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Wavelet Analysis in a Structured Clay Soil Using 2-d Images : Volume 14, Issue 4 (20/07/2007)

By Piñuela, J. A.

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Book Id: WPLBN0003977419
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: Wavelet Analysis in a Structured Clay Soil Using 2-d Images : Volume 14, Issue 4 (20/07/2007)  
Author: Piñuela, J. A.
Volume: Vol. 14, Issue 4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2007
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

Citation

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Tarquis, A. M., Mcinnes, K. J., Andina, D., & Piñuela, J. A. (2007). Wavelet Analysis in a Structured Clay Soil Using 2-d Images : Volume 14, Issue 4 (20/07/2007). Retrieved from http://hawaiilibrary.net/


Description
Description: Universidad Europea de Madrid, Villaviciosa de Odón, Madrid, 28040, Spain. The spatial variability of preferential pathways for water and chemical transport in a field soil, as visualized through dye infiltration experiments, was studied by applying multifractal and wavelet transform analysis (WTA). After dye infiltration into a 4 m² plot located on a Vertisol soil near College Station, Texas, horizontal planes in the subsoil were exposed at 5 cm intervals, and dye stain patterns were photographed. Box-counting methods and WTA were applied to all of the 16 digitalized high-resolution dye images and to the dye-mass image obtained merging all sections. The well-known Devil's staircase multifractal was also used to illustrate wavelet-based analysis. Our results suggest that wavelet methods can complement box-counting analysis in the context of multiscaling structure analysis.

Summary
Wavelet analysis in a structured clay soil using 2-D images

Excerpt
Arneodo, A., Grasseau, G., and Holshneider, M.: Wavelet transform of multifractals, Phys. Rev. Lett., 61, 2281–2284, 1988.; Arneodo, A., Bacry, E., and Muzy, J.: Solving the inverse fractal problem from wavelet analysis, Europhysics Lett., 25(7), 479–484, 1994.; Daubechies, I.: Ten lectures on wavelets, volume 61, CBMS conference on wavelets, 1992.; Folorunso, O A., Puente, D E., Rolston, D E., and Pinzon, J E.: Statistical and fractal evaluation of the spatial characteristics of soil surface strength, Soil Sci. Soc. Am. J., 58, 284–295, 1994.; Hsung, T., Lun, D., and Siu, W.: Denoising by singularity detection, IEEE Trans. Signal Processing, 47, 3139–3144, 1999.; Kravchenko, A N., Boast, C W., and Bullock, D G.: Multifractal analysis of soil spatial variability, Agronomy J., 91, 1033–1041, 1999.; Mallat, S.: A Wavelet Tour of Signal Processing, Academic Press, 2nd edition, 1999.; Mallat, S.: A theory for multiresolution signal decomposition: The wavelet representation. IEEE Trans. Pattern, Recognition and Machine Intelligence, 11(7), 674–693, 1989.; Muller, J.: Characterization of pore space in chalk by multifractal analysis, J. Hydrol., 187, 215–222, 1996.; Pachepsky, Y. A., Giménez, D., Crawford, J. W., and Rawls, W. J.: Conventional and fractal geometry in soil science, in: Fractals in Soil Science, edited by: Pachepsky, Y. A., Crawford, J. W., and Rawls, W. J., Elsevier, Amsterdam, 2000.; Perfect, E., Gentry, W., Sukop, M. C., and Lawson, J. E.: Multifractal Sierpinsky carpets: Theory and application to upscaling effective saturated hydraulic conductivity, Geoderma, 134, 240–252, 2006.; Struzik, Z R.: Direct multifractal spectrum calculation from the wavelet transform. Technical Report INS-R9914, Information Systems, ISSN: 1386-3681, Amsterdam, 1999.; Tarquis, A. M., McInnes, K., Keys, J., Saa, A., Garcia, M. R., and Diaz, M. C.: Multiscaling analysis in a structured clay soil using 2D images, J. Hydrol., 322, 236–246, 2006.; Zhong, J. and Ning, R.: Image denoising based on wavelets and multifractals for singularity detection, IEEE Trans. on Image Processing, 14, 1435–1447, 2005.

 

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