A gaussian distribution for 2D points.
Also a method for bayesian fusion is provided.
Definition at line 23 of file CPoint2DPDFGaussian.h.
#include <mrpt/poses/CPoint2DPDFGaussian.h>
Public Types | |
enum | { is_3D_val = 0 } |
enum | { is_PDF_val = 1 } |
using | type_value = CPoint2D |
The type of the state the PDF represents. More... | |
using | self_t = CProbabilityDensityFunction< CPoint2D, STATE_LEN > |
Public Member Functions | |
void * | operator new (size_t size) |
void * | operator new[] (size_t size) |
void | operator delete (void *ptr) noexcept |
void | operator delete[] (void *ptr) noexcept |
void | operator delete (void *memory, void *ptr) noexcept |
void * | operator new (size_t size, const std::nothrow_t &) noexcept |
void | operator delete (void *ptr, const std::nothrow_t &) noexcept |
CPoint2DPDFGaussian () | |
Default constructor. More... | |
CPoint2DPDFGaussian (const CPoint2D &init_Mean) | |
Constructor. More... | |
CPoint2DPDFGaussian (const CPoint2D &init_Mean, const mrpt::math::CMatrixDouble22 &init_Cov) | |
Constructor. More... | |
void | getMean (CPoint2D &p) const override |
Returns an estimate of the point, (the mean, or mathematical expectation of the PDF) More... | |
void | getCovarianceAndMean (mrpt::math::CMatrixDouble22 &out_cov, CPoint2D &mean_point) const override |
Returns an estimate of the point covariance matrix (2x2 cov matrix) and the mean, both at once. More... | |
void | copyFrom (const CPoint2DPDF &o) override |
Copy operator, translating if necesary (for example, between particles and gaussian representations) More... | |
bool | 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 CPoint2DPDFGaussian &p1, const CPoint2DPDFGaussian &p2) |
Bayesian fusion of two points gauss. More... | |
double | productIntegralWith (const CPoint2DPDFGaussian &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 CPoint2DPDFGaussian &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 (CPoint2D &outSample) const override |
Draw a sample from the pdf. More... | |
void | bayesianFusion (const CPoint2DPDF &p1, const CPoint2DPDF &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 CPoint2DPDFGaussian &other) const |
Returns the Mahalanobis distance from this PDF to another PDF, that is, it's evaluation at (0,0,0) More... | |
double | mahalanobisDistanceToPoint (const double x, const double y) const |
Returns the Mahalanobis distance from this PDF to some point. More... | |
virtual mxArray * | writeToMatlab () 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 (CPoint2D &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, CPoint2D &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, CPoint2D &mean_point) const |
Returns an estimate of the pose covariance matrix (STATE_LENxSTATE_LEN cov matrix) and the mean, both at once. More... | |
CPoint2D | 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 (CPoint2D &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... | |
Static Public Member Functions | |
static void * | operator new (size_t size, void *ptr) |
static bool | is_3D () |
static bool | is_PDF () |
Public Attributes | |
CPoint2D | mean |
The mean value. More... | |
mrpt::math::CMatrixDouble22 | cov |
The 2x2 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 | |
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... | |
RTTI stuff | |
using | Ptr = std::shared_ptr< CPoint2DPDFGaussian > |
using | ConstPtr = std::shared_ptr< const CPoint2DPDFGaussian > |
using | UniquePtr = std::unique_ptr< CPoint2DPDFGaussian > |
using | ConstUniquePtr = std::unique_ptr< const CPoint2DPDFGaussian > |
static mrpt::rtti::CLASSINIT | _init_CPoint2DPDFGaussian |
static const mrpt::rtti::TRuntimeClassId | runtimeClassId |
static constexpr const char * | className = "CPoint2DPDFGaussian" |
static const mrpt::rtti::TRuntimeClassId * | _GetBaseClass () |
static constexpr auto | getClassName () |
static const mrpt::rtti::TRuntimeClassId & | GetRuntimeClassIdStatic () |
static mrpt::rtti::CObject * | CreateObject () |
template<typename... Args> | |
static Ptr | Create (Args &&... args) |
template<typename... Args> | |
static UniquePtr | CreateUnique (Args &&... args) |
virtual const mrpt::rtti::TRuntimeClassId * | GetRuntimeClass () const override |
Returns information about the class of an object in runtime. More... | |
virtual mrpt::rtti::CObject * | clone () const override |
Returns a deep copy (clone) of the object, indepently of its class. More... | |
using mrpt::poses::CPoint2DPDFGaussian::ConstPtr = std::shared_ptr<const CPoint2DPDFGaussian > |
Definition at line 25 of file CPoint2DPDFGaussian.h.
