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mrpt::poses::CPointPDFGaussian Class Referenceabstract

Detailed Description

A gaussian distribution for 3D points.

Also a method for bayesian fusion is provided.

See also
CPointPDF

Definition at line 25 of file CPointPDFGaussian.h.

#include <mrpt/poses/CPointPDFGaussian.h>

Inheritance diagram for mrpt::poses::CPointPDFGaussian:
Inheritance graph

Public Types

enum  { is_3D_val = 1 }
 
enum  { is_PDF_val = 1 }
 
typedef CPoint3D type_value
 The type of the state the PDF represents. More...
 
typedef CProbabilityDensityFunction< CPoint3D, STATE_LEN > self_t
 

Public Member Functions

voidoperator new (size_t size)
 
voidoperator new[] (size_t size)
 
void operator delete (void *ptr) noexcept
 
void operator delete[] (void *ptr) noexcept
 
void operator delete (void *memory, void *ptr) noexcept
 
voidoperator new (size_t size, const std::nothrow_t &) noexcept
 
void operator delete (void *ptr, const std::nothrow_t &) noexcept
 
 CPointPDFGaussian ()
 Default constructor. More...
 
 CPointPDFGaussian (const CPoint3D &init_Mean)
 Constructor. More...
 
 CPointPDFGaussian (const CPoint3D &init_Mean, const mrpt::math::CMatrixDouble33 &init_Cov)
 Constructor. More...
 
void getMean (CPoint3D &p) const override
 Returns an estimate of the point, (the mean, or mathematical expectation of the PDF) More...
 
void getCovarianceAndMean (mrpt::math::CMatrixDouble33 &cov, CPoint3D &mean_point) const override
 Returns an estimate of the point covariance matrix (3x3 cov matrix) and the mean, both at once. More...
 
void copyFrom (const CPointPDF &o) override
 Copy operator, translating if necesary (for example, between particles and gaussian representations) More...
 
void saveToTextFile (const std::string &file) const override
 Save PDF's particles to a text file, containing the 2D 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 bayesianFusion (const CPointPDFGaussian &p1, const CPointPDFGaussian &p2)
 Bayesian fusion of two points gauss. More...
 
double productIntegralWith (const CPointPDFGaussian &p) const
 Computes the "correspondence likelihood" of this PDF with another one: This is implemented as the integral from -inf to +inf of the product of both PDF. More...
 
double productIntegralWith2D (const CPointPDFGaussian &p) const
 Computes the "correspondence likelihood" of this PDF with another one: This is implemented as the integral from -inf to +inf of the product of both PDF. More...
 
double productIntegralNormalizedWith (const CPointPDFGaussian &p) const
 Computes the "correspondence likelihood" of this PDF with another one: This is implemented as the integral from -inf to +inf of the product of both PDF. More...
 
double productIntegralNormalizedWith2D (const CPointPDFGaussian &p) const
 Computes the "correspondence likelihood" of this PDF with another one: This is implemented as the integral from -inf to +inf of the product of both PDF. More...
 
void drawSingleSample (CPoint3D &outSample) const override
 Draw a sample from the pdf. More...
 
void bayesianFusion (const CPointPDF &p1, const CPointPDF &p2, const double &minMahalanobisDistToDrop=0) override
 Bayesian fusion of two point distributions (product of two distributions->new distribution), then save the result in this object (WARNING: See implementing classes to see classes that can and cannot be mixtured!) More...
 
double mahalanobisDistanceTo (const CPointPDFGaussian &other, bool only_2D=false) const
 Returns the Mahalanobis distance from this PDF to another PDF, that is, it's evaluation at (0,0,0) 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 , class OPENGL_SETOFOBJECTS >
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 (CPoint3D &mean_point) const=0
 Returns the mean, or mathematical expectation of the probability density distribution (PDF). More...
 
virtual void getCovarianceAndMean (mrpt::math::CMatrixFixedNumeric< double, STATE_LEN, STATE_LEN > &cov, CPoint3D &mean_point) const=0
 Returns an estimate of the pose covariance matrix (STATE_LENxSTATE_LEN cov matrix) and the mean, both at once. More...
 
void getCovarianceDynAndMean (mrpt::math::CMatrixDouble &cov, CPoint3D &mean_point) const
 Returns an estimate of the pose covariance matrix (STATE_LENxSTATE_LEN cov matrix) and the mean, both at once. More...
 
