Lambert's equal area projection

Description

It calculates the Lambert's equal area projection.

Usage

lambert(y)

Arguments

Details

The spherical data are first rotated so that their mean direction is the north pole and then are projectedt on the plane tagent to the sphere at the north pole.

Value

A two-column matrix with the projected points.

Author(s)

Michail Tsagris

R implementation and documentation: Michail Tsagris <mtsagris@yahoo.gr> and Giorgos Athineou <athineou@csd.uoc.gr>

References

Kent, John T. (1982). The Fisher-Bingham distribution on the sphere. Journal of the Royal Statistical Society. Series B (Methodological) 44(1):71-80.

See Also

euclid, lambert.inv

Examples

x <- rvmf(100, rnorm(3), 20)
x <- euclid.inv(x)
a <- lambert(x)
plot(a)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(Directional)
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/Directional/lambert.Rd_%03d_medium.png", width=480, height=480)
> ### Name: lambert
> ### Title: Lambert's equal area projection
> ### Aliases: lambert
> ### Keywords: Lambert's equal area projection Spherical data
> 
> ### ** Examples
> 
> x <- rvmf(100, rnorm(3), 20)
> x <- euclid.inv(x)
> a <- lambert(x)
> plot(a)
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>