The function `midpoint`

yields simulation of sample path of a fractional Brownian field
by the midpoint displacement method.

1 |

`process` |
an object of class process (namely an FBm). |

The subspace [0,1] x [0,1] is discretized in a regular space discretization of size
*(2^{\code{nblevel}}+1)^2*. At each point of the grid, the fractional Brownian
field is simulated using the midpoint displacement method described for example
in Fournier et al. (1982).

an object of class process with the simulated sample path in the corresponding slot `values`

.

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

A. Fournier, D. Fussel and L. Carpenter (1982) Computer rendering of stochastic model, Communication of the AMC, 25, 371-384.

H.O. Peitgen and D. Saupe (1998) The science of fractal images, Springer-Verlag.

R.F. Voss (1985) Random fractal forgeries. NATO ASI Series, F17, 805-835.

1 2 3 4 5 6 | ```
# load FieldSim library
library(FieldSim)
plane.fBm<-setProcess("fBm-plane",0.9)
midpoint(plane.fBm)
plot(plane.fBm)
``` |

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