MRPT  2.0.1
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mrpt::poses::CPose3DPDFGaussian Class Referenceabstract

Detailed Description

Declares a class that represents a Probability Density function (PDF) of a 3D pose $ p(\mathbf{x}) = [x ~ y ~ z ~ yaw ~ pitch ~ roll]^t $.

This class implements that PDF using a mono-modal Gaussian distribution. See mrpt::poses::CPose3DPDF for more details.

Uncertainty of pose composition operations ( $ y = x \oplus u $) is implemented in the method "CPose3DPDFGaussian::operator+=".

For further details on implemented methods and the theory behind them, see this report.

See also
CPose3D, CPose3DPDF, CPose3DPDFParticles

Definition at line 39 of file CPose3DPDFGaussian.h.

#include <mrpt/poses/CPose3DPDFGaussian.h>

Inheritance diagram for mrpt::poses::CPose3DPDFGaussian:

Public Types

enum  { is_3D_val = 1 }
 
enum  { is_PDF_val = 1 }
 
using type_value = CPose3D
 The type of the state the PDF represents. More...
 
using self_t = CProbabilityDensityFunction< CPose3D, STATE_LEN >
 
using cov_mat_t = mrpt::math::CMatrixFixed< double, STATE_LEN, STATE_LEN >
 Covariance matrix type. More...
 
using inf_mat_t = cov_mat_t
 Information matrix type. More...
 

Public Member Functions

 CPose3DPDFGaussian ()
 Default constructor. More...
 
 CPose3DPDFGaussian (const CPose3D &init_Mean)
 Constructor. More...
 
 CPose3DPDFGaussian (TConstructorFlags_Poses constructor_dummy_param)
 Uninitialized constructor: leave all fields uninitialized - Call with UNINITIALIZED_POSE as argument. More...
 
 CPose3DPDFGaussian (const CPose3D &init_Mean, const mrpt::math::CMatrixDouble66 &init_Cov)
 Constructor. More...
 
 CPose3DPDFGaussian (const CPosePDFGaussian &o)
 Constructor from a Gaussian 2D pose PDF (sets to 0 the missing variables z,pitch, and roll). More...
 
 CPose3DPDFGaussian (const CPose3DQuatPDFGaussian &o)
 Constructor from a 6D pose PDF described as a Quaternion. More...
 
const CPose3DgetPoseMean () const
 
CPose3DgetPoseMean ()
 
void getMean (CPose3D &mean_pose) const override
 Returns an estimate of the pose, (the mean, or mathematical expectation of the PDF). More...
 
std::tuple< cov_mat_t, type_valuegetCovarianceAndMean () const override
 Returns an estimate of the pose covariance matrix (6x6 cov matrix) and the mean, both at once. More...
 
void asString (std::string &s) const
 
std::string asString () const
 
void copyFrom (const CPose3DPDF &o) override
 Copy operator, translating if necesary (for example, between particles and gaussian representations) More...
 
void copyFrom (const CPosePDF &o)
 Copy operator, translating if necesary (for example, between particles and gaussian representations) More...
 
void copyFrom (const CPose3DQuatPDFGaussian &o)
 Copy from a 6D pose PDF described as a Quaternion. More...
 
bool saveToTextFile (const std::string &file) const override
 Save the PDF to a text file, containing the 3D pose in the first line, then the covariance matrix in next 3 lines. More...
 
void changeCoordinatesReference (const CPose3D &newReferenceBase) override
 this = p (+) this. More...
 
void drawSingleSample (CPose3D &outPart) const override
 Draws a single sample from the distribution. More...
 
void drawManySamples (size_t N, std::vector< mrpt::math::CVectorDouble > &outSamples) const override
 Draws a number of samples from the distribution, and saves as a list of 1x6 vectors, where each row contains a (x,y,phi) datum. More...
 
void bayesianFusion (const CPose3DPDF &p1, const CPose3DPDF &p2) override
 Bayesian fusion of two points gauss. More...
 
void inverse (CPose3DPDF &o) const override
 Returns a new PDF such as: NEW_PDF = (0,0,0) - THIS_PDF. More...
 
CPose3DPDFGaussian operator- () const
 Unary - operator, returns the PDF of the inverse pose. More...
 
void operator+= (const CPose3D &Ap)
 Makes: thisPDF = thisPDF + Ap, where "+" is pose composition (both the mean, and the covariance matrix are updated). More...
 
void operator+= (const CPose3DPDFGaussian &Ap)
 Makes: thisPDF = thisPDF + Ap, where "+" is pose composition (both the mean, and the covariance matrix are updated). More...
 
void operator-= (const CPose3DPDFGaussian &Ap)
 Makes: thisPDF = thisPDF - Ap, where "-" is pose inverse composition (both the mean, and the covariance matrix are updated). More...
 
double evaluatePDF (const CPose3D &x) const
 Evaluates the PDF at a given point. More...
 
double evaluateNormalizedPDF (const CPose3D &x) const
 Evaluates the ratio PDF(x) / PDF(MEAN), that is, the normalized PDF in the range [0,1]. More...
 
