Influence of thresholding in mass and entropy dimension of 3-D soil images

Nonlinear Processes in Geophysics

Volumn 15, Issue 6, 2008, Pages 881-891

  Tarquis, A M ^a,b   Heck, R J ^c   Grau, J B ^b   Fabregat, J ^b   Sanchez, M E ^b   Anton J M ^b  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^b Electrotechnical Section   (Spain)

^c UNIVERSITY OF GUELPH   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; FRACTAL ANALYSIS; IMAGE RESOLUTION; IMAGING METHOD; PORE SPACE; SOIL HORIZON; SOIL STRUCTURE; SOIL TEXTURE; THRESHOLD; TOMOGRAPHY;

EID: 57349198715     PISSN: 10235809     EISSN: 16077946     Source Type: Journal    
DOI: 10.5194/npg-15-881-2008     Document Type: Article

References (47)

1. Anderson, S. H., Gantzer, C. J., Boone, J. M., and Tully, R. J.: Rapid nondestructive bulk density and soil-water content determination by computed tomography, Soil. Sci. Soc. A. J., 52, 35-40, 1988.
2. Anderson, A. N., McBratney, A. B., and FitzPatrick, E. A.: Soil Mass, Surface, and Spectral Fractal Dimensions Estimated from Thin Section Photographs, Soil. Sci. Soc. A. J., 60, 962-969, 1996.
3. Anderson, S. H., Wang, H., Peyton, R. L., and Gantzer, C. J.: Estimation of porosity and hydraulic conductivity from x-ray CTmeasured solute breakthrough, in: Applications of X-ray Computed Tomography in the Geosciences, edited by: Mees, F., Swennen, R., Van Geet, M., and Jacobs, P., p. 135-149, Geological Society of London Spec. Pub. 215, Geological Society of London, London, 2003.
4. Barnsley, M. F., Devaney, R. L., Mandelbrot, B. B., Peitgen, H. O., Saupe, D., and Voss, R. F.: The Science of Fractal Images, edited by: Peitgen, H. O. and Saupe, D., Springer-Verlag, New York, 66-67, 1988.
5. Bartoli, F., Bird, N. R., Gomendy, V., Vivier, H., and Niquet, S.: The relation between silty soil structures and their mercury porosimetry curve counterparts: fractals and percolation, Eur. J. Soil Sci., 50, 9-22,1999.
6. Baveye, P., Boast, C. W., Ogawa, S., Parlange, J. Y., and Steenhuis, T: Influence of image resolution and thresholding on the apparent mass fractal characteristics of preferential flow patterns in field soils, Water Resour. Res., 34, 2783-2796, 1998.
7. Bird, N., Diaz, M. C., Saa, A., and Tarquis, A. M.: A Review of Fractal and Multifractal Analysis of Soil Pore-Scale Images, J. Hydrol., 322, 211-219, 2006.
8. Brakensiek, D. L., Rawls, W. J., Logsdon, S. D., and Edwards, W. M.: Fractal description of macroporosity, Soil Sci. Soc. Am. J., 56, 1721-1723, 1992.
9. Buczhowski, S., Hildgen, P., and Cartilier, L.: Measurements of fractal dimension by box-counting: a critical analysis of data scatter, Physica A, 252, 23-24, 1998.
10. Crawford, J. W. and Matsui, N.: Heterogeneity of the pore and solid volume of soil: distinguishing a fractal space from its non-fractal complement, Geoderma, 73, 183-195, 1996.
11. Crawford, J. W., Baveye, P., Grindrod, P., and Rappoldt, C.: Application of Fractals to Soil Properties, Landscape Patterns, and Solute Transport in Porous Media, in: Assessment of Non-Point Source Pollution in the Vadose Zone, Geophysical Monograph, 108, edited by: Corwin, D. L., Loague, K., and Ellsworth, T. R., American Geophysical Union, Wahington, D.C., p. 151, 1999.
12. Crawford, J. W., Matsui, N., and Young, I. M.: The relation between the moisture-release curve and the structure of soil, European J. of Soil Sci., 46, 369-375, 1995.
13. Dathe, A., Eins, S., Niemeyer, J., and Gerold, G.: The surface fractal dimension of the soil-pore interface as measured by image analysis, Geoderma, 103, 203-229, 2001.
14. Dathe, A. and Thulner, M.: The relationship between fractal properties of solid matrix and pore space in porous media, Geoderma, 129, 279-290, 2005.
15. Elliot, T. R. and Heck, R. J.: A comparison of 2D and 3D thresholding of CT imagery, Can. J. Soil Sci., 87(4), 405-412, 2007.
16. EMBRAPA SOLOS: Sistema de Clasificačao de Solos, 2a Edičao, Empresa Brasileira de Pesquisa Agropecuaria, Solos, Rio de Janeiro, 306 pp, 2006.
17. Feder, J.: Fractals, Plenum Press, New York, p. 83-84, 1989.
18. Gantzer, C. J. and Anderson, S. H.: Computed tomographic measurement of macroporosity in chisel-disk and no-tillage seedbeds, Soil Tillage Res., 64, 101-111, 2002.
19. GE Healthcare: Micro View 2.1.2 - MicroCT Visualization and Analysis, London, Canada, pp 315, 2006.
20. Gibson, J. R., Lin, H., and Bruns, M. A.: A comparison of fractal analytical methods on 2- and 3-dimensional computed tomographic scans of soil aggregates, Geoderma, 134, 335-348, 2006.
21. Giménez, D., Allmaras, R. R., Huggins, D. R., and Nater, E. A.: Mass, surface and fragmentation fractal dimensions of soil fragments produced by tillage, Geoderma, 86, 261-278, 1998.
