Fractal modeling of airborne laser altimetry data

Remote Sensing of Environment

Volumn 61, Issue 1, 1997, Pages 150-161

  Pachepsky, Yakov A ^a,b   Ritchie, Jerry C ^c   Gimenez, Daniel ^c  

^a Hydrology Laboratory   (United States)

^b DUKE UNIVERSITY   (United States)

^c AGRICULTURAL RESEARCH SERVICE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FRACTALS; HYDROLOGY; PIECEWISE LINEAR TECHNIQUES; PLANTS (BOTANY); REMOTE SENSING;

AIRBORNE LASER ALTIMETRY; FRACTAL MODELING; LAND VEGETATION COVER; LANDSCAPE ROUGHNESS;

LANDFORMS;

AIRBORNE SENSING; ALTIMETRY; FRACTAL PARAMETERS; IMAGE ANALYSIS; LAND COVER; LASER; REMOTE SENSING;

USA, NEW MEXICO, JORNADA EXPERIMENTAL RANGE;

EID: 0031177941     PISSN: 00344257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4257(96)00249-0     Document Type: Article

References (36)

1. Andrle, R., and Abrahams, A. D. (1990), Fractal techniques and the surface roughness of talus slopes: reply. Earth Surface Processes Landforms 15:283-285.
2. Buffington, L. C., and Herbel, C. H. (1965), Vegetational changes on a semidesert grassland range from 1853 to 1963. Ecol. Monogr. 35:139-164.
3. Carr, J. (1990), Surface roughness characterization of rock masses using the fractal dimension and the variogram. Technical Report No. REMR-GT-14, U.S. Army Waterways Experimental Station, Vicksburg, MS.
4. Culling, W. E. H., and Datko, M. (1987), The fractal geometry of the soil-covered landscape. Earth Surface Processes and Landforms 19:369-385.
5. DeCola, L. (1989), Fractal analysis of a classified Landsat scene. Photogramm. Eng. Remote Sens. 55:601-610.
6. De Jong, S. M., and Burrough, P. A. (1995), A fractal approach to the classification of Mediterranean vegetation types in remotely sensed images. Photogramm. Eng. Remote Sens. 61: 1041-1053.
7. Dubuc, B., Quiniou, J. F., Roques-Carnes, C., Tricot, C., and Zucker, S. W. (1989), Evaluating the fractal dimension of profiles. Phys. Rev. A 39:1500-1512.
8. Fox, C. G., and Hayes, D. E. (1985), Quantitative methods for analyzing the roughness of the seafloor. Rev. Geophys. 23:1-48.
9. Gilbert, E. E. (1989), Are topographic data sets fractal? Pure Appl. Geophys. 131:241-254.
10. Gregotsky, M. E., Jensen, O., and Arkani-Hamed, J. (1991), Fractal stochastic modeling of aeromagnetic data. Geophysics. 56:1706-1715.
11. Hallet, B. (1989), Spatial self organization in geomorphology: from periodic bedforms and patterned grounds to scale-invariant topography. Earth Sci. Rev. 29:57-75.
12. Jaggi, S., Quatrochi, D. A., and Nam, N. S.-N. (1993), Implementation and operation of three fractal measurement algorithms for analysis of remote-sensing data. Comput. Geosci. 19:745-767.
13. Klinkenberg, B., and Goodchild, M. (1992), The fractal properties of topography: a comparison of methods. Earth Surface Processes Landforms 17:217-234.
14. Lam, N. S.-N. (1990), Description and measurement of Landsat TM images using fractals. Photogramm. Eng. Remote Sens. 56:187-195.
15. Loehle, C. (1994), Estimation of fractal dimensions from transect data. Argonne National Laboratory Report No. ANL/ ER/PP-74994.
16. Lovejoy, C., and Schertzer, D. (1990), Multifractals, universality classes, and satellite and radar measurements of cloud and rain fields. J. Geophys. Res. 95:2021-2034.
17. Malinvenio, A. (1989), Testing linear models of sea-floor topography. Pure Appl. Geophys. 131:139-155.