using mrpt::poses::CPoint2DPDFGaussian::ConstUniquePtr = std::unique_ptr<const CPoint2DPDFGaussian > |
Definition at line 25 of file CPoint2DPDFGaussian.h.
using mrpt::poses::CPoint2DPDFGaussian::Ptr = std::shared_ptr< CPoint2DPDFGaussian > |
A type for the associated smart pointer
Definition at line 25 of file CPoint2DPDFGaussian.h.
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inherited |
Definition at line 36 of file CProbabilityDensityFunction.h.
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inherited |
The type of the state the PDF represents.
Definition at line 35 of file CProbabilityDensityFunction.h.
using mrpt::poses::CPoint2DPDFGaussian::UniquePtr = std::unique_ptr< CPoint2DPDFGaussian > |
Definition at line 25 of file CPoint2DPDFGaussian.h.
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inherited |
Enumerator | |
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is_3D_val |
Definition at line 63 of file CPoint2DPDF.h.
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inherited |
Enumerator | |
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is_PDF_val |
Definition at line 68 of file CPoint2DPDF.h.
CPoint2DPDFGaussian::CPoint2DPDFGaussian | ( | ) |
Default constructor.
Definition at line 32 of file CPoint2DPDFGaussian.cpp.
CPoint2DPDFGaussian::CPoint2DPDFGaussian | ( | const CPoint2D & | init_Mean | ) |
Constructor.
Definition at line 45 of file CPoint2DPDFGaussian.cpp.
CPoint2DPDFGaussian::CPoint2DPDFGaussian | ( | const CPoint2D & | init_Mean, |
const mrpt::math::CMatrixDouble22 & | init_Cov | ||
) |
Constructor.
Definition at line 36 of file CPoint2DPDFGaussian.cpp.
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staticprotected |
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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!)
p1 | The first distribution to fuse |
p2 | The second distribution to fuse |
minMahalanobisDistToDrop | If 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::CPoint2DPDF.
Definition at line 203 of file CPoint2DPDFGaussian.cpp.
References ASSERT_, CLASS_ID, mrpt::poses::CPoint2DPDF::GetRuntimeClass(), MRPT_END, MRPT_START, MRPT_UNUSED_PARAM, and THROW_EXCEPTION.
void CPoint2DPDFGaussian::bayesianFusion | ( | const CPoint2DPDFGaussian & | p1, |
const CPoint2DPDFGaussian & | p2 | ||
) |
Bayesian fusion of two points gauss.
distributions, then save the result in this object. The process is as follows:
S = (S1-1 + S2-1)-1; x = S * ( S1-1*x1 + S2-1*x2 );
Definition at line 118 of file CPoint2DPDFGaussian.cpp.
References cov, mean, MRPT_END, MRPT_START, mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::x(), and mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::y().
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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::poses::CPoint2DPDF.
Definition at line 101 of file CPoint2DPDFGaussian.cpp.
References cov, mrpt::poses::CPose3D::getRotationMatrix(), and mean.
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overridevirtual |
Returns a deep copy (clone) of the object, indepently of its class.
Implements mrpt::rtti::CObject.
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overridevirtual |
Copy operator, translating if necesary (for example, between particles and gaussian representations)
Implements mrpt::poses::CPoint2DPDF.
Definition at line 70 of file CPoint2DPDFGaussian.cpp.
References cov, mrpt::math::CProbabilityDensityFunction< TDATA, STATE_LEN >::getCovarianceAndMean(), and mean.
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inlinestatic |
Definition at line 25 of file CPoint2DPDFGaussian.h.
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static |
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inlinestatic |
Definition at line 25 of file CPoint2DPDFGaussian.h.
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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.
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pure virtualinherited |
Draws a single sample from the distribution.
