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rotations (version 1.0)

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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Version

Install

install.packages('rotations')

Monthly Downloads

276

Version

1.0

License

MIT + file LICENSE

Maintainer

Bryan Stanfill

Last Published

January 28th, 2014

Functions in rotations (1.0)

drill

Drill data set
log.SO3

Rotation logarithm
genR

Generate rotations
Cayley

The symmetric Cayley distribution
Mises

The circular-von Mises distribution
rotations

A package for working with rotation data.
Haar

Uniform distribution
weighted.mean.SO3

Weighted mean rotation
plot.SO3

Visualizing random rotations.
vmises.kappa

Circular variance and concentration parameter
Fisher

The matrix-Fisher distribution
bayesCR

Bayes credible regions
gradient.search

Gradient optimization for rotation data
cayley.kappa

Circular variance and concentration parameter
as.SO3

Rotation matrices
median.SO3

Median rotation
bayes.mean

Parameter estimates based on non-informative Bayes
region

Confidence and credible regions for the central orientation
pointsXYZ

Project rotation data onto sphere
center

Center rotation data
UARS

Generic UARS Distribution
SO3-class

SO3 class.
zhang

M-estimator theory pivotal bootstrap confidence region
rot.dist

Rotational distance
Q4-class

Q4 class.
rotdist.sum

Sample distance
chang

M-estimator theory confidence region
project.SO3

Projection into SO(3)
skew.exp

Matrix exponential
fisher.kappa

Circular variance and concentration parameter
prentice

Eigenvector theory confidence region
mis.axis

Misorientation axis
fisheretal

Eigenvector theory pivotal bootstrap confidence region
mean.SO3

Mean rotation
as.Q4

Quaternions
Arithmetic

Arithmetic operators on SO(3)
mis.angle

Misorientation angle
nickel

Nickel electron backscatter diffraction data set
Angular-distributions

Angular distributions
MCMCSO3

MCMC for rotation data