Article
    Authors
    Peng, Chi-Han
    Pottmann, Helmut
    Wonka, Peter cc
    KAUST Department
    Visual Computing Center (VCC)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Computer Science Program
    Date
    2018-07-31
    Online Publication Date
    2018-07-31
    Print Publication Date
    2018-07-30
    Permanent link to this record
    http://hdl.handle.net/10754/630175
    
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    Abstract
    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.
    Citation
    Peng C-H, Pottmann H, Wonka P (2018) Designing patterns using triangle-quad hybrid meshes. ACM Transactions on Graphics 37: 1–14. Available: http://dx.doi.org/10.1145/3197517.3201306.
    Sponsors
    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.
    Publisher
    Association for Computing Machinery (ACM)
    Journal
    ACM Transactions on Graphics
    DOI
    10.1145/3197517.3201306
    Additional Links
    https://dl.acm.org/citation.cfm?doid=3197517.3201306
    ae974a485f413a2113503eed53cd6c53
    10.1145/3197517.3201306
    Scopus Count
    Collections
    Articles; Computer Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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