CPoint3D 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 (mrpt::math::CMatrixFixedNumeric< double, STATE_LEN, STATE_LEN > &cov) const
 Returns the estimate of the covariance matrix (STATE_LEN x STATE_LEN covariance matrix) More...
 
mrpt::math::CMatrixFixedNumeric< double, STATE_LEN, STATE_LEN > 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 (mrpt::math::CMatrixFixedNumeric< double, STATE_LEN, STATE_LEN > &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 (CPoint3D &outPart) const=0
 Draws a single sample from the distribution. More...
 
virtual void drawManySamples (size_t N, std::vector< mrpt::math::CVectorDouble > &outSamples) const
 Draws a number of samples from the distribution, and saves as a list of 1xSTATE_LEN vectors, where each row contains a (x,y,z,yaw,pitch,roll) datum. More...
 
double getCovarianceEntropy () const
 Compute the entropy of the estimated covariance matrix. More...
 
RTTI classes and functions
mrpt::utils::CObject::Ptr duplicateGetSmartPtr () const
 Returns a copy of the object, indepently of its class, as a smart pointer (the newly created object will exist as long as any copy of this smart pointer). More...
 

Static Public Member Functions

static voidoperator new (size_t size, void *ptr)
 
static bool is_3D ()
 
static bool is_PDF ()
 

Public Attributes

CPoint3D mean
 The mean value. More...
 
mrpt::math::CMatrixDouble33 cov
 The 3x3 covariance matrix. More...
 

Static Public Attributes

static const 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

CSerializable virtual methods
void writeToStream (mrpt::utils::CStream &out, int *getVersion) const override
 Introduces a pure virtual method responsible for writing to a CStream. More...
 
void readFromStream (mrpt::utils::CStream &in, int version) override
 Introduces a pure virtual method responsible for loading from a CStream This can not be used directly be users, instead use "stream >> object;" for reading it from a stream or "stream >> object_ptr;" if the class is unknown apriori. More...
 

RTTI stuff

using Ptr = std::shared_ptr< CPointPDFGaussian >
 
using ConstPtr = std::shared_ptr< const CPointPDFGaussian >
 
static mrpt::utils::CLASSINIT _init_CPointPDFGaussian
 
static const mrpt::utils::TRuntimeClassId runtimeClassId
 
static constexpr const char * className = "CPointPDFGaussian"
 
static const mrpt::utils::TRuntimeClassId_GetBaseClass ()
 
static const mrpt::utils::TRuntimeClassIdGetRuntimeClassIdStatic ()
 
static mrpt::utils::CObjectCreateObject ()
 
template<typename... Args>
static Ptr Create (Args &&... args)
 
virtual const mrpt::utils::TRuntimeClassIdGetRuntimeClass () const override
 Returns information about the class of an object in runtime. More...
 
virtual mrpt::utils::CObjectclone () const override
 Returns a deep copy (clone) of the object, indepently of its class. More...
 

Member Typedef Documentation

◆ ConstPtr

Definition at line 27 of file CPointPDFGaussian.h.

◆ Ptr

A typedef for the associated smart pointer

Definition at line 27 of file CPointPDFGaussian.h.

◆ self_t

typedef CProbabilityDensityFunction<CPoint3D , STATE_LEN> mrpt::utils::CProbabilityDensityFunction< CPoint3D , STATE_LEN >::self_t
inherited

Definition at line 37 of file CProbabilityDensityFunction.h.

◆ type_value

The type of the state the PDF represents.

Definition at line 36 of file CProbabilityDensityFunction.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum
inherited
Enumerator
is_3D_val 

Definition at line 64 of file CPointPDF.h.

◆ anonymous enum

anonymous enum
inherited
Enumerator
is_PDF_val 

Definition at line 69 of file CPointPDF.h.

Constructor & Destructor Documentation

◆ CPointPDFGaussian() [1/3]

CPointPDFGaussian::CPointPDFGaussian ( )

Default constructor.

Definition at line 30 of file CPointPDFGaussian.cpp.

◆ CPointPDFGaussian() [2/3]

CPointPDFGaussian::CPointPDFGaussian ( const CPoint3D init_Mean)

Constructor.