double mahalanobisDistanceTo (const CPose3DPDFGaussian &theOther)
 Computes the Mahalanobis distance between the centers of two Gaussians. More...
 
void getCovSubmatrix2D (mrpt::math::CMatrixDouble &out_cov) const
 Returns a 3x3 matrix with submatrix of the covariance for the variables (x,y,yaw) only. More...
 
template<class OPENGL_SETOFOBJECTSPTR >
void getAs3DObject (OPENGL_SETOFOBJECTSPTR &out_obj) const
 Returns a 3D representation of this PDF (it doesn't clear the current contents of out_obj, but append new OpenGL objects to that list) More...
 
template<class OPENGL_SETOFOBJECTSPTR >
OPENGL_SETOFOBJECTSPTR getAs3DObject () const
 Returns a 3D representation of this PDF. More...
 
virtual mxArraywriteToMatlab () const
 Introduces a pure virtual method responsible for writing to a mxArray Matlab object, typically a MATLAB struct whose contents are documented in each derived class. More...
 
virtual void getMean (type_value &mean_point) const=0
 Returns the mean, or mathematical expectation of the probability density distribution (PDF). More...
 
virtual void getCovarianceAndMean (cov_mat_t &c, CPose3D &mean) const final
 
void getCovarianceDynAndMean (mrpt::math::CMatrixDouble &cov, type_value &mean_point) const
 Returns an estimate of the pose covariance matrix (STATE_LENxSTATE_LEN cov matrix) and the mean, both at once. More...
 
type_value getMeanVal () const
 Returns the mean, or mathematical expectation of the probability density distribution (PDF). More...
 
void getCovariance (mrpt::math::CMatrixDouble &cov) const
 Returns the estimate of the covariance matrix (STATE_LEN x STATE_LEN covariance matrix) More...
 
void getCovariance (cov_mat_t &cov) const
 Returns the estimate of the covariance matrix (STATE_LEN x STATE_LEN covariance matrix) More...
 
cov_mat_t getCovariance () const
 Returns the estimate of the covariance matrix (STATE_LEN x STATE_LEN covariance matrix) More...
 
virtual bool isInfType () const
 Returns whether the class instance holds the uncertainty in covariance or information form. More...
 
virtual void getInformationMatrix (inf_mat_t &inf) const
 Returns the information (inverse covariance) matrix (a STATE_LEN x STATE_LEN matrix) Unless reimplemented in derived classes, this method first reads the covariance, then invert it. More...
 
virtual void drawSingleSample (CPose3D &outPart) const=0
 Draws a single sample from the distribution. More...
 
double getCovarianceEntropy () const
 Compute the entropy of the estimated covariance matrix. More...
 
RTTI classes and functions for polymorphic hierarchies
mrpt::rtti::CObject::Ptr duplicateGetSmartPtr () const
 Makes a deep copy of the object and returns a smart pointer to it. More...
 

Static Public Member Functions

static CPose3DPDFcreateFrom2D (const CPosePDF &o)
 This is a static transformation method from 2D poses to 3D PDFs, preserving the representation type (particles->particles, Gaussians->Gaussians,etc) More...
 
static void jacobiansPoseComposition (const CPose3D &x, const CPose3D &u, mrpt::math::CMatrixDouble66 &df_dx, mrpt::math::CMatrixDouble66 &df_du)
 This static method computes the pose composition Jacobians. More...
 
static constexpr bool is_3D ()
 
static constexpr bool is_PDF ()
 

Public Attributes

CPose3D mean
 The mean value. More...
 
mrpt::math::CMatrixDouble66 cov
 The 6x6 covariance matrix. More...
 

Static Public Attributes

static constexpr size_t state_length
 The length of the variable, for example, 3 for a 3D point, 6 for a 3D pose (x y z yaw pitch roll). More...
 

Protected Member Functions

void enforceCovSymmetry ()
 Assures the symmetry of the covariance matrix (eventually certain operations in the math-coprocessor lead to non-symmetric matrixes!) More...
 
CSerializable virtual methods
uint8_t serializeGetVersion () const override
 Must return the current versioning number of the object. More...
 
void serializeTo (mrpt::serialization::CArchive &out) const override
 Pure virtual method for writing (serializing) to an abstract archive. More...
 
void serializeFrom (mrpt::serialization::CArchive &in, uint8_t serial_version) override
 Pure virtual method for reading (deserializing) from an abstract archive. More...
 
CSerializable virtual methods
virtual void serializeTo (CSchemeArchiveBase &out) const
 Virtual method for writing (serializing) to an abstract schema based archive. More...
 
virtual void serializeFrom (CSchemeArchiveBase &in)
 Virtual method for reading (deserializing) from an abstract schema based archive. More...
 

