Polyhedral patterns

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

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

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 (US)
Pages (from-to)1-12
Number of pages12
JournalACM Transactions on Graphics
Volume34
Issue number6
DOIs
StatePublished - Oct 27 2015

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