gtsam 4.2
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gtsam::LieGroup< Class, N > Struct Template Reference

Detailed Description

template<class Class, int N>
struct gtsam::LieGroup< Class, N >

A CRTP helper class that implements Lie group methods Prerequisites: methods operator*, inverse, and AdjointMap, as well as a ChartAtOrigin struct that will be used to define the manifold Chart To use, simply derive, but also say "using LieGroup<Class,N>::inverse" For derivative math, see doc/math.pdf.

Public Member Functions

const Class & derived () const
Class compose (const Class &g) const
Class between (const Class &g) const
Class compose (const Class &g, ChartJacobian H1, ChartJacobian H2=boost::none) const
Class between (const Class &g, ChartJacobian H1, ChartJacobian H2=boost::none) const
Class inverse (ChartJacobian H) const
Class expmap (const TangentVector &v) const
 expmap as required by manifold concept Applies exponential map to v and composes with *this
TangentVector logmap (const Class &g) const
 logmap as required by manifold concept Applies logarithmic map to group element that takes *this to g
Class expmap (const TangentVector &v, ChartJacobian H1, ChartJacobian H2=boost::none) const
 expmap with optional derivatives
TangentVector logmap (const Class &g, ChartJacobian H1, ChartJacobian H2=boost::none) const
 logmap with optional derivatives
Class retract (const TangentVector &v) const
 retract as required by manifold concept: applies v at *this
TangentVector localCoordinates (const Class &g) const
 localCoordinates as required by manifold concept: finds tangent vector between *this and g
Class retract (const TangentVector &v, ChartJacobian H1, ChartJacobian H2=boost::none) const
 retract with optional derivatives
TangentVector localCoordinates (const Class &g, ChartJacobian H1, ChartJacobian H2=boost::none) const
 localCoordinates with optional derivatives
SOn compose (const SOn &g, DynamicJacobian H1, DynamicJacobian H2) const
SOn between (const SOn &g, DynamicJacobian H1, DynamicJacobian H2) const
GTSAM_EXPORT SOn compose (const SOn &g, DynamicJacobian H1, DynamicJacobian H2) const
GTSAM_EXPORT SOn between (const SOn &g, DynamicJacobian H1, DynamicJacobian H2) const

Static Public Member Functions

static Class Retract (const TangentVector &v)
 Retract at origin: possible in Lie group because it has an identity.
static TangentVector LocalCoordinates (const Class &g)
 LocalCoordinates at origin: possible in Lie group because it has an identity.
static Class Retract (const TangentVector &v, ChartJacobian H)
 Retract at origin with optional derivative.
static TangentVector LocalCoordinates (const Class &g, ChartJacobian H)
 LocalCoordinates at origin with optional derivative.

Public Types

enum  { dimension = N }
typedef OptionalJacobian< N, N > ChartJacobian
typedef Eigen::Matrix< double, N, N > Jacobian
typedef Eigen::Matrix< double, N, 1 > TangentVector

The documentation for this struct was generated from the following file:
  • /tmp/gtsam-4.2-docs.H5EUbA/src/gtsam/base/Lie.h