Working with Rotation Data
Angular distributions
Arithmetic operators on SO(3)
Parameter estimates based on non-informative Bayes
Bayes credible regions
Circular variance and concentration parameter
The symmetric Cayley distribution
Center rotation data
M-estimator asymptotic confidence region
Measure of Discord
Circular variance and concentration parameter
The matrix-Fisher distribution
Transformation based pivotal bootstrap confidence region
Generate rotations
Gradient optimization for rotation data
Uniform distribution
Return the First or Last Parts of an Object
Rotation logarithm
Circular variance and concentration parameter
The modified Maxwell-Boltzmann distribution
MCMC for rotation data
Mean rotation
Median rotation
Misorientation angle
Misorientation axis
The circular-von Mises distribution
Visualizing random rotations
Project rotation data onto sphere
Transformation based asymptotic confidence region
Projection into SO(3)
Q4 class for storing rotation data as quaternions
Confidence and credible regions for the central orientation
Rotational distance
A package for working with rotation data.
Sample distance
Matrix exponential
SO3 class for storing rotation data as rotation matrices
Return the First or Last Parts of an Object
Generic UARS Distribution
Circular variance and concentration parameter
Weighted mean rotation
M-estimator theory pivotal bootstrap confidence region
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. References: Bingham, Melissa A. and Nordman, Dan J. and Vardeman, Steve B. (2009), Bingham, Melissa A and Vardeman, Stephen B and Nordman, Daniel J (2009), Bingham, Melissa A and Nordman, Daniel J and Vardeman, Stephen B (2010), Leon, C.A. and Masse, J.C. and Rivest, L.P. (2006), Hartley, R and Aftab, K and Trumpf, J. (2011), Stanfill, Bryan and Genschel, Ulrike and Hofmann, Heike (2013), Maonton, Jonathan (2004), Mardia, KV and Jupp, PE (2000, ISBN:9780471953333), Rancourt, D. and Rivest, L.P. and Asselin, J. (2000), Chang, Ted and Rivest, Louis-Paul (2001), Fisher, Nicholas I. (1996, ISBN:0521568900).