Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:3-dimensional_Euclidean_space
|
| gptkbp:application |
motion planning
pose estimation |
| gptkbp:contains |
translations
rotations |
| gptkbp:containsElement |
rigid body transformations in 3D
|
| gptkbp:dimensionOfLieAlgebra |
6
|
| gptkbp:dimensions |
6
|
| gptkbp:fullName |
Special Euclidean group in 3 dimensions
|
| gptkbp:hasSubgroup |
gptkb:affine_group
gptkb:SO(3) R^3 |
| gptkbp:homogeneousCoordinates |
used
|
| https://www.w3.org/2000/01/rdf-schema#label |
SE(3)
|
| gptkbp:identityElement |
identity transformation
inverse transformation |
| gptkbp:isomorphicTo |
SO(3) ⋉ R^3
|
| gptkbp:Lie_algebra |
se(3)
|
| gptkbp:matrixRepresentation |
4x4 matrices
|
| gptkbp:notation |
gptkb:SE(3)
|
| gptkbp:operator |
composition of transformations
|
| gptkbp:parameter |
rotation matrix and translation vector
|
| gptkbp:relatedGroup |
gptkb:Lie_group
|
| gptkbp:structure |
semidirect product
|
| gptkbp:usedIn |
computer vision
mechanics physics robotics |
| gptkbp:bfsParent |
gptkb:screw_theory
|
| gptkbp:bfsLayer |
7
|