Marching cubes: A high resolution 3D surface construction algorithm
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An introduction to Kolmogorov complexity and its applications
An introduction to Kolmogorov complexity and its applications
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Illustrating evolutionary computation with Mathematica
Illustrating evolutionary computation with Mathematica
Creative evolutionary systems
Evolutionary Art and Computers
Evolutionary Art and Computers
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Genetically Engineered Architecture - Design Exploration with Evolutionary Computation
Shape grammars and grammatical evolution for evolutionary design
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Interactive evolutionary 3D fractal modeling
The Visual Computer: International Journal of Computer Graphics
Comparing aesthetic measures for evolutionary art
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Conceptualizing Birkhoff's aesthetic measure using Shannon entropy and Kolmogorov complexity
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Graph grammars for evolutionary 3D design
Genetic Programming and Evolvable Machines
Learning aesthetic judgements in evolutionary art systems
Genetic Programming and Evolvable Machines
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Recently, evolutionary art has been exploring the use of mathematical models of aesthetics, with the goal of automatically evolving aesthetically pleasing images. This paper investigates the application of similar models of aesthetics towards the evolution of 3-dimensional structures. We extend existing models of aesthetics used for image evaluation to the 3D realm, by considering quantifiable properties of surface geometry. Analyses used include entropy, complexity, deviation from normality, 1/f noise, and symmetry. A new 3D L-system implementation promotes accurate analyses of surface features, as well as productive rule sets when used with genetic programming. Multi-objective evaluation reconciles multiple aesthetic criteria. Experiments resulted in the generation of many models that satisfied multiple criteria. A human survey was conducted, and survey takers showed a clear preference for high-fitness highly-evolved models over low-fitness unevolved ones. This research shows that aesthetic evolution of 3D structures is a promising new research area for evolutionary art.