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rotations (version 1.1)

Tools for Working with Rotation Data

Description

This package implements tools for working with rotational data: it allows simulation from the most commonly used distributions on SO(3), it includes methods for different Bayes, mean and median type estimators for the central orientation of a sample, it provides confidence and credible regions for the central orientation based on those estimators and it includes a novel visualization technique for rotation data.

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Install

install.packages('rotations')

Monthly Downloads

261

Version

1.1

License

MIT + file LICENSE

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Maintainer

Bryan Stanfill

Last Published

February 23rd, 2014

Functions in rotations (1.1)

Fisher

The matrix-Fisher distribution
bayes.mean

Parameter estimates based on non-informative Bayes
UARS

Generic UARS Distribution
as.SO3

Rotation matrices
Arithmetic

Arithmetic operators on SO(3)
genR

Generate rotations
log.SO3

Rotation logarithm
MCMCSO3

MCMC for rotation data
pointsXYZ

Project rotation data onto sphere
median.SO3

Median rotation
Mises

The circular-von Mises distribution
rot.dist

Rotational distance
plot.SO3

Visualizing random rotations
Cayley

The symmetric Cayley distribution
center

Center rotation data
weighted.mean.SO3

Weighted mean rotation
mean.SO3

Mean rotation
Angular-distributions

Angular distributions
as.Q4

Quaternions
Q4-class

Q4 class.
zhang

M-estimator theory pivotal bootstrap confidence region
rotations

A package for working with rotation data.
fisheretal

Transformation based theory pivotal bootstrap confidence region
skew.exp

Matrix exponential
mis.axis

Misorientation axis
project.SO3

Projection into SO(3)
SO3-class

SO3 class.
bayesCR

Bayes credible regions
fisher.kappa

Circular variance and concentration parameter
Haar

Uniform distribution
drill

Drill data set
nickel

Nickel electron backscatter diffraction data set
region

Confidence and credible regions for the central orientation
chang

M-estimator theory confidence region
mis.angle

Misorientation angle
rotdist.sum

Sample distance
prentice

Transformation based theory confidence region
gradient.search

Gradient optimization for rotation data
cayley.kappa

Circular variance and concentration parameter
vmises.kappa

Circular variance and concentration parameter