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  4. Extrapolating the Fractal Characteristics of an Image Using Scale-Invariant Multiple-Point Statistics
 
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Extrapolating the Fractal Characteristics of an Image Using Scale-Invariant Multiple-Point Statistics

Auteur(s)
Mariethoz, Grégoire 
Centre d'hydrogéologie et de géothermie 
Renard, Philippe 
Centre d'hydrogéologie et de géothermie 
Straubhaar, Julien 
Centre d'hydrogéologie et de géothermie 
Date de parution
2011-10
In
MATHEMATICAL GEOSCIENCES
Vol.
7
No
43
De la page
783
A la page
797
Mots-clés
  • Geostatistics
  • Multiple-point
  • Zooming
  • Resolution
  • Scale invariance
  • Fractal
  • Geostatistics

  • Multiple-point

  • Zooming

  • Resolution

  • Scale invariance

  • Fractal

Résumé
The resolution of measurement devices can be insufficient for certain purposes. We propose to stochastically simulate spatial features at scales smaller than the measurement resolution. This is accomplished using multiple-point geostatistical simulation (direct sampling in the present case) to interpolate values at the target scale. These structures are inferred using hypothesis of scale invariance and stationarity on the spatial patterns found at the coarse scale. The proposed multiple-point super-resolution mapping method is able to deal with "both continuous and categorical variables", and can be extended to multivariate problems. The advantages and limitations of the approach are illustrated with examples from satellite imaging.
Identifiants
https://libra.unine.ch/handle/123456789/18479
_
10.1007/s11004-011-9362-5
Type de publication
journal article
Dossier(s) à télécharger
 main article: 2023-01-10_110_3488.pdf (956.27 KB)
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