Fractals as Pre-Processing Tool for Computational Intelligence Application

  • Ana M. Tarquis
  • Valeriano Mèndez
  • Juan B. Grau
  • Josè M. Antòn
  • Diego Andina

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

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 


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Copyright information

© Springer 2007

Authors and Affiliations

  • Ana M. Tarquis
    • 1
  • Valeriano Mèndez
    • 1
  • Juan B. Grau
    • 1
  • Josè M. Antòn
    • 1
  • Diego Andina
    • 1
    • 2
  1. 1.Dpto. de Matemàtica Aplicada, E.T.S. de Ingenieros AgrònomosU.P.M., Av. Complutense s.n., Ciudad UniversitariaMadrid 28040Spain
  2. 2.Dpto. De Señales, Sistemas y Radiocomunicaiones, E.T.S. Ingenieros de TelecomunicaciònU.P.M., Av. Complutense s.n., Ciudad UniversitariaMadrid 28040Spain

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