L-systems
From GenerativeArt
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{{SingleImage|imageWidthPlusTen=460|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/lsys/01.png|caption=Example showing string interpretation}} | {{SingleImage|imageWidthPlusTen=460|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/lsys/01.png|caption=Example showing string interpretation}} | ||
| - | == L | + | |
| - | L Systems can grow via iterative string substitution. | + | == How L-systems Grow == |
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| + | <SPAN STYLE="font-size: larger;">String rewriting/substitution </SPAN> | ||
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| + | L Systems can grow via iterative string substitution. The system initially has three components and | ||
Initial condition - n d and δ | Initial condition - n d and δ | ||
Production Rules: specifies string substitution | Production Rules: specifies string substitution | ||
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| - | + | <SPAN STYLE="font-size: larger;"><u>Example</u></SPAN> | |
n = 3 | n = 3 | ||
{{SingleImage|imageWidthPlusTen=460|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/lsys/02.png|caption=Example showing string substitution}} | {{SingleImage|imageWidthPlusTen=460|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/lsys/02.png|caption=Example showing string substitution}} | ||
| - | = | + | |
| + | <SPAN STYLE="font-size: larger;"><u> Symbols</u></SPAN> | ||
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L Systems can also have symbols which have no drawing operations associated with them, but which add to complexity in production | L Systems can also have symbols which have no drawing operations associated with them, but which add to complexity in production | ||
{{SingleImage|imageWidthPlusTen=460|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/lsys/03.png|caption=Example showing string substitution with symbols}} | {{SingleImage|imageWidthPlusTen=460|imageURL=http://www-viz.tamu.edu/courses/viza658/wiki/lsys/03.png|caption=Example showing string substitution with symbols}} | ||
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== Branching Structures == | == Branching Structures == | ||
This is an important conceptual leap than having genes for a specific phenotype (e.g. "red" or "tall") L-System genes would specify a mechanism which then creates form. Much more like real DNA. | This is an important conceptual leap than having genes for a specific phenotype (e.g. "red" or "tall") L-System genes would specify a mechanism which then creates form. Much more like real DNA. | ||
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== Stochastic L-Systems == | == Stochastic L-Systems == | ||
