Fractal analysis of laplacian pyramidal filters applied to segmentation of soil images

Castro de la Calle, Jorge de and Ballesteros Olmo, Francisco and Méndez Alonso, Alfredo and Tarquis Alfonso, Ana Maria (2014). Fractal analysis of laplacian pyramidal filters applied to segmentation of soil images. "The Scientific World Journal", v. 2014 ; pp. 1-13. ISSN 1537-744X. https://doi.org/10.1155/2014/212897.

Description

Title: Fractal analysis of laplacian pyramidal filters applied to segmentation of soil images
Author/s:
  • Castro de la Calle, Jorge de
  • Ballesteros Olmo, Francisco
  • Méndez Alonso, Alfredo
  • Tarquis Alfonso, Ana Maria
Item Type: Article
Título de Revista/Publicación: The Scientific World Journal
Date: 2014
ISSN: 1537-744X
Volume: 2014
Subjects:
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The laplacian pyramid is a well-known technique for image processing in which local operators of many scales, but identical shape, serve as the basis functions. The required properties to the pyramidal filter produce a family of filters, which is unipara metrical in the case of the classical problem, when the length of the filter is 5. We pay attention to gaussian and fractal behaviour of these basis functions (or filters), and we determine the gaussian and fractal ranges in the case of single parameter ?. These fractal filters loose less energy in every step of the laplacian pyramid, and we apply this property to get threshold values for segmenting soil images, and then evaluate their porosity. Also, we evaluate our results by comparing them with the Otsu algorithm threshold values, and conclude that our algorithm produce reliable test results.

More information

Item ID: 31098
DC Identifier: http://oa.upm.es/31098/
OAI Identifier: oai:oa.upm.es:31098
DOI: 10.1155/2014/212897
Official URL: http://www.hindawi.com/journals/tswj/2014/212897/
Deposited by: Memoria Investigacion
Deposited on: 21 Oct 2014 16:40
Last Modified: 21 Oct 2014 16:40
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