RTTI stuff

using Ptr = std::shared_ptr< mrpt::poses ::CPose3DPDFGaussian >
 
using ConstPtr = std::shared_ptr< const mrpt::poses ::CPose3DPDFGaussian >
 
using UniquePtr = std::unique_ptr< mrpt::poses ::CPose3DPDFGaussian >
 
using ConstUniquePtr = std::unique_ptr< const mrpt::poses ::CPose3DPDFGaussian >
 
static const mrpt::rtti::TRuntimeClassId runtimeClassId
 
static constexpr const char * className = "mrpt::poses" "::" "CPose3DPDFGaussian"
 
static const mrpt::rtti::TRuntimeClassId_GetBaseClass ()
 
static constexpr auto getClassName ()
 
static const mrpt::rtti::TRuntimeClassIdGetRuntimeClassIdStatic ()
 
static std::shared_ptr< CObjectCreateObject ()
 
template<typename... Args>
static Ptr Create (Args &&... args)
 
template<typename Alloc , typename... Args>
static Ptr CreateAlloc (const Alloc &alloc, Args &&... args)
 
template<typename... Args>
static UniquePtr CreateUnique (Args &&... args)
 
virtual const mrpt::rtti::TRuntimeClassIdGetRuntimeClass () const override
 Returns information about the class of an object in runtime. More...
 
virtual mrpt::rtti::CObjectclone () const override
 Returns a deep copy (clone) of the object, indepently of its class. More...
 

Member Typedef Documentation

◆ ConstPtr

Definition at line 41 of file CPose3DPDFGaussian.h.

◆ ConstUniquePtr

using mrpt::poses::CPose3DPDFGaussian::ConstUniquePtr = std::unique_ptr<const mrpt::poses :: CPose3DPDFGaussian >

Definition at line 41 of file CPose3DPDFGaussian.h.

◆ cov_mat_t

using mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::cov_mat_t = mrpt::math::CMatrixFixed<double, STATE_LEN, STATE_LEN>
inherited

Covariance matrix type.

Definition at line 37 of file CProbabilityDensityFunction.h.

◆ inf_mat_t

Information matrix type.

Definition at line 39 of file CProbabilityDensityFunction.h.

◆ Ptr

A type for the associated smart pointer

Definition at line 41 of file CPose3DPDFGaussian.h.

◆ self_t

using mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::self_t = CProbabilityDensityFunction<CPose3D , STATE_LEN>
inherited

Definition at line 35 of file CProbabilityDensityFunction.h.

◆ type_value

The type of the state the PDF represents.

Definition at line 34 of file CProbabilityDensityFunction.h.

◆ UniquePtr

using mrpt::poses::CPose3DPDFGaussian::UniquePtr = std::unique_ptr< mrpt::poses :: CPose3DPDFGaussian >

Definition at line 41 of file CPose3DPDFGaussian.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum
inherited
Enumerator
is_3D_val 

Definition at line 101 of file CPose3DPDF.h.

◆ anonymous enum

anonymous enum
inherited
Enumerator
is_PDF_val 

Definition at line 106 of file CPose3DPDF.h.

Constructor & Destructor Documentation

◆ CPose3DPDFGaussian() [1/6]

CPose3DPDFGaussian::CPose3DPDFGaussian ( )

Default constructor.

Definition at line 48 of file CPose3DPDFGaussian.cpp.

◆ CPose3DPDFGaussian() [2/6]

CPose3DPDFGaussian::CPose3DPDFGaussian ( const CPose3D init_Mean)
explicit

Constructor.

Definition at line 87 of file CPose3DPDFGaussian.cpp.

◆ CPose3DPDFGaussian() [3/6]

mrpt::poses::CPose3DPDFGaussian::CPose3DPDFGaussian ( TConstructorFlags_Poses  constructor_dummy_param)

Uninitialized constructor: leave all fields uninitialized - Call with UNINITIALIZED_POSE as argument.

◆ CPose3DPDFGaussian() [4/6]

CPose3DPDFGaussian::CPose3DPDFGaussian ( const CPose3D init_Mean,
const mrpt::math::CMatrixDouble66 init_Cov 
)

Constructor.

Definition at line 61 of file CPose3DPDFGaussian.cpp.

◆ CPose3DPDFGaussian() [5/6]

CPose3DPDFGaussian::CPose3DPDFGaussian ( const CPosePDFGaussian o)
explicit

Constructor from a Gaussian 2D pose PDF (sets to 0 the missing variables z,pitch, and roll).

Definition at line 70 of file CPose3DPDFGaussian.cpp.

References mrpt::poses::CPosePDFGaussian::cov, and cov.

◆ CPose3DPDFGaussian() [6/6]

CPose3DPDFGaussian::CPose3DPDFGaussian ( const CPose3DQuatPDFGaussian o)
explicit

Constructor from a 6D pose PDF described as a Quaternion.

Definition at line 120 of file CPose3DPDFGaussian.cpp.

References copyFrom().

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Member Function Documentation

◆ _GetBaseClass()

static const mrpt::rtti::TRuntimeClassId* mrpt::poses::CPose3DPDFGaussian::_GetBaseClass ( )
staticprotected

◆ asString() [1/2]

void CPose3DPDFGaussian::asString ( std::string &  s) const

Definition at line 129 of file CPose3DPDFGaussian.cpp.

