Fractals as Pre-Processing Tool for Computational Intelligence Application

Ana M. Tarquis, Valeriano Mèndez, Juan B. Grau, Josè M. Antòn and Diego Andina
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Ana M. Tarquis: U.P.M., Av. Complutense s.n., Ciudad Universitaria, Dpto. de Matemàtica Aplicada, E.T.S. de Ingenieros Agrònomos
Valeriano Mèndez: U.P.M., Av. Complutense s.n., Ciudad Universitaria, Dpto. de Matemàtica Aplicada, E.T.S. de Ingenieros Agrònomos
Juan B. Grau: U.P.M., Av. Complutense s.n., Ciudad Universitaria, Dpto. de Matemàtica Aplicada, E.T.S. de Ingenieros Agrònomos
Josè M. Antòn: U.P.M., Av. Complutense s.n., Ciudad Universitaria, Dpto. de Matemàtica Aplicada, E.T.S. de Ingenieros Agrònomos
Diego Andina: U.P.M., Av. Complutense s.n., Ciudad Universitaria, Dpto. de Matemàtica Aplicada, E.T.S. de Ingenieros Agrònomos

Chapter Chapter 8 in Computational Intelligence, 2007, pp 193-212 from Springer

Abstract: Preprocessing is the process of adapting the input of our Computational Intelligence (CI) problem to the CI technique applied. Images are inputs of many problems, and Fractal processing of the images to extract relevant geometry characteristics is a very important tool. This chapter is dedicated to Fractal Preprocessing. In Pedology, fractal models were fitted to match the structure of soils and techniques of multifractal analysis of soil images were developed as is described in a state-of-the-art panorama. A box-counting method and a gliding box method are presented, both obtaining from images sets of dimension parameters, and are evaluated in a discussed case study from images of samples, and the second seems preferable. Finally, a comprehensive list of references is given

Keywords: pedology; soil structure; multifractal; soil images; box-counting method; gliding-box method; capacity dimension; information dimension; correlation dimension; multiscale heterogeneity; fractal models; porous media; partition function (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-37452-9_8

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DOI: 10.1007/0-387-37452-3_8

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