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rotations (version 0.2)

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

277

Version

0.2

License

MIT + file LICENSE

Maintainer

Bryan Stanfill

Last Published

December 10th, 2013

Functions in rotations (0.2)

Haar

Uniform distribution on $SO(3)$
log.SO3

Rotation logarithm
axis

Misorientation axis
exp_skew

Matrix exponential
median.SO3

Median rotation
Mises

The circular-von Mises distribution
bayesCR

Bayes credible regions
project.SO3

Projection into SO(3)
genR

Generate rotations
Q4-class

Q4 class.
mean.SO3

Mean rotation
fisheretal

Eigenvector theory pivotal bootstrap confidence region
zhang

M-estimator theory pivotal boostrap confidence region
Cayley

The symmetric Cayley distribution
Arithmetic

Arithmetic operators on SO(3)
Fisher

The matrix-Fisher distribution
Q4

Quaternions
SO3-class

SO3 class.
vmises_kappa

Circular variance and concentration parameter
UARS

Generic UARS Distribution
plot.SO3

Visualizing random rotations.
fisher_kappa

Circular variance and concentration parameter
gradient.search

Gradient optimization for rotation data
cayley_kappa

Circular variance and concentration parameter
prentice

Eigenvector theory confidence region
drill

Drill data set
region

Confidence and creible regions for the central orientation
package-rotations

A package for working with rotaional data.
nickel

Nickel electron backscatter diffraction data set
dist

Rotational distance
pointsXYZ

Project rotation data onto sphere
bayes.mean

Parameter estimates based on non-informative Bayes
sum_dist

Sample distance
MCMCSO3

MCMC for rotation data
chang

M-estimator theory confidence region
Angular-distributions

Angular distributions
center

Center rotation data
SO3

Rotation matrices
angle

Misorientation angle
weighted.mean.SO3

Weighted mean rotation