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rotations (version 1.5)

Tools for Working with Rotation Data

Description

Tools for working with rotational data, including simulation from the most commonly used distributions on SO(3), methods for different Bayes, mean and median type estimators for the central orientation of a sample, confidence/credible regions for the central orientation based on those estimators and a novel visualization technique for rotation data. Most recently, functions to identify potentially discordant (outlying) values have been added.

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Install

install.packages('rotations')

Monthly Downloads

277

Version

1.5

License

MIT + file LICENSE

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Maintainer

Bryan Stanfill

Last Published

January 6th, 2016

Functions in rotations (1.5)

discord

Measure of Discord
gradient.search

Gradient optimization for rotation data
as.SO3

Rotation matrices
Fisher

The matrix-Fisher distribution
region

Confidence and credible regions for the central orientation
cayley.kappa

Circular variance and concentration parameter
fisher.kappa

Circular variance and concentration parameter
bayes.mean

Parameter estimates based on non-informative Bayes
Haar

Uniform distribution
Q4-class

Q4 class.
log.SO3

Rotation logarithm
rotdist.sum

Sample distance
as.Q4

Quaternions
weighted.mean.SO3

Weighted mean rotation
Arithmetic

Arithmetic operators on SO(3)
prentice

Transformation based asymptotic confidence region
UARS

Generic UARS Distribution
mis.angle

Misorientation angle
skew.exp

Matrix exponential
rot.dist

Rotational distance
mis.axis

Misorientation axis
Angular-distributions

Angular distributions
bayesCR

Bayes credible regions
Cayley

The symmetric Cayley distribution
chang

M-estimator asymptotic confidence region
drill

Drill data set
genR

Generate rotations
mean.SO3

Mean rotation
pointsXYZ

Project rotation data onto sphere
plot.SO3

Visualizing random rotations
rotations

A package for working with rotation data.
center

Center rotation data
MCMCSO3

MCMC for rotation data
zhang

M-estimator theory pivotal bootstrap confidence region
vmises.kappa

Circular variance and concentration parameter
Maxwell

The modified Maxwell-Boltzmann distribution
fisheretal

Transformation based pivotal bootstrap confidence region
median.SO3

Median rotation
Mises

The circular-von Mises distribution
nickel

Nickel electron backscatter diffraction data set
SO3-class

SO3 class.
maxwell.kappa

Circular variance and concentration parameter
project.SO3

Projection into SO(3)