Public Types | Public Member Functions | Static Public Member Functions | Public Attributes | Protected Types | Protected Attributes | Static Protected Attributes | List of all members
gtsam::RegularImplicitSchurFactor< CAMERA > Class Template Reference

#include <RegularImplicitSchurFactor.h>

Inheritance diagram for gtsam::RegularImplicitSchurFactor< CAMERA >:
Inheritance graph
[legend]

Public Types

typedef std::vector< Vector2, Eigen::aligned_allocator< Vector2 > > Error2s
 
typedef std::shared_ptr< Thisshared_ptr
 shared_ptr to this class More...
 
typedef RegularImplicitSchurFactor This
 Typedef to this class. More...
 
- Public Types inherited from gtsam::GaussianFactor
typedef Factor Base
 Our base class. More...
 
typedef std::shared_ptr< Thisshared_ptr
 shared_ptr to this class More...
 
typedef GaussianFactor This
 This class. More...
 
- Public Types inherited from gtsam::Factor
typedef KeyVector::const_iterator const_iterator
 Const iterator over keys. More...
 
typedef KeyVector::iterator iterator
 Iterator over keys. More...
 

Public Member Functions

Matrix augmentedInformation () const override
 Compute full augmented information matrix More...
 
Matrix augmentedJacobian () const override
 
const Vectorb () const
 
GaussianFactor::shared_ptr clone () const override
 
const MatrixE () const
 
bool equals (const GaussianFactor &lf, double tol) const override
 equals More...
 
double error (const VectorValues &x) const override
 
double errorJF (const VectorValues &x) const
 
const FBlocksFs () const
 
DenseIndex getDim (const_iterator variable) const override
 Degrees of freedom of camera. More...
 
const MatrixgetPointCovariance () const
 
Vector gradient (Key key, const VectorValues &x) const override
 Gradient wrt a key at any values. More...
 
VectorValues gradientAtZero () const override
 
void gradientAtZero (double *d) const override
 
std::map< Key, MatrixhessianBlockDiagonal () const override
 Return the block diagonal of the Hessian for this factor. More...
 
void hessianDiagonal (double *d) const override
 add the contribution of this factor to the diagonal of the hessian d(output) = d(input) + deltaHessianFactor More...
 
void hessianDiagonalAdd (VectorValues &d) const override
 Add the diagonal of the Hessian for this factor to existing VectorValues. More...
 
Matrix information () const override
 Compute full information matrix More...
 
std::pair< Matrix, Vectorjacobian () const override
 
void multiplyHessianAdd (double alpha, const double *x, double *y) const
 double* Hessian-vector multiply, i.e. y += F'alpha(I - E*P*E')*F*x RAW memory access! Assumes keys start at 0 and go to M-1, and x and and y are laid out that way More...
 
void multiplyHessianAdd (double alpha, const double *x, double *y, std::vector< size_t > keys) const
 
void multiplyHessianAdd (double alpha, const VectorValues &x, VectorValues &y) const override
 Hessian-vector multiply, i.e. y += F'alpha(I - E*P*E')*F*x. More...
 
void multiplyHessianDummy (double alpha, const VectorValues &x, VectorValues &y) const
 Dummy version to measure overhead of key access. More...
 
GaussianFactor::shared_ptr negate () const override
 
void print (const std::string &s="", const KeyFormatter &keyFormatter=DefaultKeyFormatter) const override
 print More...
 
void projectError (const Error2s &e1, Error2s &e2) const
 Calculate corrected error Q*e = (I - E*P*E')*e. More...
 
void projectError2 (const Error2s &e1, Error2s &e2) const
 Calculate corrected error Q*(e-ZDim*b) = (I - E*P*E')*(e-ZDim*b) More...
 
 RegularImplicitSchurFactor ()
 Constructor. More...
 
 RegularImplicitSchurFactor (const KeyVector &keys, const FBlocks &Fs, const Matrix &E, const Matrix &P, const Vector &b)
 Construct from blocks of F, E, inv(E'*E), and RHS vector b. More...
 
void updateHessian (const KeyVector &keys, SymmetricBlockMatrix *info) const override
 
 ~RegularImplicitSchurFactor () override
 Destructor. More...
 
- Public Member Functions inherited from gtsam::GaussianFactor
 GaussianFactor ()
 
template<typename CONTAINER >
 GaussianFactor (const CONTAINER &keys)
 
double error (const HybridValues &c) const override
 
VectorValues hessianDiagonal () const
 Return the diagonal of the Hessian for this factor. More...
 
- Public Member Functions inherited from gtsam::Factor
virtual ~Factor ()=default
 Default destructor. More...
 
bool empty () const
 Whether the factor is empty (involves zero variables). More...
 
