Description Usage Arguments Details Value Author(s) References See Also Examples
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)
|
Loading required package: rgl
Loading required package: RColorBrewer
Warning messages:
1: In rgl.init(initValue, onlyNULL) : RGL: unable to open X11 display
2: 'rgl_init' failed, running with rgl.useNULL = TRUE
3: .onUnload failed in unloadNamespace() for 'rgl', details:
call: fun(...)
error: object 'rgl_quit' not found
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