◆ asString() [2/2]

std::string mrpt::poses::CPose3DPDFGaussian::asString ( ) const
inline

Definition at line 101 of file CPose3DPDFGaussian.h.

◆ bayesianFusion()

void CPose3DPDFGaussian::bayesianFusion ( const CPose3DPDF p1,
const CPose3DPDF p2 
)
overridevirtual

Bayesian fusion of two points gauss.

distributions, then save the result in this object. The process is as follows:

  • (x1,S1): Mean and variance of the p1 distribution.
  • (x2,S2): Mean and variance of the p2 distribution.
  • (x,S): Mean and variance of the resulting distribution.

S = (S1-1 + S2-1)-1; x = S * ( S1-1*x1 + S2-1*x2 );

Implements mrpt::poses::CPose3DPDF.

Definition at line 365 of file CPose3DPDFGaussian.cpp.

References MRPT_END, MRPT_START, and THROW_EXCEPTION.

◆ changeCoordinatesReference()

void CPose3DPDFGaussian::changeCoordinatesReference ( const CPose3D newReferenceBase)
overridevirtual

this = p (+) this.

This can be used to convert a PDF from local coordinates to global, providing the point (newReferenceBase) from which "to project" the current pdf. Result PDF substituted the currently stored one in the object.

Implements mrpt::poses::CPose3DPDF.

Definition at line 297 of file CPose3DPDFGaussian.cpp.

References mrpt::poses::CPose3D::composeFrom(), cov, mrpt::poses::CPose3DPDF::jacobiansPoseComposition(), mean, MRPT_END, MRPT_START, mrpt::math::multiply_HCHt(), and mrpt::math::UNINITIALIZED_MATRIX.

Referenced by mrpt::topography::path_from_rtk_gps(), and Pose3DPDFGaussTests::testChangeCoordsRef().

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◆ clone()

virtual mrpt::rtti::CObject* mrpt::poses::CPose3DPDFGaussian::clone ( ) const
overridevirtual

Returns a deep copy (clone) of the object, indepently of its class.

Implements mrpt::rtti::CObject.

◆ copyFrom() [1/3]

void CPose3DPDFGaussian::copyFrom ( const CPose3DPDF o)
overridevirtual

◆ copyFrom() [2/3]

void CPose3DPDFGaussian::copyFrom ( const CPosePDF o)

Copy operator, translating if necesary (for example, between particles and gaussian representations)

Definition at line 253 of file CPose3DPDFGaussian.cpp.

References cov, mrpt::math::CProbabilityDensityFunction< TDATA, STATE_LEN >::getCovarianceAndMean(), mean, and mrpt::math::MatrixVectorBase< Scalar, Derived >::setZero().

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◆ copyFrom() [3/3]

void CPose3DPDFGaussian::copyFrom ( const CPose3DQuatPDFGaussian o)

◆ Create()

template<typename... Args>
static Ptr mrpt::poses::CPose3DPDFGaussian::Create ( Args &&...  args)
inlinestatic

Definition at line 41 of file CPose3DPDFGaussian.h.

◆ CreateAlloc()

template<typename Alloc , typename... Args>
static Ptr mrpt::poses::CPose3DPDFGaussian::CreateAlloc ( const Alloc &  alloc,
Args &&...  args 
)
inlinestatic

Definition at line 41 of file CPose3DPDFGaussian.h.

◆ createFrom2D()

CPose3DPDF * CPose3DPDF::createFrom2D ( const CPosePDF o)
staticinherited

This is a static transformation method from 2D poses to 3D PDFs, preserving the representation type (particles->particles, Gaussians->Gaussians,etc)

Warning
It returns a new object of any of the derived classes of CPose3DPDF. This object must be deleted by the user when not required anymore.
See also
copyFrom

Definition at line 49 of file CPose3DPDF.cpp.

References ASSERT_, CLASS_ID, cov2to3(), mrpt::poses::CPosePDF::GetRuntimeClass(), MRPT_END, MRPT_START, and THROW_EXCEPTION.

Referenced by mrpt::graphslam::deciders::CLoopCloserERD< GRAPH_T >::updateMapPartitions().

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◆ CreateObject()

static std::shared_ptr<CObject> mrpt::poses::CPose3DPDFGaussian::CreateObject ( )
static

◆ CreateUnique()

template<typename... Args>
static UniquePtr mrpt::poses::CPose3DPDFGaussian::CreateUnique ( Args &&...  args)
inlinestatic

Definition at line 41 of file CPose3DPDFGaussian.h.

◆ drawManySamples()

void CPose3DPDFGaussian::drawManySamples ( size_t  N,
std::vector< mrpt::math::CVectorDouble > &  outSamples 
) const
overridevirtual

Draws a number of samples from the distribution, and saves as a list of 1x6 vectors, where each row contains a (x,y,phi) datum.

Reimplemented from mrpt::math::CProbabilityDensityFunction< CPose3D, 6 >.

Definition at line 342 of file CPose3DPDFGaussian.cpp.