Key front () const
 First key. More...
 
Key back () const
 Last key. More...
 
const_iterator find (Key key) const
 find More...
 
const KeyVectorkeys () const
 Access the factor's involved variable keys. More...
 
const_iterator begin () const
 
const_iterator end () const
 
size_t size () const
 
virtual void printKeys (const std::string &s="Factor", const KeyFormatter &formatter=DefaultKeyFormatter) const
 print only keys More...
 
bool equals (const This &other, double tol=1e-9) const
 check equality More...
 
KeyVectorkeys ()
 
iterator begin ()
 
iterator end ()
 

Static Public Member Functions

static void multiplyHessianAdd (const Matrix &F, const Matrix &E, const Matrix &PointCovariance, double alpha, const Vector &x, Vector &y)
 
- Static Public Member Functions inherited from gtsam::GaussianFactor
template<typename CONTAINER >
static DenseIndex Slot (const CONTAINER &keys, Key key)
 

Public Attributes

Error2s e1
 Scratch space for multiplyHessianAdd. More...
 
Error2s e2
 

Protected Types

typedef std::vector< MatrixZD, Eigen::aligned_allocator< MatrixZD > > FBlocks
 
typedef Eigen::Matrix< double, D, DMatrixDD
 camera Hessian More...
 
typedef Eigen::Matrix< double, ZDim, DMatrixZD
 type of an F block More...
 
typedef CameraSet< CAMERA > Set
 
typedef CAMERA::Measurement Z
 

Protected Attributes

const Vector b_
 2m-dimensional RHS vector More...
 
const Matrix E_
 The 2m*3 E Jacobian with respect to the point. More...
 
FBlocks FBlocks_
 All ZDim*D F blocks (one for each camera) More...
 
const Matrix PointCovariance_
 the 3*3 matrix P = inv(E'E) (2*2 if degenerate) More...
 
- Protected Attributes inherited from gtsam::Factor
KeyVector keys_
 The keys involved in this factor. More...
 

Static Protected Attributes

static const int D = traits<CAMERA>::dimension
 Camera dimension. More...
 
static const int ZDim = traits<Z>::dimension
 Measurement dimension. More...
 

Additional Inherited Members

- Protected Member Functions inherited from gtsam::Factor
 Factor ()
 
template<typename CONTAINER >
 Factor (const CONTAINER &keys)
 
template<typename ITERATOR >
 Factor (ITERATOR first, ITERATOR last)
 
- Static Protected Member Functions inherited from gtsam::Factor
template<typename CONTAINER >
static Factor FromKeys (const CONTAINER &keys)
 
template<typename ITERATOR >
static Factor FromIterators (ITERATOR first, ITERATOR last)
 

Detailed Description

template<class CAMERA>
class gtsam::RegularImplicitSchurFactor< CAMERA >

RegularImplicitSchurFactor

A specialization of a GaussianFactor to structure-less SFM, which is very fast in a conjugate gradient (CG) solver. Specifically, as measured in timeSchurFactors.cpp, it stays very fast for an increasing number of cameras. The magic is in multiplyHessianAdd, which does the Hessian-vector multiply at the core of CG, and implements y += F'alpha(I - E*P*E')*F*x where

Definition at line 39 of file RegularImplicitSchurFactor.h.

Member Typedef Documentation

◆ Error2s

template<class CAMERA>
typedef std::vector<Vector2, Eigen::aligned_allocator<Vector2> > gtsam::RegularImplicitSchurFactor< CAMERA >::Error2s

Definition at line 282 of file RegularImplicitSchurFactor.h.

◆ FBlocks

template<class CAMERA>
typedef std::vector<MatrixZD, Eigen::aligned_allocator<MatrixZD> > gtsam::RegularImplicitSchurFactor< CAMERA >::FBlocks
protected

Definition at line 56 of file RegularImplicitSchurFactor.h.

◆ MatrixDD

template<class CAMERA>
typedef Eigen::Matrix<double, D, D> gtsam::RegularImplicitSchurFactor< CAMERA >::MatrixDD
protected

camera Hessian

Definition at line 55 of file RegularImplicitSchurFactor.h.

◆ MatrixZD

template<class CAMERA>
typedef Eigen::Matrix<double, ZDim, D> gtsam::RegularImplicitSchurFactor< CAMERA >::MatrixZD
protected

type of an F block

Definition at line 54 of file RegularImplicitSchurFactor.h.

◆ Set

template<class CAMERA>
typedef CameraSet<CAMERA> gtsam::RegularImplicitSchurFactor< CAMERA >::Set
protected

Definition at line 48 of file RegularImplicitSchurFactor.h.

