GeoAniso function

Spatial Anisotropy correction

Transforms or back-transforms a set of coordinates according to the geometric anisotropy parameters. UTF-8

GeoAniso(coords, anisopars=c(0,1), inverse = FALSE)

Arguments

• coords: An n x 2 matrix with the coordinates to be transformed.
• anisopars: A bivariate vector with the the anisotropy angle and the anisotropy ratio, respectively. The angle must be given in radians in [0,pi] and the anisotropy ratio must be greater or equal than 1.
• inverse: Logical: Default to FALSE. If TRUE the reverse transformation is performed.

Returns

Returns a matrix of transformed coordinates

Details

Geometric anisotropy is defined by a linear tranformation from the anisotropic space to the isotropic space that is

where X is a matrix with original coordinates (anisotropic space), and Y is a matrix with transformed coordinates (isotropic space). Here R is a rotation matrix with associated anisotropy angle parameter (in $[0,pi]$) and a $S$ is a shrinking matrix with associated anisotropy ratio parameter (greeater or equal than one). The two parameters are specified in the anisopars argument as a bivariate numeric vector. The case $(.,1)$ corresponds to the isotropic case.

Author(s)

Moreno Bevilacqua, moreno.bevilacqua89@gmail.com ,https://sites.google.com/view/moreno-bevilacqua/home, Víctor Morales Oñate, victor.morales@uv.cl , https://sites.google.com/site/moralesonatevictor/, Christian", Caamaño-Carrillo, chcaaman@ubiobio.cl ,https://www.researchgate.net/profile/Christian-Caamano