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

Mariethoz, Grégoire ; Renard, Philippe ; Straubhaar, Julien

In: Mathematical Geosciences, 2011, vol. 43, no. 7, p. 783-797

Random partitioning and adaptive filters for multiple-point stochastic simulation

Sharifzadehlari, M ; Fathianpour, N ; Renard, Philippe ; Amirfattahi, R

In: Stochastic Environmental Research and Risk Assessment, 2018, vol. 32, p. 1375-1396

Multiple-point geostatistical simulation is used to simulate the spatial structures of geological phenomena. In contrast to conventional two-point variogram based geostatistical methods, the multiple-point approach is capable of simulating complex spatial patterns, shapes, and structures normally observed in geological media. A commonly used pattern based multiple-point geostatistical simulation...

Reconstruction of Incomplete Data Sets orImages Using Direct Sampling

Mariethoz, Gregoire ; Renard, Philippe

In: Mathematical Geosciences, 2010, vol. 42, no. 3, p. 245-268

Reconstruction of Incomplete Data Sets or Images Using Direct Sampling

Mariethoz, Grégoire ; Renard, Philippe

In: Mathematical Geosciences, 2010, vol. 42, no. 3, p. 245-268

With increasingly sophisticated acquisition methods, the amount of data available for mapping physical parameters in the geosciences is becoming enormous. If the density of measurements is sufficient, significant non-parametric spatial statistics can be derived from the data. In this context, we propose to use and adapt the Direct Sampling multiple-points simulation method (DS) for the...