◆ shared_ptr

template<class CAMERA>
typedef std::shared_ptr<This> gtsam::RegularImplicitSchurFactor< CAMERA >::shared_ptr

shared_ptr to this class

Definition at line 43 of file RegularImplicitSchurFactor.h.

◆ This

template<class CAMERA>
typedef RegularImplicitSchurFactor gtsam::RegularImplicitSchurFactor< CAMERA >::This

Typedef to this class.

Definition at line 42 of file RegularImplicitSchurFactor.h.

◆ Z

template<class CAMERA>
typedef CAMERA::Measurement gtsam::RegularImplicitSchurFactor< CAMERA >::Z
protected

Definition at line 50 of file RegularImplicitSchurFactor.h.

Constructor & Destructor Documentation

◆ RegularImplicitSchurFactor() [1/2]

template<class CAMERA>
gtsam::RegularImplicitSchurFactor< CAMERA >::RegularImplicitSchurFactor ( )
inline

Constructor.

Definition at line 66 of file RegularImplicitSchurFactor.h.

◆ RegularImplicitSchurFactor() [2/2]

template<class CAMERA>
gtsam::RegularImplicitSchurFactor< CAMERA >::RegularImplicitSchurFactor ( const KeyVector keys,
const FBlocks Fs,
const Matrix E,
const Matrix P,
const Vector b 
)
inline

Construct from blocks of F, E, inv(E'*E), and RHS vector b.

Construct a new RegularImplicitSchurFactor object.

Parameters
keyskeys corresponding to cameras
FsAll ZDim*D F blocks (one for each camera)
EJacobian of measurements wrpt point.
Ppoint covariance matrix
bRHS vector

Definition at line 80 of file RegularImplicitSchurFactor.h.

◆ ~RegularImplicitSchurFactor()

template<class CAMERA>
gtsam::RegularImplicitSchurFactor< CAMERA >::~RegularImplicitSchurFactor ( )
inlineoverride

Destructor.

Definition at line 85 of file RegularImplicitSchurFactor.h.

Member Function Documentation

◆ augmentedInformation()

template<class CAMERA>
Matrix gtsam::RegularImplicitSchurFactor< CAMERA >::augmentedInformation ( ) const
inlineoverridevirtual

Compute full augmented information matrix

Implements gtsam::GaussianFactor.

Definition at line 155 of file RegularImplicitSchurFactor.h.

◆ augmentedJacobian()

template<class CAMERA>
Matrix gtsam::RegularImplicitSchurFactor< CAMERA >::augmentedJacobian ( ) const
inlineoverridevirtual

Return a dense $ [ \;A\;b\; ] \in \mathbb{R}^{m \times n+1} $ Jacobian matrix, augmented with b with the noise models baked into A and b. The negative log-likelihood is $ \frac{1}{2} \Vert Ax-b \Vert^2 $. See also GaussianFactorGraph::jacobian and GaussianFactorGraph::sparseJacobian.

Implements gtsam::GaussianFactor.

Definition at line 143 of file RegularImplicitSchurFactor.h.

◆ b()

template<class CAMERA>
const Vector& gtsam::RegularImplicitSchurFactor< CAMERA >::b ( ) const
inline

Definition at line 96 of file RegularImplicitSchurFactor.h.

◆ clone()

template<class CAMERA>
GaussianFactor::shared_ptr gtsam::RegularImplicitSchurFactor< CAMERA >::clone ( ) const
inlineoverridevirtual

Clone a factor (make a deep copy)

Implements gtsam::GaussianFactor.

Reimplemented in gtsam::DummyFactor< CAMERA >.

Definition at line 256 of file RegularImplicitSchurFactor.h.

◆ E()

template<class CAMERA>
const Matrix& gtsam::RegularImplicitSchurFactor< CAMERA >::E ( ) const
inline

Definition at line 92 of file RegularImplicitSchurFactor.h.

◆ equals()

template<class CAMERA>
bool gtsam::RegularImplicitSchurFactor< CAMERA >::equals ( const GaussianFactor lf,
double  tol 
) const
inlineoverridevirtual

equals

Implements gtsam::GaussianFactor.

Definition at line 118 of file RegularImplicitSchurFactor.h.

◆ error()

template<class CAMERA>
double gtsam::RegularImplicitSchurFactor< CAMERA >::error ( const VectorValues x) const
inlineoverridevirtual

Reimplemented from gtsam::GaussianFactor.

Definition at line 314 of file RegularImplicitSchurFactor.h.

