Title
Learning geometric graph grammars.
Abstract
We introduce geometric graph grammars, demonstrate how they can generate geometric structures, and introduce an algorithm for their automatic learning (inverse procedural modeling). Our approach extends the concept of graph grammars to allow for coding not only topological data, but also geometry. Forward modeling generates geometric graphs and considers various strategies for node connectivity. Inverse procedural modeling performs learning of geometric graphs, by discovering repeated structures and their connectivity. These structures are encoded into geometric graph grammar rewriting rules. We demonstrate usability of our approach on an example using urban networks. Graph learning is reasonably fast; in our implementation, learning of a road network with 72k vertices and 100k edges is performed in less than one minute.
Year
DOI
Venue
2016
10.1145/2948628.2948635
SCCG
Field
DocType
Citations 
Geometric graph theory,Graph property,Computer science,Geometric networks,Algorithm,Theoretical computer science,Null graph,Graph rewriting,Random geometric graph,Topological graph theory,Graph (abstract data type)
Conference
0
PageRank 
References 
Authors
0.34
8
6
Name
Order
Citations
PageRank
Marek Fiser100.34
Bedrich Benes2127680.15
Jorge A. G. Galicia3372.04
Michel Abdul-Massih471.49
Daniel G. Aliaga51209133.57
Vojtech Krs600.34