circles {tdaunif} | R Documentation |
Sample (with noise) from circles
Description
These functions generate uniform and stratified samples from configurations of circles of radius 1 in 2- or 3-dimensional space, optionally with noise.
Usage
sample_circle(n, bins = 1L, sd = 0)
sample_circles_interlocked(n, bins = 1L, sd = 0)
Arguments
n |
Number of observations. |
bins |
Number of intervals to stratify by. Default set to 1, which generates a uniform sample. |
sd |
Standard deviation of (independent multivariate) Gaussian noise. |
Details
The function sample_circle()
uses the usual sinusoidal parameterization
from the unit interval to the unit circle.
The function sample_circles_interlocked()
effectively samples from a pair
of circles and rotates them in 3-dimensional space so that they are
interlocked (perpendicular to each other).
Both functions are length-preserving and admit stratification. If bins = 2
,
the stratification for the latter function will simply be between the two
interlocked circles.
Examples
set.seed(14312L)
# circle in 2-space
x <- sample_circle(120, sd = .1)
plot(x, asp = 1, pch = 19, cex = .5)
# interlocked circles in 3-space
x <- sample_circles_interlocked(120, sd = .1)
pairs(x, asp = 1, pch = 19, cex = .5)