Statements (65)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:architecture
|
| gptkbp:can_be_multiplied_by |
Another quaternion
|
| gptkbp:can_be_normalized_to |
Unit quaternion
|
| gptkbp:can_transform_into |
Euler angles
Rotation matrix |
| gptkbp:composed_of |
Scalar part
Vector part |
| gptkbp:has_applications_in |
gptkb:Animation
Computer vision |
| gptkbp:has_component |
1 real part
3 imaginary parts |
| https://www.w3.org/2000/01/rdf-schema#label |
Quaternion
|
| gptkbp:introduced_in |
gptkb:William_Rowan_Hamilton
|
| gptkbp:is_non-commutative |
Multiplication
|
| gptkbp:is_related_to |
gptkb:Lie_groups
Vector spaces Complex numbers Lie algebras Spinors |
| gptkbp:is_represented_in |
a + bi + cj + dk
q = w + xi + yj + zk |
| gptkbp:is_used_in |
gptkb:virtual_reality
gptkb:Artificial_Intelligence gptkb:Physics gptkb:Fluid_dynamics gptkb:Quantum_mechanics gptkb:robotics Aerospace engineering Control systems Control theory Deep learning Image processing Machine learning Signal processing Computer animation Electromagnetic theory Scientific computing Augmented reality Data visualization Game development Signal analysis Navigation systems Computer-aided design (CAD) Simulation software Robotic arms Dynamic systems Geometric algebra Motion capture Physics simulations Virtual environments Artificial neural networks Game physics Robotics simulation Computer graphics rendering 3 D modeling 3 D computer graphics Physics engines Physics-based rendering Drone navigation Spacecraft attitude control |
| gptkbp:is_used_to |
Avoid gimbal lock
|
| gptkbp:length |
gptkb:4
|
| gptkbp:represents |
Rotations in 3 D space
|
| gptkbp:bfsParent |
gptkb:XRViewer_Pose
|
| gptkbp:bfsLayer |
7
|