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 Fourier and fractal methods in combination with local surface operators, is invertible, and is used to simulate topography. The uses of such simulated topography are discussed, as are the advantages of the particular model used. The model is developed mathematically. and seems in its application to produce terrain with some desirable cartographic traits.