The fractal properties of topography: A comparison of methods

Earth Surface Processes and Landforms

Volumn 17, Issue 3, 1992, Pages 217-234

  Klinkenberg, B ^a   Goodchild, M F ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Digital elevation models; Dividers method; Fractals; Landsurface parameterization; Variograms

Indexed keywords

DEM; DIVIDERS METHOD; FRACTAL PROPERTY; LAND SURFACE PARAMETERISATION; TOPOGRAPHY; VARIOGRAM;

EID: 0026483699     PISSN: 01979337     EISSN: 10969837     Source Type: Journal    
DOI: 10.1002/esp.3290170303     Document Type: Article

References (65)

1. Recent developments in geomathematics
2. Local relief and the height limits of mountain ranges
3. Fractal techniques and the surface roughness of talus slopes
4. Fractal techniques and the surface roughness of talus slopes: Reply
5. On the fractal dimensions of some transient soil properties
6. Fractal analysis applied to characteristic segments of the San Andreas fault
7. Determination of optimum sampling interval in grid Digital Elevation Models (DEM) data acquisition
8. The fractal simulation of urban structure
9. A note on the description of surface roughness using fractal dimension
10. Three techniques for implementing digital fractal analysis of particle shape
11. Robust estimation of the variogram: I
12. Highly erratic spatial variability of soil‐pH on Iping Common, West Sussex
13. The fractal geometry of the soil‐covered landscape
14. USGS digital cartographic standards: Digital Elevation Models
15. General geomorphometry, derivatives of altitude, and descriptive statistics
16. Quantitative methods for analyzing the roughness of the seafloor
17. Evaluation of methods of area measurement
18. Are topographic data sets fractal?
19. Fractals and the accuracy of geographical measures
20. The fractional Brownian process as a terrain simulation model
21. The fractal nature of geographic phenomena
22. The length of closed geomorphic lines
23. Analysis of properties in land form geography: An application to broad‐scale landform mapping
24. Surface roughness in topography: a quantitative approach
25. Fractal mapping of digitized images: Application to the topography of Arizona and comparisons with synthetic images
26. An index of littoral zone complexity and its measurement
27. Generalized scale invariance in the atmosphere and fractal models of rain
28. How long is a piece of string?
29. How long is the coast of Britain? Statistical self‐similarity and fractional dimension
30. Stochastic models for the Earth's relief, the shape and the fractal dimension of coastlines, and the number‐area rule for islands
31. Fractional Brownian motions, fractional noises and applications
32. Geomorphometric parameters: a review and evaluation
33. Scale‐dependent fractal dimensions of topographic surfaces: an empirical investigation, with applications in geomorphology
34. Choosing functions for semi‐variograms of soil properties and fitting them to sampling estimates
35. Measuring the fractal geometry of landscapes
36. Fractal dimension and inconsistencies in cartographic line representations
37. Cascade model for fluvial geomorphology
38. Fractal‐based description of natural scenes
39. The problem of contiguity: an appendix to “Statistics of deadly quarrels”
40. Introduction
41. The implementation of the concept of fractal dimension on a semi‐automatic image analyser
42. Fractal dimensions of rainbands over hilly terrain
43. Fractal sinuosity of stream channels
44. Hypsometric (area‐altitude) analysis of erosional topography
45. Big rills have little rills.
46. Fractals and the geosciences: introduction
47. Fractal surfaces in porous media
48. Fractal‐based analysis and interpolation of 3D natural surface shapes and their application to terrain modeling