[share_ebook] The Algorithmic Beauty of Plants

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The Algorithmic Beauty of Plants explores mathematical models of developmental processes and structures of plants, and illustrates them using state-of-the-art computer-generated images. Plant models which grow, interact with the environment, produce flowers and fruits, and finally die, have an immense intuitive appeal of "bringing life into a computer." In front of a graphics monitor it is easy to forget the underlying mathematical formulae and simply look at plants growing, self-replicating, responding to external factors, even mutating. Without compromising the mathematical rigor of presentation the authors have tried to preserve this "touch of magic" accompanying in their research. The following areas receive particular attention: methods for the modeling and rendering of plants which are suitable for realistic image synthesis; the scientific potential of computer graphics in the visualization of biological structures and processes; the relationship between control mechanisms employed by li- ing plants and the resulting complex developmental sequences and structures; and the relationship between developmental processes, self-similarity and fractals. The formalism of L-systems are adopted as the primary mathematical vehicle used to express developmental processes. The notion of L-systems was conceived in 1968 by Aristid Lindenmayer as a formal model of plant development. Its exceptional elegance was promptly recognized by mathematicians, who soon developed a comprehensive theory of L-systems. However, only recently has computer graphics revealed the full potential of L-systems applied to plant modeling. Although the focus is on the original results of joint research led by the authors, a survey of alternative methods for plant modeling is also included.

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