Definition at line 43 of file CPointPDFGaussian.cpp.

References cov.

◆ CPointPDFGaussian() [3/3]

CPointPDFGaussian::CPointPDFGaussian ( const CPoint3D init_Mean,
const mrpt::math::CMatrixDouble33 init_Cov 
)

Constructor.

Definition at line 34 of file CPointPDFGaussian.cpp.

Member Function Documentation

◆ _GetBaseClass()

static const mrpt::utils::TRuntimeClassId* mrpt::poses::CPointPDFGaussian::_GetBaseClass ( )
staticprotected

◆ bayesianFusion() [1/2]

void CPointPDFGaussian::bayesianFusion ( const CPointPDFGaussian p1,
const CPointPDFGaussian p2 
)

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 );

Definition at line 152 of file CPointPDFGaussian.cpp.

References cov, inv(), mean, MRPT_END, MRPT_START, mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::x(), and mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::y().

Referenced by mrpt::poses::CPointPDFSOG::bayesianFusion(), and mrpt::maps::CLandmarksMap::fuseWith().

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◆ bayesianFusion() [2/2]

void CPointPDFGaussian::bayesianFusion ( const CPointPDF p1,
const CPointPDF p2,
const double &  minMahalanobisDistToDrop = 0 
)
overridevirtual

Bayesian fusion of two point distributions (product of two distributions->new distribution), then save the result in this object (WARNING: See implementing classes to see classes that can and cannot be mixtured!)

Parameters
p1The first distribution to fuse
p2The second distribution to fuse
minMahalanobisDistToDropIf set to different of 0, the result of very separate Gaussian modes (that will result in negligible components) in SOGs will be dropped to reduce the number of modes in the output.

Implements mrpt::poses::CPointPDF.

Definition at line 286 of file CPointPDFGaussian.cpp.

References ASSERT_, CLASS_ID, mrpt::poses::CPointPDF::GetRuntimeClass(), MRPT_END, MRPT_START, MRPT_UNUSED_PARAM, and THROW_EXCEPTION.

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◆ changeCoordinatesReference()

void CPointPDFGaussian::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. Both the mean value and the covariance matrix are updated correctly.

Implements mrpt::utils::CProbabilityDensityFunction< CPoint3D, 3 >.

Definition at line 137 of file CPointPDFGaussian.cpp.

References cov, mrpt::poses::CPose3D::getRotationMatrix(), and mean.

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◆ clone()

virtual mrpt::utils::CObject* mrpt::poses::CPointPDFGaussian::clone ( ) const
overridevirtual

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

Implements mrpt::utils::CObject.

◆ copyFrom()

void CPointPDFGaussian::copyFrom ( const CPointPDF o)
overridevirtual

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

Implements mrpt::poses::CPointPDF.

Definition at line 105 of file CPointPDFGaussian.cpp.

References cov, mrpt::utils::CProbabilityDensityFunction< TDATA, STATE_LEN >::getCovarianceAndMean(), and mean.

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◆ Create()

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

Definition at line 27 of file CPointPDFGaussian.h.

◆ CreateObject()

static mrpt::utils::CObject* mrpt::poses::CPointPDFGaussian::CreateObject ( )
static

◆ drawManySamples()

virtual void mrpt::utils::CProbabilityDensityFunction< CPoint3D , STATE_LEN >::drawManySamples ( size_t  N,
std::vector< mrpt::math::CVectorDouble > &  outSamples 
) const
inlinevirtualinherited

Draws a number of samples from the distribution, and saves as a list of 1xSTATE_LEN vectors, where each row contains a (x,y,z,yaw,pitch,roll) datum.

This base method just call N times to drawSingleSample, but derived classes should implemented optimized method for each particular PDF.

Definition at line 154 of file CProbabilityDensityFunction.h.

◆ drawSingleSample() [1/2]

void CPointPDFGaussian::drawSingleSample ( CPoint3D outSample) const
override

◆ drawSingleSample() [2/2]

virtual void mrpt::utils::CProbabilityDensityFunction< CPoint3D , STATE_LEN >::drawSingleSample ( CPoint3D &  outPart) const
pure virtualinherited

Draws a single sample from the distribution.

◆ getAs3DObject() [1/2]

template<class OPENGL_SETOFOBJECTSPTR >
void mrpt::poses::CPointPDF::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()

Definition at line 83 of file CPointPDF.h.

