Abstract
Conditional Fractional Gaussian Fields with the Package FieldSim
Highlights
IntroductionRough phenomena arise in texture simulations for image processing or medical imaging, natural scenes simulations (clouds, mountains) and geophysical morphology modeling, financial mathematics,
Rough phenomena arise in texture simulations for image processing or medical imaging, natural scenes simulations and geophysical morphology modeling, financial mathematics,R R ethernet traffic, etc
We propose here to adapt the FieldSim package to conditional simulations
Summary
Rough phenomena arise in texture simulations for image processing or medical imaging, natural scenes simulations (clouds, mountains) and geophysical morphology modeling, financial mathematics,. This paper is devoted to a simulation method for conditional Gaussian fields. This could improve, in the future, natural scene simulations by fixing for instance the valleys. Our approach, presented in Brouste et al (2007, 2010), is based on a 2-steps method with an exact simulation step plus a refined fast step, that is an improvement of the midpoint method It has been implemented in the FieldSim package (Brouste and Lambert-Lacroix., 2015). The fieldsim simulation method can be applied to general Gaussian processes on general simulation grids (regular and non regular) on Euclidean spaces and even on some manifolds (see Figure 1). Simulations with the package FieldSim are presented in the last section
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