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### Modeling Plants with L-Grammars: A Visual Approach using Turtle Graphics ###

This presentation by Andreea Francu explores L-Grammars as a powerful method for modeling 2D and 3D plant structures. Utilizing parallel grammars and a Turtle Graphics interpreter, L-Grammars can generate complex strings that depict intricate scenes. The L-Grammar Applet serves as a visualizing tool, featuring a grammar parser, derivator, model generator, and visualizer to transform grammar input into stunning 3D models. With examples such as 2D trees and 3D flowers, this approach significantly reduces complexity while allowing for realistic representations of plant structures and intricate details like colors and textures. ###

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### Modeling Plants with L-Grammars: A Visual Approach using Turtle Graphics ###

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  1. Plant Modeling using L-Grammars Andreea Francu - afrancu@caip Department of Electrical and Computer Engineering

  2. L-Grammars • Parallel grammars with one type of symbols • Used to generate strings • A string • describes a 2D or 3D scene • contains commands for a Turtle Graphics interpreter

  3. Turtle F + F - F Start Turtle Graphics • A turtle accepts commands: • forward (F), turn left (+), turn right (-) • 3D commands: & ^ / \ • example: F-F+F • Commands are relative to the coordinates of the turtle

  4. L-Grammar Applet • Visualizing tool for L-Grammars • Predefined grammars • Accepts new grammars • Components: • Grammar parser • Grammar derivator • 3D model generator • 3D model visualizer

  5. L-Grammar Applet • Grammar parser • translates user input into grammar internal format • Grammar derivator • keeps current derivation • constructs new derivations by substituting left-hand sides with their productions • 3D model generator • implements Turtle Graphics engine • generates a 3D model with lines and polygons • 3D model visualizer • perspective projection of the 3D model

  6. Example: 2D Trees O->ULFFF U->[+++G][---G]TU G->+H[-G]L H->-G[+H]L T->TL L->[-FFF][+FFF]F X->F-[[X]+X]+F[+FX]-X F->FF F->FF-[-F+F+F]+[+F-F-F]

  7. Example: 3D Bush

  8. Example: 3D Flower

  9. Conclusions • L-Grammars are the standard way to generate realistic images of plants • Small representation for large 3D models • database amplification • Grammar complexity increases dramatically when describing • angles, lengths, thickness, colors, textures, tropism

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