References mrpt::opengl::posePDF2opengl().

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◆ getAs3DObject() [2/2]

template<class OPENGL_SETOFOBJECTSPTR , class OPENGL_SETOFOBJECTS >
OPENGL_SETOFOBJECTSPTR mrpt::poses::CPointPDF::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 94 of file CPointPDF.h.

References mrpt::opengl::posePDF2opengl().

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◆ getCovariance() [1/3]

void mrpt::utils::CProbabilityDensityFunction< CPoint3D , 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 81 of file CProbabilityDensityFunction.h.

◆ getCovariance() [2/3]

void mrpt::utils::CProbabilityDensityFunction< CPoint3D , STATE_LEN >::getCovariance ( mrpt::math::CMatrixFixedNumeric< double, STATE_LEN, STATE_LEN > &  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 91 of file CProbabilityDensityFunction.h.

◆ getCovariance() [3/3]

mrpt::math::CMatrixFixedNumeric<double, STATE_LEN, STATE_LEN> mrpt::utils::CProbabilityDensityFunction< CPoint3D , 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 104 of file CProbabilityDensityFunction.h.

◆ getCovarianceAndMean() [1/2]

virtual void mrpt::utils::CProbabilityDensityFunction< CPoint3D , STATE_LEN >::getCovarianceAndMean ( mrpt::math::CMatrixFixedNumeric< double, STATE_LEN, STATE_LEN > &  cov,
CPoint3D &  mean_point 
) const
pure virtualinherited

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

See also
getMean, getInformationMatrix

◆ getCovarianceAndMean() [2/2]

void CPointPDFGaussian::getCovarianceAndMean ( mrpt::math::CMatrixDouble33 cov,
CPoint3D mean_point 
) const
override

Returns an estimate of the point covariance matrix (3x3 cov matrix) and the mean, both at once.

See also
getMean

Definition at line 58 of file CPointPDFGaussian.cpp.

References cov, and mean.

◆ getCovarianceDynAndMean()

void mrpt::utils::CProbabilityDensityFunction< CPoint3D , STATE_LEN >::getCovarianceDynAndMean ( mrpt::math::CMatrixDouble cov,
CPoint3D &  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 57 of file CProbabilityDensityFunction.h.

◆ getCovarianceEntropy()

double mrpt::utils::CProbabilityDensityFunction< CPoint3D , 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 178 of file CProbabilityDensityFunction.h.

◆ getInformationMatrix()

virtual void mrpt::utils::CProbabilityDensityFunction< CPoint3D , STATE_LEN >::getInformationMatrix ( mrpt::math::CMatrixFixedNumeric< double, STATE_LEN, STATE_LEN > &  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 127 of file CProbabilityDensityFunction.h.

◆ getMean() [1/2]

virtual void mrpt::utils::CProbabilityDensityFunction< CPoint3D , STATE_LEN >::getMean ( CPoint3D &  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 CPointPDFGaussian::getMean ( CPoint3D p) const
override

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

Definition at line 54 of file CPointPDFGaussian.cpp.

References mean.

◆ getMeanVal()

CPoint3D mrpt::utils::CProbabilityDensityFunction< CPoint3D , STATE_LEN >::getMeanVal ( ) const
inlineinherited

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

See also
getCovariance, getInformationMatrix

Definition at line 70 of file CProbabilityDensityFunction.h.

◆ GetRuntimeClass()

virtual const mrpt::utils::TRuntimeClassId* mrpt::poses::CPointPDFGaussian::GetRuntimeClass ( ) const
overridevirtual

Returns information about the class of an object in runtime.

Reimplemented from mrpt::poses::CPointPDF.

◆ GetRuntimeClassIdStatic()

static const mrpt::utils::TRuntimeClassId& mrpt::poses::CPointPDFGaussian::GetRuntimeClassIdStatic ( )
static

◆ is_3D()

static bool mrpt::poses::CPointPDF::is_3D ( )
inlinestaticinherited

Definition at line 68 of file CPointPDF.h.

References mrpt::poses::CPointPDF::is_3D_val.

◆ is_PDF()

static bool mrpt::poses::CPointPDF::is_PDF ( )
inlinestaticinherited

Definition at line 73 of file CPointPDF.h.

