Observatorio de I+D+i UPM

Memorias de investigación
Communications at congresses:
Multifractal 3D Spatial-scale analysis of soil variables using wavelets
Year:2009
Research Areas
  • Mathematics,
  • Processing and signal analysis
Information
Abstract
hrough ¿3D wavelet analysis of the entire volume (instead of processing each sub-volume separately), new results and physical interpretations could be derived but first, there is a need for establishing a wavelet-based methodology dealing with the increase of complexity resulting from two to three dimensions). To build wavelets in higher dimension we first use tensor products of one-dimensional constructions resulting in separable filters which give preferential treatment to the coordinate axis. Although the construction of such a wavelet is conceptually simple, the methodology applied in order to compute multifractal parameters is fully revised and presented along with some insights into the interpretation of the derived results. The separable approach only allows for rectangular divisions of the frequency spectrum. Often, other symmetry axes than the coordinate ones and nonrectangular divisions of the frequency spectrum offer better results. The construction of wavelets over these other support or lattices as known in multidimensional signal processing, relies on the lifting scheme [3]. The extension of our methodology to this second generation wavelets provides other advantages which are preliminary explored in our work Both methodologies are illustrated
International
Si
Congress
EGU 2009
960
Place
Viena, Austria
Reviewers
Si
ISBN/ISSN
978-3-642-02266-1
Start Date
19/04/2009
End Date
23/04/2009
From page
15
To page
15
Geophysical Research Abstracts
Participants
  • Autor: Juan A Piñuela (UEM)
  • Autor: Diego Andina De la Fuente (UPM)
  • Autor: Ana Maria Tarquis Alfonso (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de Automatización en Señal y Comunicaciones (GASC)
  • Departamento: Matemática Aplicada a la Ingeniería Agronómica
  • Departamento: Señales, Sistemas y Radiocomunicaciones
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)