Building Construction Sets by Tiling Grammar Simplification

Javor Kalojanov, Michael Wand, Philipp Slusallek

In: J. Jorge , M. Lin (Hrsg.). Computer Graphics Forum. Eurographics (EG-16) 37th Annual Conference of the European Association for Computer Graphics May 9-13 Lisbon Portugal Seiten 13-25 35 2 John Wiley & Sons Ltd. Hoboken, New Jersey, USA 2016.


This paper poses the problem of fabricating physical construction sets from example geometry: A construction set provides a small number of different types of building blocks from which the example model as well as many similar variants can be reassembled. This process is formalized by tiling grammars. Our core contribution is an approach for simplifying tiling grammars such that we obtain physically manufacturable building blocks of controllable granularity while retaining variability, i.e., the ability to construct many different, related shapes. Simplification is performed by sequences of two types of elementary Operations: non-local joint edge collapses in the tile graphs reduce the granularity of the decomposition and approximate replacement Operations reduce redundancy. We evaluate our method on abstract graph grammars in addition to computing several physical construction sets, which are manufactured using a commodity 3D printer.

Weitere Links

Deutsches Forschungszentrum für Künstliche Intelligenz
German Research Center for Artificial Intelligence