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Communication dans un congrès
Terrain modelling with multifractional Brownian motion and self-regulating processes
Abstract : Approximate scale-invariance and local regularity properties of natural terrains suggest that they can be a accurately modeled with random processes which are locally fractal. Current models for terrain modeling include fractional and multifractional Brownian motion. Though these processes have proved useful, they miss an important feature of real terrains: typically, the local regularity of a mountain at a given point is strongly correlated with the height of this point. For instance, young mountains are such that high altitude regions are often more irregular than low altitude ones. We detail in this work the construction of a stochastic process called the Self-Regulated Multifractional Process, whose regularity at each point is, almost surely, a deterministic function of the amplitude. This property makes such a process a versatile and powerful model for real terrains. We demonstrate its use with numerical experiments on several types of mountains.
Littérature citée [9 références]
https://hal.inria.fr/inria-00538907
Contributeur : Lisandro Fermin <>
Soumis le : mercredi 24 novembre 2010 - 09:34:50
Dernière modification le : mercredi 8 avril 2020 - 15:30:25
Document(s) archivé(s) le : vendredi 25 février 2011 - 02:29:55
Contributeur : Lisandro Fermin <>
Soumis le : mercredi 24 novembre 2010 - 09:34:50
Dernière modification le : mercredi 8 avril 2020 - 15:30:25
Document(s) archivé(s) le : vendredi 25 février 2011 - 02:29:55
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mbf_self-regulating.pdf
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