References cov, mrpt::random::CRandomGenerator::drawGaussianMultivariateMany(), mrpt::random::getRandomGenerator(), mean, MRPT_END, MRPT_START, mrpt::poses::CPose3D::pitch(), mrpt::poses::CPose3D::roll(), mrpt::math::wrapToPi(), mrpt::poses::CPoseOrPoint< DERIVEDCLASS, DIM >::x(), mrpt::poses::CPoseOrPoint< DERIVEDCLASS, DIM >::y(), and mrpt::poses::CPose3D::yaw().

Referenced by mrpt::hmtslam::CHierarchicalMapMHPartition::computeCoordinatesTransformationBetweenNodes().

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◆ drawSingleSample() [1/2]

void CPose3DPDFGaussian::drawSingleSample ( CPose3D outPart) const
override

Draws a single sample from the distribution.

Definition at line 324 of file CPose3DPDFGaussian.cpp.

References cov, mrpt::random::CRandomGenerator::drawGaussianMultivariate(), mrpt::random::getRandomGenerator(), mean, MRPT_END_WITH_CLEAN_UP, MRPT_START, mrpt::poses::CPose3D::pitch(), mrpt::poses::CPose3D::roll(), mrpt::math::MatrixVectorBase< Scalar, Derived >::saveToTextFile(), mrpt::poses::CPose3D::setFromValues(), mrpt::poses::CPoseOrPoint< DERIVEDCLASS, DIM >::x(), mrpt::poses::CPoseOrPoint< DERIVEDCLASS, DIM >::y(), and mrpt::poses::CPose3D::yaw().

Referenced by mrpt::hmtslam::CLSLAM_RBPF_2DLASER::prediction_and_update_pfOptimalProposal().

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◆ drawSingleSample() [2/2]

virtual void mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::drawSingleSample ( CPose3D &  outPart) const
pure virtualinherited

Draws a single sample from the distribution.

◆ duplicateGetSmartPtr()

mrpt::rtti::CObject::Ptr CObject::duplicateGetSmartPtr ( ) const
inlineinherited

Makes a deep copy of the object and returns a smart pointer to it.

Definition at line 204 of file CObject.h.

References mrpt::rtti::CObject::clone().

Referenced by mrpt::obs::CRawlog::insert().

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◆ enforceCovSymmetry()

void CPose3DPDFGaussian::enforceCovSymmetry ( )
protected

Assures the symmetry of the covariance matrix (eventually certain operations in the math-coprocessor lead to non-symmetric matrixes!)

Definition at line 544 of file CPose3DPDFGaussian.cpp.

References cov, and mrpt::math::CMatrixFixed< T, ROWS, COLS >::rows().

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◆ evaluateNormalizedPDF()

double CPose3DPDFGaussian::evaluateNormalizedPDF ( const CPose3D x) const

Evaluates the ratio PDF(x) / PDF(MEAN), that is, the normalized PDF in the range [0,1].

Definition at line 525 of file CPose3DPDFGaussian.cpp.

References THROW_EXCEPTION.

◆ evaluatePDF()

double CPose3DPDFGaussian::evaluatePDF ( const CPose3D x) const

Evaluates the PDF at a given point.

Definition at line 504 of file CPose3DPDFGaussian.cpp.

References THROW_EXCEPTION.

◆ getAs3DObject() [1/2]

template<class OPENGL_SETOFOBJECTSPTR >
void mrpt::poses::CPose3DPDF::getAs3DObject ( OPENGL_SETOFOBJECTSPTR &  out_obj) const
inlineinherited

Returns a 3D representation of this PDF (it doesn't clear the current contents of out_obj, but append new OpenGL objects to that list)

Note
Needs the mrpt-opengl library, and using mrpt::opengl::CSetOfObjects::Ptr as template argument.
By default, ellipsoids for the confidence intervals of "q=3" are drawn; for more mathematical details, see CGeneralizedEllipsoidTemplate::setQuantiles()
See also
mrpt::opengl::CSetOfObjects::posePDF2opengl() for details on pose-to-opengl conversion

Definition at line 122 of file CPose3DPDF.h.

References mrpt::opengl::posePDF2opengl().

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◆ getAs3DObject() [2/2]

template<class OPENGL_SETOFOBJECTSPTR >
OPENGL_SETOFOBJECTSPTR mrpt::poses::CPose3DPDF::getAs3DObject ( ) const
inlineinherited

Returns a 3D representation of this PDF.

Note
Needs the mrpt-opengl library, and using mrpt::opengl::CSetOfObjects::Ptr as template argument.

Definition at line 133 of file CPose3DPDF.h.

References mrpt::opengl::posePDF2opengl().

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◆ getClassName()

static constexpr auto mrpt::poses::CPose3DPDFGaussian::getClassName ( )
inlinestatic

Definition at line 41 of file CPose3DPDFGaussian.h.

◆ getCovariance() [1/3]

void mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::getCovariance ( mrpt::math::CMatrixDouble cov) const
inlineinherited

Returns the estimate of the covariance matrix (STATE_LEN x STATE_LEN covariance matrix)

See also
getMean, getCovarianceAndMean, getInformationMatrix

Definition at line 88 of file CProbabilityDensityFunction.h.

