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Collage Grammars for Collision-Free Growing of Objects in 3D Scenes

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Applications of Graph Transformations with Industrial Relevance (AGTIVE 2003)

Abstract

In the real world, solid objects rarely collide without serious damage. We study collision-freeness in the context of collage grammars, which are picture- and scene-generating devices based on hyperedge replacement. We identify a type of collage grammars that generate only collision-free collages, and prove the undecidability of the problem whether an arbitrary collage grammar generates any collision-free collage. Moreover, we discuss collision avoidance in the derivation process as an appropriate tool for practical modelling purposes.

This research was partially supported by the EC Research Training Network SegraVis (Syntactic and Semantic Integration of Visual Modelling Techniques).

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© 2004 Springer-Verlag Berlin Heidelberg

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Klempien-Hinrichs, R., Meyer, T., von Totth, C. (2004). Collage Grammars for Collision-Free Growing of Objects in 3D Scenes. In: Pfaltz, J.L., Nagl, M., Böhlen, B. (eds) Applications of Graph Transformations with Industrial Relevance. AGTIVE 2003. Lecture Notes in Computer Science, vol 3062. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25959-6_28

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  • DOI: https://doi.org/10.1007/978-3-540-25959-6_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22120-3

  • Online ISBN: 978-3-540-25959-6

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