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• Rotation_formalisms_in_three_dimensions abstract "In geometry, various formalisms exist to express a rotation in three dimensions as a mathematical transformation. In physics, this concept is applied to classical mechanics where rotational (or angular) kinematics is the science of quantitative description of a purely rotational motion. The orientation of an object at a given instant is described with the same tools, as it is defined as an imaginary rotation from a reference placement in space, rather than an actually observed rotation from a previous placement in space.According to Euler's rotation theorem the rotation of a rigid body (or three-dimensional coordinate system with the fixed origin) is described by a single rotation about some axis. Such a rotation may be uniquely described by a minimum of three real parameters. However, for various reasons, there are several ways to represent it. Many of these representations use more than the necessary minimum of three parameters, although each of them still has only three degrees of freedom.An example where rotation representation is used is in computer vision, where an automated observer needs to track a target. Let's consider a rigid body, with three orthogonal unit vectors fixed to its body (representing the three axes of the object's local coordinate system). The basic problem is to specify the orientation of these three unit vectors, and hence the rigid body, with respect to the observer's coordinate system, regarded as a reference placement in space.".
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• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Affine_space.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Atan2.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Automation.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Aviation.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Banked_turn.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Basis_(linear_algebra).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Bivector.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Cartesian_coordinate_system.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Category:Euclidean_symmetries.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Category:Orientation_(geometry).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Category:Rotation.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Category:Rotation_in_three_dimensions.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Center-of-momentum_frame.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Circular_motion.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Classical_mechanics.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Classification_of_discontinuities.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Commutative_property.
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• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Computer_vision.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Coordinate_system.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Course_(navigation).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Cross_product.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink D._Reidel.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Degrees_of_freedom_(mechanics).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Determinant.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Dimension_(vector_space).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Eigenvalues_and_eigenvectors.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Elevation_(ballistics).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Euclidean_space.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Euler_angles.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Euler_filter.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Eulers_rotation_theorem.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Floating_point.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Function_composition.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Geometric_algebra.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Geometric_transformation.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Geometry.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Group_action.
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• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Identity_matrix.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Imaginary_unit.
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• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Kinematic_pair.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Kinematics.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Linear_map.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Motion_(physics).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Multivector.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Nutation.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Orientation_(geometry).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Orientation_(vector_space).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Origin_(mathematics).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Orthogonal_matrix.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Orthonormal_basis.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Outer_product.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Pauli_matrices.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Pergamon_Press.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Pitching_moment.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Plane_of_rotation.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Point_(geometry).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Power_series.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Precession.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Q.E.D..
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Quantity.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Quaternion.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Quaternions_and_spatial_rotation.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Real_coordinate_space.
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• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Right-hand_rule.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Rigid_body.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Rodrigues_rotation_formula.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Rotation.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Rotation_(mathematics).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Rotation_around_a_fixed_axis.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Rotation_matrix.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Round-off_error.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Scalar_(mathematics).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Three-dimensional_rotation_operator.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Trace_(linear_algebra).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Transitive_relation.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Translation_(geometry).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Trigonometric_functions.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Unit_vector.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink University_of_New_Mexico.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Vector_space.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Velocity.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Versor.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink Yaw_(rotation).
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink File:Euler_AxisAngle.png.
• Rotation_formalisms_in_three_dimensions wikiPageWikiLink File:Praezession.svg.

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