habeck.rot: Generation of three-dimensional random rotations using...
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Habeck's rotation matrix generation R Documentation
Generation of three-dimensional random rotations using Habeck's algorithm.
Description
It generates random rotations in three-dimensional space that follow a probability distribution,
matrix Fisher distribution, arising in fitting and matching problem.
Usage
habeck.rot(F)
Arguments
F
An arbitrary 3 x 3 matrix represents the parameter matrix of this distribution.
Details
Firstly rotation matrices X are chosen which are the closest to F, and then parameterized using euler angles.
Then a Gibbs sampling algorithm is implemented to generate rotation matrices from the resulting disribution of
the euler angles.
Value
A simulated rotation matrix.
Author(s)
Anamul Sajib.
R implementation and documentation: Anamul Sajib <sajibstat@du.ac.bd>.
References
Habeck M (2009). Generation of three-dimensional random rotations in fitting and matching problems. Computational Statistics, 24, 719–731.
Examples
F <- 10^(-1) * matrix( c(85, 11, 41, 78, 39, 60, 43, 64, 48), ncol = 3 ) ## Arbitrary F matrix
X <- habeck.rot(F)
det(X)
Directional documentation built on Oct. 12, 2023, 1:07 a.m.
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| Habeck's rotation matrix generation | R Documentation |
Generation of three-dimensional random rotations using Habeck's algorithm.
Description
It generates random rotations in three-dimensional space that follow a probability distribution, matrix Fisher distribution, arising in fitting and matching problem.
Usage
habeck.rot(F)
Arguments
F |
An arbitrary 3 x 3 matrix represents the parameter matrix of this distribution. |
Details
Firstly rotation matrices X are chosen which are the closest to F, and then parameterized using euler angles. Then a Gibbs sampling algorithm is implemented to generate rotation matrices from the resulting disribution of the euler angles.
Value
A simulated rotation matrix.
Author(s)
Anamul Sajib.
R implementation and documentation: Anamul Sajib <sajibstat@du.ac.bd>.
References
Habeck M (2009). Generation of three-dimensional random rotations in fitting and matching problems. Computational Statistics, 24, 719–731.
Examples
F <- 10^(-1) * matrix( c(85, 11, 41, 78, 39, 60, 43, 64, 48), ncol = 3 ) ## Arbitrary F matrix
X <- habeck.rot(F)
det(X)
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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