22. Giménez, D., Allmaras, R. R., Nater, E. A., and Huggins, D. R.:. Fractal dimensions for volume and surface of interaggregate pores - scale effects, Geoderma, 77, 19-38, 1997.
23. Grevers, M. C. J. and de Jong, E.: Evaluation of soil-pore continuity using geostatistical analysis on macroporosity in serial sections obtained by computed tomography scanning, in: Tomography of soil-water-root processes, edited by: Anderson, S. H. and Hopmans, J. W., p. 73-86, SSSA Spec. Bub., 36, SSSA, Madison, WI, 1994.
24. Lovejoy, S., Schertzer, D., and Tsonis, A. A.: Functional BoxCounting and Multiple Elliptical Dimensions in Rain, Science, 235, 1036-1038, 1987.
25. Melo, F. J. R. and dos Santos, M. C.: Micromorfologia e mineralogia de dois solos de Tabuleiro costeiro de Pernambuco, R. bras. Ci. Solo, 20, 99-108, 1996.
26. Oleschko, K.: Delesse principle and statistical fractal sets: 1. Dimensional equivalents, Soil Tillage Res., 49, 255-266, 1998.
27. Oleschko, K., Fuentes, C., Brambila, F., and Alvarez, R.: Linear fractal analysis of three Mexican soils in different management systems, Soil Technol., 10, 207-223, 1997.
28. Oleschko, K., Brambila, F., Aceff, F., and Mora, L. P.: From fractal analysis along a line to fractals on the plane, Soil Tillage Res., 45, 389-406, 1998.
29. Origin Lab Corporation: Origin Pro 7.5, Northampton, MA, pp 257, 2006.
30. Pachepsky, Y. A., Yakovchenko, V., Rabenhorst, M. C., Pooley, C., and Sikora, L. J.: Fractal parameters of pore surfaces as derived from micromorphological data: effect of long term management practices, Geoderma, 74, 305-319, 1996.
31. Perret, J. S., Prasher, S. O., Kantzas, A., and Langford, C.: 3D visualization of soil macroporosity using X-ray CAT scanning, Can. Agrie. Eng. J., 39, 249-261, 1997.
32. Perret, J. S., Prasher, S. O., Kantzas, A., and Langford, C.: Characterization of macropore morphology in a sandy loam soil using X-ray computer assisted tomography and geostatistical analysis, Can. Water Resou. J., 23, 143-166, 1998.
33. Perret, J., Prasher, S. O., Kantzas, A., and Langford, C.: Three-Dimensional Quantification of Macropore Networks in Undisturbed Soil Cores, Soil Sci. Soc. Am. J., 63, 1530-1543, 1999.
34. Perret, J. S., Prasher, S. O., and Kacimov, A. R.: Mass fractal dimension of soil macropores using computed tomography: from box-counting to the cube-counting algorithm, European J. Soil Sci., 54, 569-579, 2003.
35. Perrier, E., Tarquis, A. M., and Dathe, A.: A Program for Fractal and Multifractal Analysis of Two-Dimensional Binary Images. Computer Algorithms versus Mathematical Theory, Geoderma, 134, 284-294, 2006.
36. Peyton, R. L., Gantzer, C. J., Anderson, S. H., Haeffner, B. A., and Pfeifer, P.: Fractal dimension to describe soil macropore structure using X ray computed tomography, Water Resour. Res., 30, 691-700, 1994.
37. Pierret, A., Capowiez, Y., Belzunces, L., and Moran, C. J.: 3D reconstruction and quantification of macropores using X-ray computed tomography and image analysis, Geoderma, 106, 247-271, 2002.
38. Rasband, W.: ImageJ 1.36, National Insitutes of Health, USA, 153 pp, 2006.
39. Rasiah, V. and Aylmore, L. A. G.: Estimating microscale spatial distribution of conductivity and pore continuity using computed tomography, Soil Sci. Soc. Am. J., 62, 1197-1202, 1998a.
40. Rasiah, V. and Aylmore, L. A. G.: Characterizing the changes in soil porosity by computed tomography and fractal dimension, Soil Sci., 163, 203-211, 1998b.
41. Rachman, A., Anderson, S. H., and Gantzer, C. J.: Computed-Tomographic Measurement of Soil Macroporosity Paramenters as Affected by Staff-Stemmed Grass Hedges, Soil Sci. Soc. Am. J., 69, 1609-1616, 2005.
42. Rogasik, H., Crawford, J. W., Wendroth, O., Young, I. M., Joshko, M., and Ritz, K.: Discrimination of soil phases by dual energy X-ray tomography, Soil Sci. Soc. Am. J., 63, 741-751, 1999.
43. Saucier, A.: Effective permeability of multifractal porous media, PhysicaA, 183, 381-397, 1992.
44. Tarquis, A. M., Giménez, D., Saa, A., Diaz, M. C., and Gaseó, J. M.: Scaling and Multiscaling of Soil Pore Systems Determined by Image Analysis, in: Scaling Methods in Soil Physics, edited by: Pachepsky, Y. A., Radcliffe, D. E., and Selim, H. M. E., CRC Press, 434 pp, 2003.
45. Tel, T. and Vicsek, T.: Geometrical multifractality of growing structures, J. Phys. A, General, 20, L835-L840, 1987.
46. Warner, G. S., Nieber, J. L., Moore, I. D., and Geise, R. A.: Characterizing macropores in soil by computed tomography, Soil Sci. Soc. Am. J., 53, 653-660, 1989.
47. Zeng, Y., Gantzer, C. J., Payton, R. L., and Anderson, S. H.: Fractal Dimension and Lacunarity of Bulk Density Determined with X-ray Computed Tomography, Soil Sci. Soc. Am. J., 60, 1718-1724, 1996.