◆ errorJF()

template<class CAMERA>
double gtsam::RegularImplicitSchurFactor< CAMERA >::errorJF ( const VectorValues x) const
inline

Definition at line 336 of file RegularImplicitSchurFactor.h.

◆ Fs()

template<class CAMERA>
const FBlocks& gtsam::RegularImplicitSchurFactor< CAMERA >::Fs ( ) const
inline

Definition at line 88 of file RegularImplicitSchurFactor.h.

◆ getDim()

template<class CAMERA>
DenseIndex gtsam::RegularImplicitSchurFactor< CAMERA >::getDim ( const_iterator  variable) const
inlineoverridevirtual

Degrees of freedom of camera.

Implements gtsam::GaussianFactor.

Definition at line 134 of file RegularImplicitSchurFactor.h.

◆ getPointCovariance()

template<class CAMERA>
const Matrix& gtsam::RegularImplicitSchurFactor< CAMERA >::getPointCovariance ( ) const
inline

Definition at line 100 of file RegularImplicitSchurFactor.h.

◆ gradient()

template<class CAMERA>
Vector gtsam::RegularImplicitSchurFactor< CAMERA >::gradient ( Key  key,
const VectorValues x 
) const
inlineoverridevirtual

Gradient wrt a key at any values.

Implements gtsam::GaussianFactor.

Definition at line 499 of file RegularImplicitSchurFactor.h.

◆ gradientAtZero() [1/2]

template<class CAMERA>
VectorValues gtsam::RegularImplicitSchurFactor< CAMERA >::gradientAtZero ( ) const
inlineoverridevirtual

Calculate gradient, which is -F'Q*b, see paper

Implements gtsam::GaussianFactor.

Definition at line 457 of file RegularImplicitSchurFactor.h.

◆ gradientAtZero() [2/2]

template<class CAMERA>
void gtsam::RegularImplicitSchurFactor< CAMERA >::gradientAtZero ( double *  d) const
inlineoverridevirtual

Calculate gradient, which is -F'Q*b, see paper - RAW MEMORY ACCESS

Implements gtsam::GaussianFactor.

Definition at line 479 of file RegularImplicitSchurFactor.h.

◆ hessianBlockDiagonal()

template<class CAMERA>
std::map<Key, Matrix> gtsam::RegularImplicitSchurFactor< CAMERA >::hessianBlockDiagonal ( ) const
inlineoverridevirtual

Return the block diagonal of the Hessian for this factor.

Implements gtsam::GaussianFactor.

Definition at line 231 of file RegularImplicitSchurFactor.h.

◆ hessianDiagonal()

template<class CAMERA>
void gtsam::RegularImplicitSchurFactor< CAMERA >::hessianDiagonal ( double *  d) const
inlineoverridevirtual

add the contribution of this factor to the diagonal of the hessian d(output) = d(input) + deltaHessianFactor

Implements gtsam::GaussianFactor.

Definition at line 205 of file RegularImplicitSchurFactor.h.

◆ hessianDiagonalAdd()

template<class CAMERA>
void gtsam::RegularImplicitSchurFactor< CAMERA >::hessianDiagonalAdd ( VectorValues d) const
inlineoverridevirtual

Add the diagonal of the Hessian for this factor to existing VectorValues.

Implements gtsam::GaussianFactor.

Definition at line 174 of file RegularImplicitSchurFactor.h.

◆ information()

template<class CAMERA>
Matrix gtsam::RegularImplicitSchurFactor< CAMERA >::information ( ) const
inlineoverridevirtual

Compute full information matrix

Implements gtsam::GaussianFactor.

Definition at line 163 of file RegularImplicitSchurFactor.h.

◆ jacobian()

template<class CAMERA>
std::pair<Matrix, Vector> gtsam::RegularImplicitSchurFactor< CAMERA >::jacobian ( ) const
inlineoverridevirtual

Return the dense Jacobian $ A $ and right-hand-side $ b $, with the noise models baked into A and b. The negative log-likelihood is $ \frac{1}{2} \Vert Ax-b \Vert^2 $. See also GaussianFactorGraph::augmentedJacobian and GaussianFactorGraph::sparseJacobian.

Implements gtsam::GaussianFactor.

Definition at line 148 of file RegularImplicitSchurFactor.h.

◆ multiplyHessianAdd() [1/4]

template<class CAMERA>
static void gtsam::RegularImplicitSchurFactor< CAMERA >::multiplyHessianAdd ( const Matrix F,
const Matrix E,
const Matrix PointCovariance,
double  alpha,
const Vector x,
Vector y 
)
inlinestatic

Definition at line 272 of file RegularImplicitSchurFactor.h.