◆ getCovariance() [2/3]

void mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::getCovariance ( cov_mat_t cov) const
inlineinherited

Returns the estimate of the covariance matrix (STATE_LEN x STATE_LEN covariance matrix)

See also
getMean, getCovarianceAndMean, getInformationMatrix

Definition at line 98 of file CProbabilityDensityFunction.h.

◆ getCovariance() [3/3]

cov_mat_t mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::getCovariance ( ) const
inlineinherited

Returns the estimate of the covariance matrix (STATE_LEN x STATE_LEN covariance matrix)

See also
getMean, getInformationMatrix

Definition at line 108 of file CProbabilityDensityFunction.h.

◆ getCovarianceAndMean() [1/2]

virtual void mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::getCovarianceAndMean ( cov_mat_t c,
CPose3D &  mean 
) const
inlinefinalvirtualinherited

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Definition at line 54 of file CProbabilityDensityFunction.h.

◆ getCovarianceAndMean() [2/2]

std::tuple<cov_mat_t, type_value> mrpt::poses::CPose3DPDFGaussian::getCovarianceAndMean ( ) const
inlineoverridevirtual

Returns an estimate of the pose covariance matrix (6x6 cov matrix) and the mean, both at once.

See also
getMean

Implements mrpt::math::CProbabilityDensityFunction< CPose3D, 6 >.

Definition at line 95 of file CPose3DPDFGaussian.h.

References cov.

◆ getCovarianceDynAndMean()

void mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::getCovarianceDynAndMean ( mrpt::math::CMatrixDouble cov,
type_value mean_point 
) const
inlineinherited

Returns an estimate of the pose covariance matrix (STATE_LENxSTATE_LEN cov matrix) and the mean, both at once.

See also
getMean, getInformationMatrix

Definition at line 65 of file CProbabilityDensityFunction.h.

◆ getCovarianceEntropy()

double mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::getCovarianceEntropy ( ) const
inlineinherited

Compute the entropy of the estimated covariance matrix.

See also
http://en.wikipedia.org/wiki/Multivariate_normal_distribution#Entropy

Definition at line 167 of file CProbabilityDensityFunction.h.

◆ getCovSubmatrix2D()

void CPose3DPDFGaussian::getCovSubmatrix2D ( mrpt::math::CMatrixDouble out_cov) const

Returns a 3x3 matrix with submatrix of the covariance for the variables (x,y,yaw) only.

Definition at line 595 of file CPose3DPDFGaussian.cpp.

References cov, and mrpt::math::CMatrixDynamic< T >::setSize().

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◆ getInformationMatrix()

virtual void mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::getInformationMatrix ( inf_mat_t inf) const
inlinevirtualinherited

Returns the information (inverse covariance) matrix (a STATE_LEN x STATE_LEN matrix) Unless reimplemented in derived classes, this method first reads the covariance, then invert it.

See also
getMean, getCovarianceAndMean

Definition at line 130 of file CProbabilityDensityFunction.h.

◆ getMean() [1/2]

virtual void mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::getMean ( type_value mean_point) const
pure virtualinherited

Returns the mean, or mathematical expectation of the probability density distribution (PDF).

See also
getCovarianceAndMean, getInformationMatrix

◆ getMean() [2/2]

void mrpt::poses::CPose3DPDFGaussian::getMean ( CPose3D mean_pose) const
inlineoverride

Returns an estimate of the pose, (the mean, or mathematical expectation of the PDF).

See also
getCovariance

Definition at line 90 of file CPose3DPDFGaussian.h.

References mean.

◆ getMeanVal()

type_value mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::getMeanVal ( ) const
inlineinherited

Returns the mean, or mathematical expectation of the probability density distribution (PDF).

See also
getCovariance, getInformationMatrix

Definition at line 77 of file CProbabilityDensityFunction.h.

◆ getPoseMean() [1/2]

const CPose3D& mrpt::poses::CPose3DPDFGaussian::getPoseMean ( ) const
inline

Definition at line 84 of file CPose3DPDFGaussian.h.

References mean.

◆ getPoseMean() [2/2]

CPose3D& mrpt::poses::CPose3DPDFGaussian::getPoseMean ( )
inline

Definition at line 85 of file CPose3DPDFGaussian.h.

References mean.

◆ GetRuntimeClass()

virtual const mrpt::rtti::TRuntimeClassId* mrpt::poses::CPose3DPDFGaussian::GetRuntimeClass ( ) const
overridevirtual

Returns information about the class of an object in runtime.

Reimplemented from mrpt::poses::CPose3DPDF.

◆ GetRuntimeClassIdStatic()

static const mrpt::rtti::TRuntimeClassId& mrpt::poses::CPose3DPDFGaussian::GetRuntimeClassIdStatic ( )
static

◆ inverse()

void CPose3DPDFGaussian::inverse ( CPose3DPDF o) const
overridevirtual

Returns a new PDF such as: NEW_PDF = (0,0,0) - THIS_PDF.

Implements mrpt::poses::CPose3DPDF.

Definition at line 408 of file CPose3DPDFGaussian.cpp.

