Abstract
One of the main issues in evolutionary design is how to create three-dimensional shape. The representation needs to be general enough such that all possible shapes can be created, yet it has to be evolvable. That is, parent and offspring must be related. Small changes to the genotype should lead to small changes of the fitness of an individual. We have explored the use of scene graphs to evolve three-dimensional shapes. Two different scene graph representations are analyzed, the scene graph representation used by OpenInventor and the scene graph representation used by VRML. Both representations use internal floating point variables to specify three-dimensional vectors, rotation axes and rotation angles. The internal parameters are initially chosen at random, then remain fixed during the run. We also experimented with an evolution strategy to adapt the internal variables. Experimental results are presented for the evolution of a wind turbine. The VRML representation produced better results.
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References
A. L. Ames, D. R. Nadeau, and J. L. Moreland. VRML 2.0 Sourcebook. John Wiley & Sons, Inc., NY, 2nd edition, 1997.
American Wind Energy Association. The most frequently asked questions about wind energy, 2002.
W. Banzhaf, P. Nordin, R. E. Keller, and F. D. Francone. Genetic Programming-An Introduction: On The Automatic Evolution of Computer Programs and Its Applications. Morgan Kaufmann Publishers, San Francisco, CA, 1998.
P. J. Bentley, ed. Evolutionary Design by Computers. Morgan Kaufmann Publishers, May 1999.
P. J. Bentley and D. W. Corne, eds. Creative Evolutionary Systems. Morgan Kaufmann Publishers, Jan. 2001.
P. J. Bentley. Generic Evolutionary Design of Solid Objects using a Genetic Algorithm. PhD thesis, Division of Computing and Control Systems, School of Engineering, The University of Huddersfield, 1996.
T. Broughton, A. Tan, and P. S. Coates. The use of genetic programming in exploring 3D design worlds. In R. Junge, ed., CAAD futures 1997. Proc. of the 7th Int. Conf. on Computer Aides Architectural Design Futures, Munich, Germany, 4-6 Aug., pp. 885–915, Dordrecht, 1997. Kluwer Academic Publishers.
P. Coates, T. Broughton, and H. Jackson. Exploring three-dimensional design worlds using Lindenmeyer systems and genetic programming. In P. J. Bentley, ed., Evolutionary Design by Computers, pp. 323–341. Morgan Kaufmann, 1999.
G. S. Hornby and J. B. Pollack. The advantages of generative grammatical encodings for physical design. In Proc. of the 2001 Congress on Evolutionary Computation, COEX, Seoul, Korea, pp. 600–607. IEEE Press, 2001.
J. R. Koza. Genetic Programming. On the Programming of Computers by Means of Natural Selection. The MIT Press, Cambridge, MA, 1992.
J. R. Koza. Genetic Programming II. Automatic Discovery of Reusable Programs. The MIT Press, Cambridge, MA, 1994.
J. R. Koza, F. H. Bennett III, D. Andre, and M. A. Keane. Genetic Programming III. Darwinian Invention and Problem Solving. Morgan Kaufmann Publishers, 1999.
S. Kumar and P. Bentley. The ABCs of evolutionary design: Investigating the evolvability of embryogenies for morphogenesis. In GECCO-99 Late Breaking Papers, pp. 164–170, 1999.
I. Rechenberg. Evolutionsstrategie’ 94. frommann-holzboog, Stuttgart, 1994.
H.-P. Schwefel. Evolution and Optimum Seeking. John Wiley & Sons, NY, 1995.
R. Smith. Open Dynamics Engine v0.03 User Guide, Dec. 2001.
A. Watt. 3D Computer Graphics. Addison-Wesley, Harlow, England, 2000.
J. Wernecke. The Inventor Mentor: Programming Object-Oriented 3D Graphics with Open Inventor, Release 2. Addison-Wesley, Reading, MA, 1994.
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Ebner, M. (2003). Evolutionary Design of Objects Using Scene Graphs. In: Ryan, C., Soule, T., Keijzer, M., Tsang, E., Poli, R., Costa, E. (eds) Genetic Programming. EuroGP 2003. Lecture Notes in Computer Science, vol 2610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36599-0_5
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DOI: https://doi.org/10.1007/3-540-36599-0_5
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