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rotations (version 1.4)

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

261

Version

1.4

License

MIT + file LICENSE

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Maintainer

Bryan Stanfill

Last Published

October 14th, 2015

Functions in rotations (1.4)

as.SO3

Rotation matrices
UARS

Generic UARS Distribution
prentice

Transformation based asymptotic confidence region
bayesCR

Bayes credible regions
genR

Generate rotations
project.SO3

Projection into SO(3)
chang

M-estimator asymptotic confidence region
Haar

Uniform distribution
mean.SO3

Mean rotation
Cayley

The symmetric Cayley distribution
fisher.kappa

Circular variance and concentration parameter
nickel

Nickel electron backscatter diffraction data set
cayley.kappa

Circular variance and concentration parameter
skew.exp

Matrix exponential
gradient.search

Gradient optimization for rotation data
Angular-distributions

Angular distributions
Arithmetic

Arithmetic operators on SO(3)
rotdist.sum

Sample distance
weighted.mean.SO3

Weighted mean rotation
rotations

A package for working with rotation data.
Mises

The circular-von Mises distribution
Q4-class

Q4 class.
pointsXYZ

Project rotation data onto sphere
log.SO3

Rotation logarithm
center

Center rotation data
mis.angle

Misorientation angle
discord

Measure of Discord
plot.SO3

Visualizing random rotations
median.SO3

Median rotation
MCMCSO3

MCMC for rotation data
Maxwell

The modified Maxwell-Boltzmann distribution
Fisher

The matrix-Fisher distribution
drill

Drill data set
maxwell.kappa

Circular variance and concentration parameter
region

Confidence and credible regions for the central orientation
rot.dist

Rotational distance
vmises.kappa

Circular variance and concentration parameter
as.Q4

Quaternions
SO3-class

SO3 class.
bayes.mean

Parameter estimates based on non-informative Bayes
fisheretal

Transformation based pivotal bootstrap confidence region
zhang

M-estimator theory pivotal bootstrap confidence region
mis.axis

Misorientation axis