References ASSERT_, CLASS_ID, mrpt::poses::CPose3DPDF::GetRuntimeClass(), and out.

Referenced by mrpt::hmtslam::CHMTSLAM::LSLAM_process_message_from_AA(), operator-(), and Pose3DPDFGaussTests::testPoseInverse().

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◆ is_3D()

static constexpr bool mrpt::poses::CPose3DPDF::is_3D ( )
inlinestaticinherited

Definition at line 105 of file CPose3DPDF.h.

References mrpt::poses::CPose3DPDF::is_3D_val.

◆ is_PDF()

static constexpr bool mrpt::poses::CPose3DPDF::is_PDF ( )
inlinestaticinherited

Definition at line 110 of file CPose3DPDF.h.

References mrpt::poses::CPose3DPDF::is_PDF_val.

◆ isInfType()

virtual bool mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::isInfType ( ) const
inlinevirtualinherited

Returns whether the class instance holds the uncertainty in covariance or information form.

Note
By default this is going to be covariance form. *Inf classes (e.g. CPosePDFGaussianInf) store it in information form.
See also
mrpt::traits::is_inf_type

Reimplemented in mrpt::poses::CPose3DPDFGaussianInf.

Definition at line 123 of file CProbabilityDensityFunction.h.

◆ jacobiansPoseComposition()

void CPose3DPDF::jacobiansPoseComposition ( const CPose3D x,
const CPose3D u,
mrpt::math::CMatrixDouble66 df_dx,
mrpt::math::CMatrixDouble66 df_du 
)
staticinherited

This static method computes the pose composition Jacobians.

See this techical report: http:///www.mrpt.org/6D_poses:equivalences_compositions_and_uncertainty

Direct equations (for the covariances) in yaw-pitch-roll are too complex. Make a way around them and consider instead this path:

X(6D) U(6D)
| |
v v
X(7D) U(7D)
| |
+--- (+) ---+
|
v
RES(7D)
|
v
RES(6D)

Definition at line 129 of file CPose3DPDF.cpp.

References mrpt::math::CMatrixFixed< T, ROWS, COLS >::asEigen(), mrpt::math::CQuaternion< T >::crossProduct(), mrpt::poses::CPose3D::getAsQuaternion(), mrpt::math::MatrixBase< T, CMatrixFixed< T, ROWS, COLS > >::insertMatrix(), mrpt::poses::CPose3DQuatPDF::jacobiansPoseComposition(), mrpt::math::CQuaternion< T >::normalizationJacobian(), mrpt::obs::gnss::pitch, mrpt::poses::CPose3DQuat::quat(), mrpt::obs::gnss::roll, mrpt::math::CQuaternion< T >::rpy_and_jacobian(), mrpt::math::UNINITIALIZED_MATRIX, and mrpt::math::UNINITIALIZED_QUATERNION.

Referenced by changeCoordinatesReference(), mrpt::poses::CPose3DPDFGaussianInf::operator+=(), operator+=(), and Pose3DPDFGaussTests::testCompositionJacobian().

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◆ mahalanobisDistanceTo()

double CPose3DPDFGaussian::mahalanobisDistanceTo ( const CPose3DPDFGaussian theOther)

Computes the Mahalanobis distance between the centers of two Gaussians.

The variables with a variance exactly equal to 0 are not taken into account in the process, but "infinity" is returned if the corresponding elements are not exactly equal.

Definition at line 555 of file CPose3DPDFGaussian.cpp.

References cov, mrpt::math::MatrixBase< Scalar, Derived >::inverse_LLt(), mean, MRPT_END, MRPT_START, and mrpt::math::multiply_HtCH_scalar().

Referenced by mrpt::hmtslam::CHMTSLAM::LSLAM_process_message_from_TBI().

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◆ operator+=() [1/2]

void CPose3DPDFGaussian::operator+= ( const CPose3D Ap)

Makes: thisPDF = thisPDF + Ap, where "+" is pose composition (both the mean, and the covariance matrix are updated).

Definition at line 424 of file CPose3DPDFGaussian.cpp.

References mrpt::poses::CPose3D::composeFrom(), cov, mrpt::poses::CPose3DPDF::jacobiansPoseComposition(), mean, mrpt::math::multiply_HCHt(), and mrpt::math::UNINITIALIZED_MATRIX.

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◆ operator+=() [2/2]

void CPose3DPDFGaussian::operator+= ( const CPose3DPDFGaussian Ap)

Makes: thisPDF = thisPDF + Ap, where "+" is pose composition (both the mean, and the covariance matrix are updated).

Definition at line 446 of file CPose3DPDFGaussian.cpp.

References copyFrom().

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◆ operator-()

CPose3DPDFGaussian mrpt::poses::CPose3DPDFGaussian::operator- ( ) const
inline

Unary - operator, returns the PDF of the inverse pose.

Definition at line 162 of file CPose3DPDFGaussian.h.

References inverse(), and mrpt::poses::UNINITIALIZED_POSE.

