Transcription of Chapter 1 Graphical modeling using L-systems
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Chapter 1 Graphical modeling using L-systems
Chapter 1 Graphical modeling usingL-systemsLindenmayer systems or L-systems for short were conceived asa mathematical theory of plant development [82]. Originally, they didnot include enough detail to allow for comprehensive modeling of higherplants. The emphasis was on plant topology, that is, the neighborhoodrelations between cells or larger plant modules. Their geometric aspectswere beyond the scope of the theory. Subsequently, several geometricinterpretations of L-systems were proposed with a view to turning theminto a versatile tool for plant modeling . Throughout this book, aninterpretation based on turtle geometry is used [109]. Basic notionsrelated to L- system theory and their turtle interpretation are Rewriting systemsThe central concept of L-systems is that of rewriting. In general, rewrit-ing is a technique for defining complex objects by successively replacingparts of a simple initial object using a set ofrewriting rulesorproduc-tions. The classic example of a Graphical object defined in terms ofrewriting rules is thesnowflake curve(Figure ), proposed in 1905 byKochconstructionvon Koch [155].
6 Chapter 1. Graphical modeling using L-systems Under a microscope, the filaments appear as a sequence of cylin-ders of various lengths, with a-type cells longer than b-type cells.The
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