Draw a sample from the pdf.
Definition at line 184 of file CPoint2DPDFGaussian.cpp.
References ASSERT_, cov, mrpt::random::CRandomGenerator::drawGaussianMultivariate(), mrpt::random::getRandomGenerator(), mean, MRPT_END, MRPT_START, mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::x(), and mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::y().
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inlineinherited |
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).
Definition at line 169 of file CObject.h.
References mrpt::rtti::CObject::clone().
Referenced by mrpt::obs::CRawlog::addActions(), and mrpt::obs::CRawlog::addObservations().
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inlinestaticconstexpr |
Definition at line 25 of file CPoint2DPDFGaussian.h.
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inlineinherited |
Returns the estimate of the covariance matrix (STATE_LEN x STATE_LEN covariance matrix)
Definition at line 103 of file CProbabilityDensityFunction.h.
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inlineinherited |
Returns the estimate of the covariance matrix (STATE_LEN x STATE_LEN covariance matrix)
Definition at line 80 of file CProbabilityDensityFunction.h.
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inlineinherited |
Returns the estimate of the covariance matrix (STATE_LEN x STATE_LEN covariance matrix)
Definition at line 90 of file CProbabilityDensityFunction.h.
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inlineoverride |
Returns an estimate of the point covariance matrix (2x2 cov matrix) and the mean, both at once.
Definition at line 46 of file CPoint2DPDFGaussian.h.
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pure virtualinherited |
Returns an estimate of the pose covariance matrix (STATE_LENxSTATE_LEN cov matrix) and the mean, both at once.
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inlineinherited |
Returns an estimate of the pose covariance matrix (STATE_LENxSTATE_LEN cov matrix) and the mean, both at once.
Definition at line 56 of file CProbabilityDensityFunction.h.
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inlineinherited |
Compute the entropy of the estimated covariance matrix.
Definition at line 170 of file CProbabilityDensityFunction.h.
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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.
Definition at line 126 of file CProbabilityDensityFunction.h.
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pure virtualinherited |
Returns the mean, or mathematical expectation of the probability density distribution (PDF).
Returns an estimate of the point, (the mean, or mathematical expectation of the PDF)
Definition at line 43 of file CPoint2DPDFGaussian.h.
References mean.
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inlineinherited |
Returns the mean, or mathematical expectation of the probability density distribution (PDF).
Definition at line 69 of file CProbabilityDensityFunction.h.
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overridevirtual |
Returns information about the class of an object in runtime.
Reimplemented from mrpt::poses::CPoint2DPDF.
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static |
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inlinestaticinherited |
Definition at line 67 of file CPoint2DPDF.h.
References mrpt::poses::CPoint2DPDF::is_3D_val.
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inlinestaticinherited |
Definition at line 72 of file CPoint2DPDF.h.
References mrpt::poses::CPoint2DPDF::is_PDF_val.
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inlinevirtualinherited |
Returns whether the class instance holds the uncertainty in covariance or information form.
Definition at line 119 of file CProbabilityDensityFunction.h.
double CPoint2DPDFGaussian::mahalanobisDistanceTo | ( | const CPoint2DPDFGaussian & | other | ) | const |
Returns the Mahalanobis distance from this PDF to another PDF, that is, it's evaluation at (0,0,0)
Definition at line 222 of file CPoint2DPDFGaussian.cpp.
References cov, mean, mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::x(), and mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::y().
Referenced by mrpt::slam::CGridMapAligner::AlignPDF_robustMatch(), and productIntegralNormalizedWith().
double CPoint2DPDFGaussian::mahalanobisDistanceToPoint | ( | const double | x, |
const double | y | ||
) | const |
Returns the Mahalanobis distance from this PDF to some point.
Definition at line 236 of file CPoint2DPDFGaussian.cpp.
References mean, mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::x(), and mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::y().
Referenced by mrpt::tfest::se2_l2_robust().
Definition at line 25 of file CPoint2DPDFGaussian.h.
Definition at line 25 of file CPoint2DPDFGaussian.h.
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inlinenoexcept |
Definition at line 25 of file CPoint2DPDFGaussian.h.
Definition at line 25 of file CPoint2DPDFGaussian.h.