18. Malinverno, A. (1990), A simple method to estimate the fractal dimension of a self-affine series. Geophys. Res. Lett. 17: 1953-1956.
19. Mandelbrot, B. (1986), Self-affine fractal sets II: length and surface dimensions. In Fractals in Physics (L. Pietronero and E. Tosatti, Eds.), North-Holland, Amsterdam, pp. 3-15.
20. Mark, D., and Aronson, P. (1984), Scale-dependent fractal dimensions of topographic surfaces: an empirical investigation, with applications on geomorphology and computer mapping. Math. Geol. 16:671-683.
21. Menenti, M., and Ritchie, J. C. (1994), Estimation of effective aerodynamic roughness of Walnut Gulch watershed with laser altimeter measurements. Water Resour. Res. 30: 1329-1337.
22. Ouchi, S., and Matsushita, M. (1992), Measurement of self-affinity on surfaces as a trial application of fractal geometry to landform analysis. Geomorphology 5:115-130.
23. Pachepsky, Y. A., Polubesova, T. A., Hajnos, M., Jozefaciuk, G., and Sokolowska, Z. (1995), Fractal parameters of pore surface area as influenced by simulated soil degradation, Soil Sci. Soc. Am. J. 59:68-75.
24. Pfeifer, P., and Obert, M. (1990), Fractals: basic concepts and terminology. In The Fractal Approach to Heterogeneous Chemistry (D. Avnir, Ed.), Wiley, New York, pp. 11-43.
25. Polidori, L., Chorowicz, J. and Guillande, R. (1991), Description of the property of self-similarity is called self-affinity for vertical terrain as a fractal surface, and application to digital elevation profiles or for terrain surface itself: model quality assessment. Photogramm. Eng. Remote Sens. 57:1329-1332.
26. Press, W. T., Teukolsky, S. A., Vettering, W. T., and Lannery, B. P. (1990), Numerical Recipes: The Art of Scientific Computing. Cambridge University Press, New York.
27. Rees, D., and Miller, J.-P. (1990), Surface roughness estimation using fractal variogram analysis. In Proceedings of the International Geoscience and Remote Sensing Symposium (IGARSS '90). pp. 1951-1954, 20-24 May, College Park, MD.
28. Ritchie, J.C. (1995), Airborne laser measurements of landscape topography. Remote Sens. Environ. 53:91-96.
29. Roach, D. E., and Fowler, A. D. (1993), Dimensionality analysis of patterns: fractal measurements. Comput, and Geosci. 19:849-869.
30. Russ, J. C. (1994), Fractal Surfaces, Plenum Press, New York.
31. Shepard, M.K., Brackett, R. A., and Arvidson, R. E. (1995), Self-affine (fractal) topography: surface parameterization and radar scattering. J. Geophys. Res. 100:11,709-11,718.
32. Talibuddin, S., and Runt, J. P. (1994), Reliability test of popular fractal techniques applied to small two-dimensional self-affine data sets. J. Appl. Phys. 76:5070-5078.
33. Turcotte, D. L. (1992), Fractals and Chaos in Geology and Geophysics. Cambridge University Press, Cambridge, UK.
34. Whitmore, A. P. (1991), A method for assessing the goodness of computer simulation of soil processes. J. Soil Sci. 42:289-299.
35. Williams, J. M., and Beebe, T. R. Jr. (1993), Analysis of fractal surfaces using scanning probe microscopy and multiple image variography 2: results on fractal and non-fractal surfaces, observation of fractal crossovers, and comparison with other fractal techniques. J. Phys. Chem. 97:6255-6260.
36. Yokoya, N., Yamamoto, K., and Funakuro, N. (1989), Fractal-based analysis and interpolation of 3D natural surface shapes and their application to terrain modeling. Comput. Vision Graphics Image Process. 46:284-302.