References mrpt::poses::CPointPDF::is_PDF_val.

◆ isInfType()

virtual bool mrpt::utils::CProbabilityDensityFunction< CPoint3D , 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

Definition at line 120 of file CProbabilityDensityFunction.h.

◆ mahalanobisDistanceTo()

double CPointPDFGaussian::mahalanobisDistanceTo ( const CPointPDFGaussian other,
bool  only_2D = false 
) const

Returns the Mahalanobis distance from this PDF to another PDF, that is, it's evaluation at (0,0,0)

Definition at line 305 of file CPointPDFGaussian.cpp.

References cov, mean, mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::x(), and mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::y().

Referenced by productIntegralNormalizedWith(), and productIntegralNormalizedWith2D().

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◆ operator delete() [1/3]

void mrpt::poses::CPointPDFGaussian::operator delete ( void ptr)
inlinenoexcept

Definition at line 27 of file CPointPDFGaussian.h.

◆ operator delete() [2/3]

void mrpt::poses::CPointPDFGaussian::operator delete ( void ptr,
const std::nothrow_t &   
)
inlinenoexcept

Definition at line 27 of file CPointPDFGaussian.h.

◆ operator delete() [3/3]

void mrpt::poses::CPointPDFGaussian::operator delete ( void memory,
void ptr 
)
inlinenoexcept

Definition at line 27 of file CPointPDFGaussian.h.

◆ operator delete[]()

void mrpt::poses::CPointPDFGaussian::operator delete[] ( void ptr)
inlinenoexcept

Definition at line 27 of file CPointPDFGaussian.h.

◆ operator new() [1/3]

void* mrpt::poses::CPointPDFGaussian::operator new ( size_t  size,
const std::nothrow_t &   
)
inlinenoexcept

Definition at line 27 of file CPointPDFGaussian.h.

◆ operator new() [2/3]

static void* mrpt::poses::CPointPDFGaussian::operator new ( size_t  size,
void ptr 
)
inlinestatic

Definition at line 27 of file CPointPDFGaussian.h.

◆ operator new() [3/3]

void* mrpt::poses::CPointPDFGaussian::operator new ( size_t  size)
inline

Definition at line 27 of file CPointPDFGaussian.h.

◆ operator new[]()

void* mrpt::poses::CPointPDFGaussian::operator new[] ( size_t  size)
inline

Definition at line 27 of file CPointPDFGaussian.h.

◆ productIntegralNormalizedWith()

double CPointPDFGaussian::productIntegralNormalizedWith ( const CPointPDFGaussian p) const

Computes the "correspondence likelihood" of this PDF with another one: This is implemented as the integral from -inf to +inf of the product of both PDF.

The resulting number is in the range [0,1] Note that the resulting value is in fact

\[ exp( -\frac{1}{2} D^2 ) \]

, with $ D^2 $ being the square Mahalanobis distance between the two pdfs.

See also
productIntegralWith
Exceptions
std::exceptionOn errors like covariance matrix with null determinant, etc...

Definition at line 250 of file CPointPDFGaussian.cpp.

References mahalanobisDistanceTo(), and mrpt::math::square().

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◆ productIntegralNormalizedWith2D()

double CPointPDFGaussian::productIntegralNormalizedWith2D ( const CPointPDFGaussian p) const

Computes the "correspondence likelihood" of this PDF with another one: This is implemented as the integral from -inf to +inf of the product of both PDF.

The resulting number is in the range [0,1]. This versions ignores the "z" coordinate.

Note that the resulting value is in fact

\[ exp( -\frac{1}{2} D^2 ) \]

, with $ D^2 $ being the square Mahalanobis distance between the two pdfs.

See also
productIntegralWith
Exceptions
std::exceptionOn errors like covariance matrix with null determinant, etc...

Definition at line 259 of file CPointPDFGaussian.cpp.

References mahalanobisDistanceTo(), and mrpt::math::square().

Referenced by mrpt::maps::CLandmarksMap::computeLikelihood_RSLC_2007().

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◆ productIntegralWith()

double CPointPDFGaussian::productIntegralWith ( const CPointPDFGaussian p) const

Computes the "correspondence likelihood" of this PDF with another one: This is implemented as the integral from -inf to +inf of the product of both PDF.

The resulting number is >=0.

