|
gptkbp:instanceOf
|
gptkb:algebra
gptkb:mathematical_concept
|
|
gptkbp:algebraic_property
|
Associative
Non-commutative
Non-division algebra
|
|
gptkbp:application
|
gptkb:Inverse_kinematics
Animation blending
Interpolation of rigid transformations
|
|
gptkbp:basis_elements
|
1, i, j, k, ε, εi, εj, εk
|
|
gptkbp:component_count
|
8 real numbers
|
|
gptkbp:dimensions
|
8
|
|
gptkbp:dual_unit_property
|
ε^2 = 0
|
|
gptkbp:element_type
|
a + εb, where a and b are quaternions, ε is dual unit
|
|
gptkbp:field
|
gptkb:Mathematics
gptkb:Mechanics
Computer science
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Dual quaternions
|
|
gptkbp:introduced
|
gptkb:William_Kingdon_Clifford
|
|
gptkbp:introducedIn
|
1873
|
|
gptkbp:relatedTo
|
gptkb:Lie_groups
gptkb:SE(3)_group
gptkb:Screw_theory
Homogeneous transformation matrices
|
|
gptkbp:subclassOf
|
gptkb:Quaternions
gptkb:Dual_numbers
|
|
gptkbp:used_in
|
gptkb:Computer_graphics
gptkb:Kinematics
gptkb:robot
|
|
gptkbp:usedFor
|
Representing rigid body transformations
Representing rotation and translation simultaneously
|
|
gptkbp:bfsParent
|
gptkb:Quaternions
|
|
gptkbp:bfsLayer
|
7
|