anisotropy_profile: Anisotropy profile for given diagonal transformations

In antiphon/Kdirectional: Analysis of anisotropy in point patterns using second order statistics

Anisotropy profile for given diagonal transformations

Description

Compares the directed sector-K functions along main axes.

Usage

anisotropy_profile(
  x,
  grid,
  r,
  verb = FALSE,
  eps = pi/4,
  border = TRUE,
  antipodal = TRUE,
  power = 2,
  ...
)

Arguments

x	point pattern
grid	p x dim matrix giving the diagonals of the candidate transformations
r	vector of range values to sum over ('integration nodes')
verb	verbose?
eps	Sector angle
border	Border correction? Should use this unless the data is large.
antipodal	Use antipodally symmetric estimation of sector-K?
power	Power of the differences, absolute value for power=1.
...	not used

Details

For each v in grid, transform x -> T(v)x and summarize anisotropy by absolute integral difference in x-y-z-directed K-functions.

The transformations T(v) are given by diagonal vector v, rows of parameter grid.

We assume that no rotation is present, or that rotation is already corrected for, so that squared difference sums of the directed sector-K functions along main axes should indicate the optimal v.

antiphon/Kdirectional documentation built on Feb. 13, 2023, 6:26 a.m.