B. Forte, E. R. Vrscay. Solving the inverse problem for function/image approximations using iterated function systems, I. Theoretical basis. Fractals, 2(3):325-334, 1994.
We are concerned with function approximation and image representation using Iterated Function Systems (IFS) over (p (X, µ): An N-map IFS with grey level maps (IFSM), to be denoted as (w, (), is a set w of N contraction maps over a compact metric space (X, d) (the "base space") with an associated set ( of maps : R+ ( R+ . Associated with each IFSM is a contractive operator T with fixed point. We provide a rigorous solution to the following inverse problem: Given a target set , and an , find an IFSM whose attractor satisfies || u - v ||p
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@article{FoVr94a,
Author = {Forte, B. and Vrscay, E. R.},
Title = {Solving the inverse problem for function/image approximations using iterated function systems, I. Theoretical basis},
Journal = {Fractals},
Volume = {2},
Number = {3},
Pages = {325--334},
Year = {1994}
}