Scale-Based Simulation of Topographic Relief

An invertible model is proposed which uses the basis of scale-independence and scale-dependence to capture some of the essential cartographic elements of topographic relief. The model, which uses F...

[1]  Alex Pentland,et al.  Fractal-Based Description of Natural Scenes , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[2]  D. Mark,et al.  Scale-dependent fractal dimensions of topographic surfaces: An empirical investigation, with applications in geomorphology and computer mapping , 1984 .

[3]  David H. Douglas.  EXPERIMENTS TO LOCATE RIDGES AND CHANNELS TO CREATE A NEW TYPE OF DIGITAL ELEVATION MODEL , 1987 .

[4]  Raymond A. Christopher,et al.  FOURIER SERIES AS A QUANTITATIVE DESCRIPTOR OF MIOSPORE SHAPE , 1974 .

[5]  Harold Moellering,et al.  The Harmonic Analysis of Spatial Shapes Using Dual Axis Fourier Shape Analysis (DAFSA) , 1981 .

[6]  K. Clarke.  Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method , 1985 .

[7]  B. Mandelbrot.  How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension , 1967, Science.

[8]  Harold Moellering,et al.  Measuring the Fractal Dimensions of Empirical Cartographic Curves , 1982 .

[9]  P. Burrough.  Fractal dimensions of landscapes and other environmental data , 1981, Nature.

[10]  L. Band.  Topographic Partition of Watersheds with Digital Elevation Models , 1986 .

[11]  C. Chatfield,et al.  Fourier Analysis of Time Series: An Introduction , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[12]  Chris Chatfield,et al.  The Analysis of Time Series: An Introduction , 1981 .

[13]  I. Gibson.  Statistics and Data Analysis in Geology , 1976, Mineralogical Magazine.