setAtlas: Construct usual grids on some specific manifolds

In FieldSim: Random Fields (and Bridges) Simulations

Description

The function setAtlas constructs usual grids on manifold.

Usage

setAtlas(object,gridtype,Ng)

Arguments

object	a object of class process or manifold;
gridtype	the type of the grid, possible choice "regular", "random" or "visualization";
Ng	parameter of the size of the grid, see details.

Details

We list here the different implemented grids. For manifold@name=="plane" we have the gridtype=="regular" grid (with the parameter Ng returns a regular grid on [0,1]x[0,1] of size Ng*Ng), the gridtype=="random" grid (uniform random choice of the both coordinates on [0,1], grid of size Ng*Ng) and the gridtype=="visualization" grid, of size (2^Ng +1)*(2^Ng +1) composed of regular refinments.

For manifold@name=="sphere", we have the following grids: there isn't exist gridtype=="regular" grid for a sphere, but a gridtype=="random" grid (uniform density sample on the sphere of size Ng*Ng) and a gridtype=="visualization" grid (sphere-visualization grid on the sphere of size 6*Ng*Ng, union of the 6 domains centered around one of the 6 triply orthogonal poles, each domain are composed of the heights on the sphere (when they exists) corresponding to the regular mesh [-3/4,3/4]x[-3/4,3/4] of the others two cartesian coordinates).

Finally, for manifold@name=="hyperboloid" we have: no gridtype=="regular" grid on the hyperboloid, but a gridtype=="random" grid (uniform density sample on the sphere of size Ng*Ng) and a gridtype=="visualization" grid (hyperboloid-vizualisation grid of size Ng*Ng, a domain of composed of the height of the hyperboloid corresponding to the regular mesh [-3,3]x[-3,3] of the other two cartesian coordinates)

Author(s)

Alexandre Brouste (http://perso.univ-lemans.fr/~abrouste/) and Sophie Lambert-Lacroix (http://membres-timc.imag.fr/Sophie.Lambert/).

References

A. Brouste, J. Istas and S. Lambert-Lacroix (2010). On simulation of manifold indexed fractional Gaussian fields.

See Also

fieldsim.

Examples

# Load FieldSim library
library(FieldSim)

# Example on the line manifold

line<-setManifold("line")
str(line)

setAtlas(line,"regular",200)
str(line)

#Example on the fractional Brownian motion

line.fBm<-setProcess("fBm-line",0.7)
str(line.fBm)

setAtlas(line.fBm,"regular",200)
str(line.fBm)

setAtlas(line.fBm,"random",100)
str(line.fBm)

setAtlas(line.fBm,"finer",9)
str(line.fBm)

setAtlas(line.fBm,"visualization",9)
str(line.fBm)

FieldSim documentation built on May 1, 2019, 10:32 p.m.