fmf: First Minkowski functional

In frycast/rcosmo: Cosmic Microwave Background Data Analysis

First Minkowski functional

Description

This function returns an area of the spherical region where measured values are above of the specified threshold level alpha.

Usage

fmf(cmbdf, alpha, intensities = "I")

Arguments

cmbdf	A CMBDataFrame.
alpha	A numeric threshold level.
intensities	A CMBDataFrame column with measured values.

Value

The area of the exceedance region

References

Leonenko N., Olenko A. (2014) Sojourn measures of Student and Fisher-Snedecor random fields. Bernoulli, 20:1454-1483.

Examples

n <- 64
cmbdf <- CMBDataFrame(nside=n, I = rnorm(12*n^2),
                      coords = "cartesian",
                      ordering = "nested")
fmf(cmbdf, 0, 4)
fmf(cmbdf, 2, 4)

win <- CMBWindow(theta = c(0,pi/2,pi/2), phi = c(0,0,pi/2))
cmbdf.win <- window(cmbdf, new.window = win)
fmf(cmbdf.win, 0, 4)

frycast/rcosmo documentation built on Oct. 11, 2022, 5:21 p.m.