# Working with Rotation Data

## Documentation for package ‘rotations’ version 1.6.4

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

A B C D F G H I L M N P Q R S T U V W Z misc

## -- A --

Angular-distributions | Angular distributions
Arithmetic | Arithmetic operators on SO(3)
as.Q4 | 'Q4' class for storing rotation data as quaternions
as.Q4.data.frame | 'Q4' class for storing rotation data as quaternions
as.Q4.default | 'Q4' class for storing rotation data as quaternions
as.Q4.Q4 | 'Q4' class for storing rotation data as quaternions
as.Q4.SO3 | 'Q4' class for storing rotation data as quaternions
as.SO3 | 'SO3' class for storing rotation data as rotation matrices
as.SO3.data.frame | 'SO3' class for storing rotation data as rotation matrices
as.SO3.default | 'SO3' class for storing rotation data as rotation matrices
as.SO3.Q4 | 'SO3' class for storing rotation data as rotation matrices
as.SO3.SO3 | 'SO3' class for storing rotation data as rotation matrices

## -- B --

bayes.mean | Parameter estimates based on non-informative Bayes
bayes.mean.Q4 | Parameter estimates based on non-informative Bayes
bayes.mean.SO3 | Parameter estimates based on non-informative Bayes
bayesCR | Bayes credible regions
bayesCR.Q4 | Bayes credible regions
bayesCR.SO3 | Bayes credible regions

## -- C --

Cayley | The symmetric Cayley distribution
cayley.kappa | Circular variance and concentration parameter
center | Center rotation data
center.Q4 | Center rotation data
center.SO3 | Center rotation data
chang | M-estimator asymptotic confidence region
chang.Q4 | M-estimator asymptotic confidence region
chang.SO3 | M-estimator asymptotic confidence region

## -- D --

dcayley | The symmetric Cayley distribution
dfisher | The matrix-Fisher distribution
dhaar | Uniform distribution
discord | Measure of Discord
dmaxwell | The modified Maxwell-Boltzmann distribution
drill | Drill data set
duars | Generic UARS Distribution
dvmises | The circular-von Mises distribution

## -- F --

Fisher | The matrix-Fisher distribution
fisher.kappa | Circular variance and concentration parameter
fisheretal | Transformation based pivotal bootstrap confidence region
fisheretal.Q4 | Transformation based pivotal bootstrap confidence region
fisheretal.SO3 | Transformation based pivotal bootstrap confidence region

## -- G --

genR | Generate rotations
gradient.search | Gradient optimization for rotation data

## -- H --

Haar | Uniform distribution
head | Return the First or Last Parts of an Object
head.Q4 | Return the First or Last Parts of an Object
head.SO3 | Return the First or Last Parts of an Object

## -- I --

id.Q4 | 'Q4' class for storing rotation data as quaternions
id.SO3 | 'SO3' class for storing rotation data as rotation matrices
is.Q4 | 'Q4' class for storing rotation data as quaternions
is.SO3 | 'SO3' class for storing rotation data as rotation matrices

## -- L --

log.SO3 | Rotation logarithm

## -- M --

Maxwell | The modified Maxwell-Boltzmann distribution
maxwell.kappa | Circular variance and concentration parameter
MCMCSO3 | MCMC for rotation data
MCMCSO3.Q4 | MCMC for rotation data
MCMCSO3.SO3 | MCMC for rotation data
mean | Mean rotation
mean.Q4 | Mean rotation
mean.SO3 | Mean rotation
median | Median rotation
median.Q4 | Median rotation
median.SO3 | Median rotation
mis.angle | Misorientation angle
mis.angle.Q4 | Misorientation angle
mis.angle.SO3 | Misorientation angle
mis.axis | Misorientation axis
mis.axis.Q4 | Misorientation axis
mis.axis.SO3 | Misorientation axis
Mises | The circular-von Mises distribution

## -- N --

nickel | Nickel electron backscatter diffraction data set

## -- P --

pcayley | The symmetric Cayley distribution
pfisher | The matrix-Fisher distribution
phaar | Uniform distribution
plot | Visualizing random rotations
plot.Q4 | Visualizing random rotations
plot.SO3 | Visualizing random rotations
pmaxwell | The modified Maxwell-Boltzmann distribution
pointsXYZ | Project rotation data onto sphere
prentice | Transformation based asymptotic confidence region
prentice.Q4 | Transformation based asymptotic confidence region
prentice.SO3 | Transformation based asymptotic confidence region
project.SO3 | Projection into SO(3)
puars | Generic UARS Distribution
pvmises | The circular-von Mises distribution

## -- Q --

Q4 | 'Q4' class for storing rotation data as quaternions

## -- R --

rcayley | The symmetric Cayley distribution
region | Confidence and credible regions for the central orientation
region.Q4 | Confidence and credible regions for the central orientation
region.SO3 | Confidence and credible regions for the central orientation
rfisher | The matrix-Fisher distribution
rhaar | Uniform distribution
rmaxwell | The modified Maxwell-Boltzmann distribution
rot.dist | Rotational distance
rot.dist.Q4 | Rotational distance
rot.dist.SO3 | Rotational distance
rotations | A package for working with rotation data.
rotdist.sum | Sample distance
rotdist.sum.Q4 | Sample distance
rotdist.sum.SO3 | Sample distance
ruars | Generic UARS Distribution
rvmises | The circular-von Mises distribution

## -- S --

skew.exp | Matrix exponential
SO3 | 'SO3' class for storing rotation data as rotation matrices

## -- T --

tail | Return the First or Last Parts of an Object
tail.Q4 | Return the First or Last Parts of an Object
tail.SO3 | Return the First or Last Parts of an Object

## -- U --

UARS | Generic UARS Distribution

## -- V --

vmises.kappa | Circular variance and concentration parameter

## -- W --

weighted.mean | Weighted mean rotation
weighted.mean.Q4 | Weighted mean rotation
weighted.mean.SO3 | Weighted mean rotation

## -- Z --

zhang | M-estimator theory pivotal bootstrap confidence region
zhang.Q4 | M-estimator theory pivotal bootstrap confidence region
zhang.SO3 | M-estimator theory pivotal bootstrap confidence region

## -- misc --

"+.Q4" | Arithmetic operators on SO(3)
"+.SO3" | Arithmetic operators on SO(3)
"-.Q4" | Arithmetic operators on SO(3)
"-.SO3" | Arithmetic operators on SO(3)
+.Q4 | Arithmetic operators on SO(3)
+.SO3 | Arithmetic operators on SO(3)
-.Q4 | Arithmetic operators on SO(3)
-.SO3 | Arithmetic operators on SO(3)