template<class Class, int N>
struct gtsam::internal::MatrixLieGroupTraits< Class, N >
Adds MatrixLieGroup methods to LieGroupTraits.
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static LieAlgebra | Hat (const TangentVector &v) |
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static TangentVector | Vee (const LieAlgebra &X) |
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static Eigen::Matrix< double, product(N, N), 1 > | Vec (const Class &m, OptionalJacobian< product(N, N), LieGroupTraits< Class >::dimension > H={}) |
| | Vectorize the matrix representation of a Lie group element.
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static TangentVector | AdjointTranspose (const Class &m, const TangentVector &x, ChartJacobian Hm={}, ChartJacobian Hx={}) |
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static TangentVector | Adjoint (const Class &m, const TangentVector &x, ChartJacobian Hm={}, ChartJacobian Hx={}) |
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static Jacobian | adjointMap (const TangentVector &xi) |
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static TangentVector | adjoint (const TangentVector &xi, const TangentVector &y, ChartJacobian Hxi={}, ChartJacobian H_y={}) |
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static TangentVector | adjointTranspose (const TangentVector &xi, const TangentVector &y, ChartJacobian Hxi={}, ChartJacobian H_y={}) |
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static TangentVector | Logmap (const Class &m) |
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template<class C = Class, class = LogmapWithJacobian<C, ChartJacobian>> |
| static TangentVector | Logmap (const Class &m, ChartJacobian Hm) |
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static Class | Expmap (const TangentVector &v) |
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template<class C = Class, class = ExpmapWithJacobian<C, TangentVector, ChartJacobian>> |
| static Class | Expmap (const TangentVector &v, ChartJacobian Hv) |
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static Class | Compose (const Class &m1, const Class &m2, ChartJacobian H1={}, ChartJacobian H2={}) |
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static Class | Between (const Class &m1, const Class &m2, ChartJacobian H1={}, ChartJacobian H2={}) |
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static Class | Inverse (const Class &m, ChartJacobian H={}) |
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static Eigen::Matrix< double, dimension, dimension > | AdjointMap (const Class &m) |
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static Class | Identity () |
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static TangentVector | Local (const Class &origin, const Class &other) |
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template<class C = Class, class = LocalCoordinatesWithJacobians<C, ChartJacobian>> |
| static TangentVector | Local (const Class &origin, const Class &other, ChartJacobian H1, ChartJacobian H2={}) |
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static Class | Retract (const Class &origin, const TangentVector &v) |
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template<class C = Class, class = RetractWithJacobians<C, TangentVector, ChartJacobian>> |
| static Class | Retract (const Class &origin, const TangentVector &v, ChartJacobian H1, ChartJacobian H2={}) |
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static size_t | GetDimension (const Class &m) |
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using | LieAlgebra = typename Class::LieAlgebra |
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using | TangentVector = typename LieGroupTraits<Class>::TangentVector |
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using | Jacobian = typename LieGroupTraits<Class>::Jacobian |
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using | ChartJacobian = typename LieGroupTraits<Class>::ChartJacobian |
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using | Manifold = ManifoldTraits<Class> |
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using | structure_category = lie_group_tag |
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using | group_flavor = multiplicative_group_tag |
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using | Jacobian = Eigen::Matrix<double, dimension, dimension> |
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typedef OptionalJacobian< dimension, dimension > | ChartJacobian |
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typedef Class | ManifoldType |
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typedef Eigen::Matrix< double, dimension, 1 > | TangentVector |
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typedef Class | ManifoldType |
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typedef manifold_tag | structure_category |
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typedef Eigen::Matrix< double, dimension, 1 > | TangentVector |
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typedef OptionalJacobian< dimension, dimension > | ChartJacobian |