- author = "Evelyne Lutton and Jacques Levy-Vehel and Guillaume Cretin and Philippe Glevarec and Cidric Roll",
- title = "Mixed {IFS}: Resolution of the Inverse Problem Using Genetic Programming",
- journal = "Complex Systems",
- year = "1995",
- volume = "9",
- number = "5",
- pages = "375--398",
- keywords = "genetic algorithms, genetic programming, fractals",
- ISSN = "0891-2513",
-
URL = "
http://evelyne.lutton.free.fr/Papers/81_RR-2631.pdf",
-
URL = "http://www.complex-systems.com/pdf/09-5-3.pdf",
-
URL = "
http://www.complex-systems.com/abstracts/v09_i05_a03.html",
- size = "24 pages",
- abstract = "We address here the resolution of the so-called inverse problem for the iterated functions system (IFS). This problem has already been widely considered, and some studies have been performed for the affine IFS, using deterministic or stochastic methods (simulated annealing or genetic algorithm). In dealing with the nonaffine IFS, the usual techniques do not perform well unless some a priori hypotheses on the structure of the IFS (number and type of functions) are made. In this work, a genetic programming method is investigated to solve the ``general'' inverse problem, which allows the simultaneous performance of a numeric and a symbolic optimization. The use of a ``mixed IFS'' may enlarge the scope of some applications, for example, image compression, because it allows a wider range of shapes to be coded.",
-
notes = "Alos known as \cite{Lutton95-CS} See also Inria
Research Report No 2631
see also \cite{Cretin:al:EA95} http://www-syntim.inria.fr/fractales/fractales-eng.html",
