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mrpt::poses::SE_traits< 2 > Struct Template Reference

Detailed Description

template<>
struct mrpt::poses::SE_traits< 2 >

Specialization of SE for 2D poses.

See also
SE_traits

Definition at line 75 of file SE_traits.h.

#include <mrpt/poses/SE_traits.h>

Public Types

enum  { VECTOR_SIZE = 3 }
 
typedef mrpt::math::CArrayDouble< VECTOR_SIZEarray_t
 
typedef mrpt::math::CMatrixFixedNumeric< double, VECTOR_SIZE, VECTOR_SIZEmatrix_VxV_t
 
typedef CPose2D pose_t
 
typedef mrpt::math::TPose2D lightweight_pose_t
 
typedef mrpt::math::TPoint2D point_t
 

Static Public Member Functions

static void exp (const array_t &x, CPose2D &P)
 Exponential map in SE(2) More...
 
static void pseudo_exp (const array_t &x, CPose2D &P)
 Pseudo-Exponential map in SE(2), in this case identical to exp() More...
 
static void ln (const CPose2D &P, array_t &x)
 Logarithm map in SE(2) More...
 
static void pseudo_ln (const CPose2D &P, array_t &x)
 A pseudo-Logarithm map in SE(2), where the output = [X,Y, Ln(ROT)], that is, the normal SO(2) logarithm is used for the rotation components, but the translation is left unmodified. More...
 
static void jacobian_dP1DP2inv_depsilon (const CPose2D &P1DP2inv, matrix_VxV_t *df_de1, matrix_VxV_t *df_de2)
 Return one or both of the following 3x3 Jacobians, useful in graph-slam problems:

\[ \frac{\partial pseudoLn(P_1 D P_2^{-1}) }{\partial \epsilon_1} \]

\[ \frac{\partial pseudoLn(P_1 D P_2^{-1}) }{\partial \epsilon_2} \]

With $ \epsilon_1 $ and $ \epsilon_2 $ being increments in the linearized manifold for P1 and P2. More...

 
static void jacobian_dDinvP1invP2_depsilon (const CPose2D &Dinv, const CPose2D &P1, const CPose2D &P2, matrix_VxV_t *df_de1, matrix_VxV_t *df_de2)
 Return one or both of the following 3x3 Jacobians, useful in graph-slam problems:

\[ \frac{\partial pseudoLn(D^{-1} P_1^{-1} P_2}{\partial \epsilon_1} \]

\[ \frac{\partial pseudoLn(D^{-1} P_1^{-1} P_2}{\partial \epsilon_1} \]

With $ \epsilon_1 $ and $ \epsilon_2 $ being increments in the linearized manifold for P1 and P2. More...

 

Member Typedef Documentation

◆ array_t

Definition at line 78 of file SE_traits.h.

◆ lightweight_pose_t

Definition at line 81 of file SE_traits.h.

◆ matrix_VxV_t

Definition at line 79 of file SE_traits.h.

◆ point_t

Definition at line 82 of file SE_traits.h.

◆ pose_t

Definition at line 80 of file SE_traits.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum
Enumerator
VECTOR_SIZE 

Definition at line 77 of file SE_traits.h.

Member Function Documentation

◆ exp()

static void mrpt::poses::SE_traits< 2 >::exp ( const array_t x,
CPose2D P 
)
inlinestatic

◆ jacobian_dDinvP1invP2_depsilon()

static void mrpt::poses::SE_traits< 2 >::jacobian_dDinvP1invP2_depsilon ( const CPose2D Dinv,
const CPose2D P1,
const CPose2D P2,
matrix_VxV_t df_de1,
matrix_VxV_t df_de2 
)
static

Return one or both of the following 3x3 Jacobians, useful in graph-slam problems:

\[ \frac{\partial pseudoLn(D^{-1} P_1^{-1} P_2}{\partial \epsilon_1} \]

\[ \frac{\partial pseudoLn(D^{-1} P_1^{-1} P_2}{\partial \epsilon_1} \]

With $ \epsilon_1 $ and $ \epsilon_2 $ being increments in the linearized manifold for P1 and P2.

◆ jacobian_dP1DP2inv_depsilon()

static void mrpt::poses::SE_traits< 2 >::jacobian_dP1DP2inv_depsilon ( const CPose2D P1DP2inv,
matrix_VxV_t df_de1,
matrix_VxV_t df_de2 
)
static

Return one or both of the following 3x3 Jacobians, useful in graph-slam problems:

\[ \frac{\partial pseudoLn(P_1 D P_2^{-1}) }{\partial \epsilon_1} \]

\[ \frac{\partial pseudoLn(P_1 D P_2^{-1}) }{\partial \epsilon_2} \]

With $ \epsilon_1 $ and $ \epsilon_2 $ being increments in the linearized manifold for P1 and P2.

◆ ln()

static void mrpt::poses::SE_traits< 2 >::ln ( const CPose2D P,
array_t x 
)
inlinestatic

◆ pseudo_exp()

static void mrpt::poses::SE_traits< 2 >::pseudo_exp ( const array_t x,
CPose2D P 
)
inlinestatic

Pseudo-Exponential map in SE(2), in this case identical to exp()

Definition at line 88 of file SE_traits.h.

◆ pseudo_ln()

static void mrpt::poses::SE_traits< 2 >::pseudo_ln ( const CPose2D P,
array_t x 
)
inlinestatic

A pseudo-Logarithm map in SE(2), where the output = [X,Y, Ln(ROT)], that is, the normal SO(2) logarithm is used for the rotation components, but the translation is left unmodified.

Definition at line 96 of file SE_traits.h.




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