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◆ operator-=()

void CPose3DPDFGaussian::operator-= ( const CPose3DPDFGaussian Ap)

Makes: thisPDF = thisPDF - Ap, where "-" is pose inverse composition (both the mean, and the covariance matrix are updated).

Definition at line 475 of file CPose3DPDFGaussian.cpp.

References copyFrom().

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◆ saveToTextFile()

bool CPose3DPDFGaussian::saveToTextFile ( const std::string &  file) const
overridevirtual

Save the PDF to a text file, containing the 3D pose in the first line, then the covariance matrix in next 3 lines.

Implements mrpt::math::CProbabilityDensityFunction< CPose3D, 6 >.

Definition at line 276 of file CPose3DPDFGaussian.cpp.

References cov, mrpt::system::os::fclose(), mrpt::system::os::fopen(), mrpt::system::os::fprintf(), mean, mrpt::poses::CPose3D::pitch(), mrpt::poses::CPose3D::roll(), mrpt::poses::CPoseOrPoint< DERIVEDCLASS, DIM >::x(), mrpt::poses::CPoseOrPoint< DERIVEDCLASS, DIM >::y(), and mrpt::poses::CPose3D::yaw().

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◆ serializeFrom() [1/2]

void CPose3DPDFGaussian::serializeFrom ( mrpt::serialization::CArchive in,
uint8_t  serial_version 
)
overrideprotectedvirtual

Pure virtual method for reading (deserializing) from an abstract archive.

Users don't call this method directly. Instead, use stream >> object;.

Parameters
inThe input binary stream where the object data must read from.
versionThe version of the object stored in the stream: use this version number in your code to know how to read the incoming data.
Exceptions
std::exceptionOn any I/O error

Implements mrpt::serialization::CSerializable.

Definition at line 229 of file CPose3DPDFGaussian.cpp.

References cov, mrpt::math::deserializeSymmetricMatrixFrom(), mean, and MRPT_THROW_UNKNOWN_SERIALIZATION_VERSION.

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◆ serializeFrom() [2/2]

virtual void mrpt::serialization::CSerializable::serializeFrom ( CSchemeArchiveBase in)
inlineprotectedvirtualinherited

Virtual method for reading (deserializing) from an abstract schema based archive.

Definition at line 74 of file CSerializable.h.

References mrpt::serialization::CSerializable::GetRuntimeClass(), and THROW_EXCEPTION.

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◆ serializeGetVersion()

uint8_t CPose3DPDFGaussian::serializeGetVersion ( ) const
overrideprotectedvirtual

Must return the current versioning number of the object.

Start in zero for new classes, and increments each time there is a change in the stored format.

Implements mrpt::serialization::CSerializable.

Definition at line 223 of file CPose3DPDFGaussian.cpp.

◆ serializeTo() [1/2]

void CPose3DPDFGaussian::serializeTo ( mrpt::serialization::CArchive out) const
overrideprotectedvirtual

Pure virtual method for writing (serializing) to an abstract archive.

Users don't call this method directly. Instead, use stream << object;.

Exceptions
std::exceptionOn any I/O error

Implements mrpt::serialization::CSerializable.

Definition at line 224 of file CPose3DPDFGaussian.cpp.

References cov, mean, out, and mrpt::math::serializeSymmetricMatrixTo().

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◆ serializeTo() [2/2]

virtual void mrpt::serialization::CSerializable::serializeTo ( CSchemeArchiveBase out) const
inlineprotectedvirtualinherited

Virtual method for writing (serializing) to an abstract schema based archive.

Definition at line 64 of file CSerializable.h.

References mrpt::serialization::CSerializable::GetRuntimeClass(), and THROW_EXCEPTION.

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◆ writeToMatlab()

virtual mxArray* mrpt::serialization::CSerializable::writeToMatlab ( ) const
inlinevirtualinherited

Introduces a pure virtual method responsible for writing to a mxArray Matlab object, typically a MATLAB struct whose contents are documented in each derived class.

Returns
A new mxArray (caller is responsible of memory freeing) or nullptr is class does not support conversion to MATLAB.

Definition at line 90 of file CSerializable.h.

Member Data Documentation

◆ className

constexpr const char* mrpt::poses::CPose3DPDFGaussian::className = "mrpt::poses" "::" "CPose3DPDFGaussian"
static

Definition at line 41 of file CPose3DPDFGaussian.h.

◆ cov

mrpt::math::CMatrixDouble66 mrpt::poses::CPose3DPDFGaussian::cov

◆ mean

CPose3D mrpt::poses::CPose3DPDFGaussian::mean

◆ runtimeClassId

const mrpt::rtti::TRuntimeClassId mrpt::poses::CPose3DPDFGaussian::runtimeClassId
staticprotected

Definition at line 41 of file CPose3DPDFGaussian.h.

◆ state_length

constexpr size_t mrpt::math::CProbabilityDensityFunction< CPose3D , STATE_LEN >::state_length
staticinherited

The length of the variable, for example, 3 for a 3D point, 6 for a 3D pose (x y z yaw pitch roll).

Definition at line 32 of file CProbabilityDensityFunction.h.




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