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Proceedings Paper

Terrain texture synthesis with an extended self-similar model
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Paper Abstract

We propose a new method for terrain texture synthesis by using a generalized two dimensional fractional Brownian motion (fBm) model called the extended self-similar (ESS) process. The utility of 2-D fBm for terrain texture modeling has been examined by some researchers. Although the fBm may provide a good model for landscapes for some scales, it will not capture the behavior of the terrain at all scales. We introduce the ESS process to model terrains at all scales where the parameters of the ESS model provide a multiscale roughness representation of the landscape. Specifically, we define a generalized Hurst parameter which changes with respect to scales. To validate the usefulness of the new model, we show how to estimate the generalized Hurst parameters from 2-D data and how to synthesize an ESS process. The generation method is based on Fourier synthesis of the stationary ESS increments, and the algorithm has a complexity of O[N2 log(N)] for an image of size N X N. Then, we demonstrate the relation between the generalized Hurst parameter and visual roughness through examples of synthesized images. Finally, we examine the ability of the ESS process to render real terrain data.

Paper Details

Date Published: 7 April 1995
PDF: 12 pages
Proc. SPIE 2410, Visual Data Exploration and Analysis II, (7 April 1995); doi: 10.1117/12.205974
Show Author Affiliations
Lance M. Kaplan, Univ. of Southern California (United States)
C.-C. Jay Kuo, Univ. of Southern California (United States)

Published in SPIE Proceedings Vol. 2410:
Visual Data Exploration and Analysis II
Richard N. Ellson; Georges G. Grinstein; Robert F. Erbacher, Editor(s)

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