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rotations (version 1.3)

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

351

Version

1.3

License

MIT + file LICENSE

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Maintainer

Bryan Stanfill

Last Published

December 16th, 2014

Functions in rotations (1.3)

SO3-class

SO3 class.
as.Q4

Quaternions
gradient.search

Gradient optimization for rotation data
mis.angle

Misorientation angle
plot.SO3

Visualizing random rotations
cayley.kappa

Circular variance and concentration parameter
rotations

A package for working with rotation data.
rotdist.sum

Sample distance
UARS

Generic UARS Distribution
bayes.mean

Parameter estimates based on non-informative Bayes
skew.exp

Matrix exponential
prentice

Transformation based asymptotic confidence region
MCMCSO3

MCMC for rotation data
region

Confidence and credible regions for the central orientation
genR

Generate rotations
Angular-distributions

Angular distributions
fisheretal

Transformation based pivotal bootstrap confidence region
fisher.kappa

Circular variance and concentration parameter
vmises.kappa

Circular variance and concentration parameter
mean.SO3

Mean rotation
discord

Measure of Discord
pointsXYZ

Project rotation data onto sphere
project.SO3

Projection into SO(3)
log.SO3

Rotation logarithm
median.SO3

Median rotation
weighted.mean.SO3

Weighted mean rotation
Mises

The circular-von Mises distribution
center

Center rotation data
Fisher

The matrix-Fisher distribution
Arithmetic

Arithmetic operators on SO(3)
zhang

M-estimator theory pivotal bootstrap confidence region
bayesCR

Bayes credible regions
Haar

Uniform distribution
mis.axis

Misorientation axis
rot.dist

Rotational distance
Cayley

The symmetric Cayley distribution
as.SO3

Rotation matrices
chang

M-estimator asymptotic confidence region
Q4-class

Q4 class.
drill

Drill data set
nickel

Nickel electron backscatter diffraction data set