title: Fractal analysis of laplacian pyramidal filters applied to segmentation of soil images.
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 a. 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.
authors.affiliation: Matemática Aplicada a las Tecnologías de la Información, E.T.S. de Ingenieros de Telecomunicación, Technical University of Madrid, Avenida Complutense 30, 28040 Madrid, Spain.
authors.forename: J
authors.initials: J
authors.lastname: de Castro
authors.affiliation: Matemática Aplicada a las Tecnologías de la Información, E.T.S. de Ingenieros de Telecomunicación, Technical University of Madrid, Avenida Complutense 30, 28040 Madrid, Spain.
authors.forename: F
authors.identifier: 0000-0002-0811-3435
authors.initials: F
authors.lastname: Ballesteros
authors.affiliation: Matemática Aplicada a la Ingeniería Técnica de Telecomunicación, E.T.S. de Ingeniería y Sistemas de Telecomunicación, Technical University of Madrid, Carretera de Valencia km. 7, 28031 Madrid, Spain.
authors.forename: A
authors.initials: A
authors.lastname: Méndez
authors.affiliation: Matemática Aplicada a la Ingeniería Agronómica and CEIGRAM, E.T.S. de Ingenieros Agrónomos, Technical University of Madrid, Avenida Complutense 3, 28040 Madrid, Spain.
authors.forename: A M
authors.initials: AM
authors.lastname: Tarquis
mesh_terms: D000465:Algorithms; D017709:Fractals; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D012987:Soil
chemical_list: D012987:Soil