Lindenmayer Systems, Fractals, and Plants

Lindenmayer Systems, Fractals, and Plants

Microfilm Advances in Simulation

By (author) Przemyslaw Prusinkiewicz, Contributions by Aristid Lindenmayer, Contributions by F.D. Fracchia, Contributions by James Hanan, Contributions by K. Krithivasan

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  • Publisher: Springer-Verlag New York Inc.
  • Format: Microfilm | 122 pages
  • Dimensions: 170mm x 244mm x 8mm | 249g
  • Publication date: 7 April 1992
  • Publication City/Country: New York, NY
  • ISBN 10: 0387970924
  • ISBN 13: 9780387970929
  • Edition: 92001
  • Edition statement: 1989. 2nd Printing ed.
  • Illustrations note: black & white illustrations, bibliography

Product description

1-systems are a mathematical formalism which was proposed by Aristid 1indenmayer in 1968 as a foundation for an axiomatic theory of develop- ment. The notion promptly attracted the attention of computer scientists, who investigated 1-systems from the viewpoint of formal language theory. This theoretical line of research was pursued very actively in the seventies, resulting in over one thousand publications. A different research direction was taken in 1984 by Alvy Ray Smith, who proposed 1-systems as a tool for synthesizing realistic images of plants and pointed out the relationship between 1-systems and the concept of fractals introduced by Benoit Mandel- brot. The work by Smith inspired our studies of the application of 1-systems to computer graphics. Originally, we were interested in two problems: * Can 1-systems be used as a realistic model of plant species found in nature? * Can 1-systems be applied to generate images of a wide class of fractals? It turned out that both questions had affirmative answers. Subsequently we found that 1-systems could be applied to other areas, such as the generation of tilings, reproduction of a geometric art form from East India, and synthesis of musical scores based on an interpretation of fractals. This book collects our results related to the graphical applications of- systems. It is a corrected version of the notes which we prepared for the ACM SIGGRAPH '88 course on fractals.

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