In the theory of Iterated Function Systems (IFSs) it is known that one can find an IFS with greyscale maps (IFSM) to approximate any target signal or image with arbitrary precision, and a systematic approach for doing so was described. In this paper, we extend these ideas to the framework of random IFSM operators. We consider the situation where one has many noisy observations of a particular target signal and show that the greyscale map parameters for each individual observation inherit the noise distribution of the observation. We provide illustrative examples

On random iterated function systems with greyscale maps / M. Demers, H. Kunze, D. la Torre. - In: IMAGE ANALYSIS & STEREOLOGY. - ISSN 1580-3139. - 31:2(2012), pp. 109-121.

On random iterated function systems with greyscale maps

D. la Torre
Ultimo
2012

Abstract

In the theory of Iterated Function Systems (IFSs) it is known that one can find an IFS with greyscale maps (IFSM) to approximate any target signal or image with arbitrary precision, and a systematic approach for doing so was described. In this paper, we extend these ideas to the framework of random IFSM operators. We consider the situation where one has many noisy observations of a particular target signal and show that the greyscale map parameters for each individual observation inherit the noise distribution of the observation. We provide illustrative examples
Random fixed point equations ; Random iterated function systems ; Collage theorem
Settore SECS-S/06 - Metodi mat. dell'economia e Scienze Attuariali e Finanziarie
http://www.ias-iss.org/ojs/IAS/article/view/916/828
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/179095
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