setManifold: Set a S4 manifold object

In FieldSim: Random Fields (and Bridges) Simulations

Description

The function sets an object of class manifold.

Usage

setManifold(name,atlas,gridtype,distance,origin)

Arguments

name	name of the manifold (type character);
atlas	atlas of the manifold (type matrix);
gridtype	is the grid type (a character string) to plotting;
distance	distance on the manifold (type function);
origin	origin of the manifold (type matrix).

Value

An object of class manifold with the 5 slots name, atlas, gridtype, distance and origin.

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

setProcess.

Examples

# Load FieldSim library
library(FieldSim)

# Example 1: User manifold
name1<-"plane1"
mesh<-seq(from=0,to=1,length=16)
atlas1<-rbind(rep(mesh,each=16),rep(mesh,16))
d1<-function(xi,xj){return(sqrt(t(xi-xj)%*%(xi-xj)))}
origin1<-rbind(0,0)
manifold1<-setManifold(name=name1, atlas=atlas1, distance=d1, origin=origin1)
str(manifold1)

#Example 2: The "line" manifold
line<-setManifold("line")
str(line)

#Example 3: The "plane" manifold
plane<-setManifold("plane")
str(plane)

#Example 4: The "sphere" manifold
sphere<-setManifold("sphere")
str(sphere)

#Example 5: The "hyperboloid" manifold
hyper<-setManifold("hyperboloid")
str(hyper)

Example output

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 
Formal class 'manifold' [package "FieldSim"] with 5 slots
  ..@ name    : chr "plane1"
  ..@ atlas   : num [1:2, 1:256] 0 0 0 0.0667 0 ...
  ..@ gridtype: chr "user"
  ..@ distance:function (xi, xj)  
  ..@ origin  : num [1:2, 1] 0 0
Formal class 'manifold' [package "FieldSim"] with 5 slots
  ..@ name    : chr "line"
  ..@ atlas   : num [1, 1:257] 0 1 0.5 0.25 0.75 0.125 0.375 0.625 0.875 0.0625 ...
  ..@ gridtype: chr "visualization"
  ..@ distance:function (xi, xj)  
  ..@ origin  : num [1, 1] 0
Formal class 'manifold' [package "FieldSim"] with 5 slots
  ..@ name    : chr "plane"
  ..@ atlas   : num [1:2, 1:289] 0 0 0 1 1 0 1 1 0.5 0.5 ...
  ..@ gridtype: chr "visualization"
  ..@ distance:function (xi, xj)  
  ..@ origin  : num [1:2, 1] 0 0
Formal class 'manifold' [package "FieldSim"] with 5 slots
  ..@ name    : chr "sphere"
  ..@ atlas   : num [1:3, 1:600] -0.74 -0.74 NaN -0.74 -0.576 ...
  ..@ gridtype: chr "visualization"
  ..@ distance:function (xi, xj)  
  ..@ origin  : num [1:3, 1] 1 0 0
Formal class 'manifold' [package "FieldSim"] with 5 slots
  ..@ name    : chr "hyperboloid"
  ..@ atlas   : num [1:3, 1:256] -3 -3 4.36 -3 -2.6 ...
  ..@ gridtype: chr "visualization"
  ..@ distance:function (xi, xj)  
  ..@ origin  : num [1:3, 1] 0 0 1

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