Polyhedral Patterns

Caigui Jiang, Chengcheng Tang, Amir Vaxman, Peter Wonka, Helmut Pottmann

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We study the design and optimization of polyhedral patterns, which are patterns of planar polygonal faces on freeform surfaces. Working with polyhedral patterns is desirable in architectural geometry and industrial design. However, the classical tiling patterns on the plane must take on various shapes in order to faithfully and feasibly approximate curved surfaces. We define and analyze the deformations these tiles must undertake to account for curvature, and discover the symmetries that remain invariant under such deformations. We propose a novel method to regularize polyhedral patterns while maintaining these symmetries into a plethora of aesthetic and feasible patterns.
Original languageEnglish
Article number172
Number of pages12
JournalACM Transactions on Graphics
Issue number6
Publication statusPublished - 2 Nov 2015
EventThe 8th ACM SIGGRAPH Conference and Exhibition on Computer Graphics and Interactive Techniques in Asia - Kobe, Japan
Duration: 2 Nov 20155 Nov 2015
Conference number: 8

Keywords / Materials (for Non-textual outputs)

  • wallpaper tiling groups
  • polyhedral meshes
  • architectural geometry
  • discrete differential geometry


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