smooth: QTS Smoothing via SLERP Interpolation

In astamm/squad: Statistics for Quaternion Temporal Data

QTS Smoothing via SLERP Interpolation

Description

This function performs a smoothing of a QTS by SLERP interpolation.

Usage

smooth(x, ...)

## Default S3 method:
smooth(
  x,
  kind = c("3RS3R", "3RSS", "3RSR", "3R", "3", "S"),
  twiceit = FALSE,
  endrule = c("Tukey", "copy"),
  do.ends = FALSE,
  ...
)

## S3 method for class 'qts'
smooth(x, alpha = 0.5, ...)

## S3 method for class 'qts_sample'
smooth(x, alpha = 0.5, ...)

Arguments

x	An object of class qts or qts_sample.
...	Extra arguments passed on to next methods.
kind	a character string indicating the kind of smoother required; defaults to "3RS3R".
twiceit	logical, indicating if the result should be ‘twiced’. Twicing a smoother S(y) means S(y) + S(y - S(y)), i.e., adding smoothed residuals to the smoothed values. This decreases bias (increasing variance).
endrule	a character string indicating the rule for smoothing at the boundary. Either "Tukey" (default) or "copy".
do.ends	logical, indicating if the 3-splitting of ties should also happen at the boundaries (ends). This is only used for kind = "S".
alpha	A numeric value in ⁠[0,1]⁠ specifying the amount of smoothing. The closer to one, the smoother the resulting QTS. Defaults to 0.5.

Value

An object of the same class as the input argument x which is a smooth version of the input QTS.

Examples

smooth(vespa64$igp[[1]])
smooth(vespa64$igp)

astamm/squad documentation built on Jan. 26, 2024, 5:30 p.m.