A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
The synthesis and rendering of eroded fractal terrains
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Ten lectures on wavelets
Adding Synthetic Detail to Natural Terrain Using a Wavelet Approach
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Estimation of fractal signals from noisy measurements usingwavelets
IEEE Transactions on Signal Processing
Wavelet analysis and synthesis of fractional Brownian motion
IEEE Transactions on Information Theory - Part 2
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Terrain representation is a basic topic in the field of interactive graphics. The amount of data required for a good quality of the terrain offers an important challenge to developers of such systems. For users of these applications, the accuracy of geographical data is generally less important than its natural visual appearance. This makes it possible to maintain a limited geographical database for the system and to extend it generating synthetic data. The evaluation of the intrinsic properties of the terrain (i.e. fractal dimension, roughness, etc.) may be used as the basis for generating extra data accomplishing the same patterns discovered in the actual information. However, it is also interesting to point out that in most natural landscapes, it is usual to have human or natural changes in the basic properties of some areas, i.e. a road or a river. This fact can make it more difficult for synthetic data generation to be free of visual artifacts within these areas. In this paper, we combine fractal and wavelet theories to provide extra data which keeps the natural properties of actual information available. New levels of detail for the terrain are obtained by applying an inverse Wavelet Transform to a set of values randomly generated, thus maintaining the coherence of statistical properties with the original geographical data. Combined with this approach, the use of energy reduction masks has been added in order to avoid undesired visual artifacts in those special areas for which the general terrain properties are no longer valid.