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Fractals and L-systems

2011
In geometry objects are often defined by explicit rules and transformations which can easily be translated into mathematical formulae. For example, a circle is the set of all points which are at a fixed distance r from a centre. In contrast to this, the objects of fractal geometry are usually given by a recursion.
Michael Oberguggenberger   +1 more
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Normalized L-Systems

2011
In this chapter we consider special types of L-systems and study the properties of their transfer functions. In the first two sections we will use the notion of an auxiliary canonical system to prove a theorem about the constant J-unitary factor. The theorem states that if an operator-valued function W(z) belongs to the class Ω0(R,J) described in ...
Yuri Arlinskii   +2 more
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Table matrix L systems

International Journal of Computer Mathematics, 1982
A new type of development array system called Table Matrix L system is studied. In any rectangular array derivation takes place row by row or column by column restricted by tables so as to make the resultant array rectangular. The motivation for this is to find a development type of system which could generate interesting picture classes.
Nalinakshi Nirmal, Kamala Krithivasan
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“Forgetful” L Systems

1992
This paper presents “forgetful” L systems as a new variant of the classical L systems. In this variant, apart from the state of a cell, its ancestry is also allowed to influence its future development. A cell in a particular state will, depending on its ancestry, remember either all rules or only special marked rules. Such systems are compared with the
K. Krithivasan   +2 more
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TERMINAL WEIGHTED L-SYSTEMS

International Journal of Pattern Recognition and Artificial Intelligence, 1990
Terminal weights are attached to L-systems by replacing each terminal generated by an OL-system by fa(i) in the ith step of a derivation. The family of terminal weighted OL languages will be equal to the recursively enumerable set. Terminal weights are attached to EOL-regular matrix languages and also to OL array languages.
NALINAKSHI NIRMAL, R. RAMA
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Evolutionary L-systems

2008
The problem confronting any contemporary artist wishing to use technology is in the relationship between algorithmic and creative processes. This relationship is traditionally a conflicting one, with the artist trying to bend and adapt to the rigour and exactness of the computational process, while aspiring for an unbounded freedom of expression ...
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L-systems with inheritance

ACM SIGPLAN Notices, 1995
L-objects are introduced as L-systems with some object-oriented extensions. Inheritance is the principal new feature of L-objects. We discuss both the abstract basis and the program implementation of the new L-systems technique. The L-objects programming language defined here brings new qualities to L-systems design: modularity, code reusability ...
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Symbolic computation using L-systems

Applied Mathematics and Computation, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Goel, Narendra S., Goodwin, Mark D.
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D/L-System

2002
Zur Beschreibung der absoluten Konfiguration von Aminosauren und Kohlenhydraten werden gewohnlich die kleiner gesetzten Stereodeskriptoren d und l verwendet. Um sie zu bestimmen, mus die Formel der Verbindung in der Fischer-Projektion dargestellt werden. Eine α-Aminosaure ist dann d-konfiguriert, wenn die Aminogruppe rechts der Hauptkette steht.
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Texture synthesis by L-systems

Image and Vision Computing, 1997
We present a method for texture synthesis based on the extended L-systems, called TSL-systems, which are defined as a combination of parametric, stochastic and MAP L-systems. A description of primitives and their spatial relationship is given in terms of TSL-systems. The representation of texture characteristics is hierarchical.
Min-Lu Dai, Kazumasa Ozawa
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