See also
productIntegralNormalizedWith
Exceptions
std::exceptionOn errors like covariance matrix with null determinant, etc...

Definition at line 190 of file CPointPDFGaussian.cpp.

References cov, M_2PI, mean, MRPT_END, MRPT_START, mrpt::utils::CProbabilityDensityFunction< CPoint3D, 3 >::state_length, mrpt::math::UNINITIALIZED_MATRIX, mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::x(), and mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::y().

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◆ productIntegralWith2D()

double CPointPDFGaussian::productIntegralWith2D ( const CPointPDFGaussian p) const

Computes the "correspondence likelihood" of this PDF with another one: This is implemented as the integral from -inf to +inf of the product of both PDF.

The resulting number is >=0. NOTE: This version ignores the "z" coordinates!!

See also
productIntegralNormalizedWith
Exceptions
std::exceptionOn errors like covariance matrix with null determinant, etc...

Definition at line 219 of file CPointPDFGaussian.cpp.

References cov, M_2PI, mean, MRPT_END, MRPT_START, mrpt::utils::CProbabilityDensityFunction< CPoint3D, 3 >::state_length, mrpt::math::UNINITIALIZED_MATRIX, mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::x(), and mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::y().

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◆ readFromStream()

void CPointPDFGaussian::readFromStream ( mrpt::utils::CStream in,
int  version 
)
overrideprotectedvirtual

Introduces a pure virtual method responsible for loading from a CStream This can not be used directly be users, instead use "stream >> object;" for reading it from a stream or "stream >> object_ptr;" if the class is unknown apriori.

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 error, see CStream::ReadBuffer
See also
CStream

Implements mrpt::utils::CSerializable.

Definition at line 82 of file CPointPDFGaussian.cpp.

References cov, mean, and MRPT_THROW_UNKNOWN_SERIALIZATION_VERSION.

◆ saveToTextFile()

void CPointPDFGaussian::saveToTextFile ( const std::string file) const
overridevirtual

Save PDF's particles to a text file, containing the 2D pose in the first line, then the covariance matrix in next 3 lines.

Implements mrpt::utils::CProbabilityDensityFunction< CPoint3D, 3 >.

Definition at line 116 of file CPointPDFGaussian.cpp.

References cov, mrpt::system::os::fclose(), mrpt::system::os::fopen(), mrpt::system::os::fprintf(), mean, MRPT_END, MRPT_START, mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::x(), and mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::y().

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◆ writeToMatlab()

virtual mxArray* mrpt::utils::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 89 of file CSerializable.h.

◆ writeToStream()

void CPointPDFGaussian::writeToStream ( mrpt::utils::CStream out,
int *  getVersion 
) const
overrideprotectedvirtual

Introduces a pure virtual method responsible for writing to a CStream.

This can not be used directly be users, instead use "stream << object;" for writing it to a stream.

Parameters
outThe output binary stream where object must be dumped.
getVersionIf nullptr, the object must be dumped. If not, only the version of the object dump must be returned in this pointer. This enables the versioning of objects dumping and backward compatibility with previously stored data.
Exceptions
std::exceptionOn any error, see CStream::WriteBuffer
See also
CStream

Implements mrpt::utils::CSerializable.

Definition at line 68 of file CPointPDFGaussian.cpp.

References cov, and mean.

Member Data Documentation

◆ _init_CPointPDFGaussian

mrpt::utils::CLASSINIT mrpt::poses::CPointPDFGaussian::_init_CPointPDFGaussian
staticprotected

Definition at line 27 of file CPointPDFGaussian.h.

◆ className

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

Definition at line 27 of file CPointPDFGaussian.h.

◆ cov

mrpt::math::CMatrixDouble33 mrpt::poses::CPointPDFGaussian::cov

◆ mean

CPoint3D mrpt::poses::CPointPDFGaussian::mean

◆ runtimeClassId

const mrpt::utils::TRuntimeClassId mrpt::poses::CPointPDFGaussian::runtimeClassId
staticprotected

Definition at line 27 of file CPointPDFGaussian.h.

◆ state_length

const size_t mrpt::utils::CProbabilityDensityFunction< CPoint3D , 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 34 of file CProbabilityDensityFunction.h.

Referenced by productIntegralWith(), and productIntegralWith2D().




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