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inline |
Definition at line 25 of file CPoint2DPDFGaussian.h.
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inlinenoexcept |
Definition at line 25 of file CPoint2DPDFGaussian.h.
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inlinestatic |
Definition at line 25 of file CPoint2DPDFGaussian.h.
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inline |
Definition at line 25 of file CPoint2DPDFGaussian.h.
double CPoint2DPDFGaussian::productIntegralNormalizedWith | ( | const CPoint2DPDFGaussian & | 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
, with being the square Mahalanobis distance between the two pdfs.
std::exception | On errors like covariance matrix with null determinant, etc... |
Definition at line 175 of file CPoint2DPDFGaussian.cpp.
References mahalanobisDistanceTo(), and mrpt::square().
double CPoint2DPDFGaussian::productIntegralWith | ( | const CPoint2DPDFGaussian & | 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.
std::exception | On errors like covariance matrix with null determinant, etc... |
Definition at line 147 of file CPoint2DPDFGaussian.cpp.
References cov, M_2PI, mean, MRPT_END, MRPT_START, mrpt::math::CProbabilityDensityFunction< CPoint2D, 2 >::state_length, mrpt::math::UNINITIALIZED_MATRIX, mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::x(), and mrpt::poses::CPoseOrPoint< DERIVEDCLASS >::y().
Referenced by mrpt::slam::CGridMapAligner::AlignPDF_robustMatch().
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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::math::CProbabilityDensityFunction< CPoint2D, 2 >.
Definition at line 81 of file CPoint2DPDFGaussian.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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overrideprotectedvirtual |
Pure virtual method for reading (deserializing) from an abstract archive.
Users don't call this method directly. Instead, use stream >> object;
.
in | The input binary stream where the object data must read from. |
version | The version of the object stored in the stream: use this version number in your code to know how to read the incoming data. |
std::exception | On any I/O error |
Implements mrpt::serialization::CSerializable.
Definition at line 55 of file CPoint2DPDFGaussian.cpp.
References cov, mean, and MRPT_THROW_UNKNOWN_SERIALIZATION_VERSION.
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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 50 of file CPoint2DPDFGaussian.cpp.
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overrideprotectedvirtual |
Pure virtual method for writing (serializing) to an abstract archive.
Users don't call this method directly. Instead, use stream << object;
.
std::exception | On any I/O error |
Implements mrpt::serialization::CSerializable.
Definition at line 51 of file CPoint2DPDFGaussian.cpp.
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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.
mxArray
(caller is responsible of memory freeing) or nullptr is class does not support conversion to MATLAB. Definition at line 70 of file CSerializable.h.
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staticprotected |
Definition at line 25 of file CPoint2DPDFGaussian.h.
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staticconstexpr |
Definition at line 25 of file CPoint2DPDFGaussian.h.
mrpt::math::CMatrixDouble22 mrpt::poses::CPoint2DPDFGaussian::cov |
The 2x2 covariance matrix.
Definition at line 39 of file CPoint2DPDFGaussian.h.
Referenced by mrpt::slam::CGridMapAligner::AlignPDF_robustMatch(), bayesianFusion(), changeCoordinatesReference(), copyFrom(), drawSingleSample(), mrpt::slam::CRangeBearingKFSLAM2D::getAs3DObject(), getCovarianceAndMean(), mahalanobisDistanceTo(), productIntegralWith(), saveToTextFile(), serializeFrom(), and serializeTo().
CPoint2D mrpt::poses::CPoint2DPDFGaussian::mean |
The mean value.
Definition at line 37 of file CPoint2DPDFGaussian.h.
Referenced by mrpt::slam::CGridMapAligner::AlignPDF_robustMatch(), bayesianFusion(), changeCoordinatesReference(), copyFrom(), drawSingleSample(), mrpt::slam::CRangeBearingKFSLAM2D::getAs3DObject(), getCovarianceAndMean(), getMean(), mahalanobisDistanceTo(), mahalanobisDistanceToPoint(), productIntegralWith(), saveToTextFile(), serializeFrom(), and serializeTo().
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staticprotected |
Definition at line 25 of file CPoint2DPDFGaussian.h.
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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 33 of file CProbabilityDensityFunction.h.
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