Description Usage Arguments Details Author(s) References See Also Examples

The function `setAtlas`

constructs usual grids on manifold.

1 | ```
setAtlas(object,gridtype,Ng)
``` |

`object` |
a object of class process or manifold; |

`gridtype` |
the type of the grid, possible choice |

`Ng` |
parameter of the size of the grid, see details. |

We list here the different implemented grids. For
`[email protected]=="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 `[email protected]=="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 `[email protected]=="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)

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

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

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 | ```
# 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)
``` |

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