Non-Stationary Fractal Interpolation

Peter Massopust
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Peter Massopust: Center of Mathematics, Technical University of Munich, 85748 Garching, Germany

Mathematics, 2019, vol. 7, issue 8, 1-14

Abstract: We introduce the novel concept of a non-stationary iterated function system by considering a countable sequence of distinct set-valued maps { F k } k ∈ N where each F k maps H ( X ) → H ( X ) and arises from an iterated function system. Employing the recently-developed theory of non-stationary versions of fixed points and the concept of forward and backward trajectories, we present new classes of fractal functions exhibiting different local and global behavior and extend fractal interpolation to this new, more flexible setting.

Keywords: iterated function system (IFS); attractor; fractal interpolation; non-stationary IFS; non-stationary fractal interpolation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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