◆ multiplyHessianAdd() [2/4]

template<class CAMERA>
void gtsam::RegularImplicitSchurFactor< CAMERA >::multiplyHessianAdd ( double  alpha,
const double *  x,
double *  y 
) const
inline

double* Hessian-vector multiply, i.e. y += F'alpha(I - E*P*E')*F*x RAW memory access! Assumes keys start at 0 and go to M-1, and x and and y are laid out that way

Definition at line 380 of file RegularImplicitSchurFactor.h.

◆ multiplyHessianAdd() [3/4]

template<class CAMERA>
void gtsam::RegularImplicitSchurFactor< CAMERA >::multiplyHessianAdd ( double  alpha,
const double *  x,
double *  y,
std::vector< size_t keys 
) const
inline

Definition at line 406 of file RegularImplicitSchurFactor.h.

◆ multiplyHessianAdd() [4/4]

template<class CAMERA>
void gtsam::RegularImplicitSchurFactor< CAMERA >::multiplyHessianAdd ( double  alpha,
const VectorValues x,
VectorValues y 
) const
inlineoverridevirtual

Hessian-vector multiply, i.e. y += F'alpha(I - E*P*E')*F*x.

Implements gtsam::GaussianFactor.

Definition at line 413 of file RegularImplicitSchurFactor.h.

◆ multiplyHessianDummy()

template<class CAMERA>
void gtsam::RegularImplicitSchurFactor< CAMERA >::multiplyHessianDummy ( double  alpha,
const VectorValues x,
VectorValues y 
) const
inline

Dummy version to measure overhead of key access.

Definition at line 442 of file RegularImplicitSchurFactor.h.

◆ negate()

template<class CAMERA>
GaussianFactor::shared_ptr gtsam::RegularImplicitSchurFactor< CAMERA >::negate ( ) const
inlineoverridevirtual

Construct the corresponding anti-factor to negate information stored stored in this factor.

Returns
a HessianFactor with negated Hessian matrices

Implements gtsam::GaussianFactor.

Definition at line 263 of file RegularImplicitSchurFactor.h.

◆ print()

template<class CAMERA>
void gtsam::RegularImplicitSchurFactor< CAMERA >::print ( const std::string &  s = "",
const KeyFormatter keyFormatter = DefaultKeyFormatter 
) const
inlineoverridevirtual

print

Implements gtsam::GaussianFactor.

Reimplemented in gtsam::DummyFactor< CAMERA >.

Definition at line 105 of file RegularImplicitSchurFactor.h.

◆ projectError()

template<class CAMERA>
void gtsam::RegularImplicitSchurFactor< CAMERA >::projectError ( const Error2s e1,
Error2s e2 
) const
inline

Calculate corrected error Q*e = (I - E*P*E')*e.

Definition at line 357 of file RegularImplicitSchurFactor.h.

◆ projectError2()

template<class CAMERA>
void gtsam::RegularImplicitSchurFactor< CAMERA >::projectError2 ( const Error2s e1,
Error2s e2 
) const
inline

Calculate corrected error Q*(e-ZDim*b) = (I - E*P*E')*(e-ZDim*b)

Definition at line 287 of file RegularImplicitSchurFactor.h.

◆ updateHessian()

template<class CAMERA>
void gtsam::RegularImplicitSchurFactor< CAMERA >::updateHessian ( const KeyVector keys,
SymmetricBlockMatrix info 
) const
inlineoverridevirtual

Update an information matrix by adding the information corresponding to this factor (used internally during elimination).

Parameters
scatterA mapping from variable index to slot index in this HessianFactor
infoThe information matrix to be updated

Implements gtsam::GaussianFactor.

Definition at line 138 of file RegularImplicitSchurFactor.h.

Member Data Documentation

◆ b_

template<class CAMERA>
const Vector gtsam::RegularImplicitSchurFactor< CAMERA >::b_
protected

2m-dimensional RHS vector

Definition at line 61 of file RegularImplicitSchurFactor.h.

◆ D

template<class CAMERA>
const int gtsam::RegularImplicitSchurFactor< CAMERA >::D = traits<CAMERA>::dimension
staticprotected

Camera dimension.

Definition at line 51 of file RegularImplicitSchurFactor.h.

◆ e1

template<class CAMERA>
Error2s gtsam::RegularImplicitSchurFactor< CAMERA >::e1
mutable

Scratch space for multiplyHessianAdd.

Definition at line 374 of file RegularImplicitSchurFactor.h.

◆ e2

template<class CAMERA>
Error2s gtsam::RegularImplicitSchurFactor< CAMERA >::e2
mutable

Definition at line 374 of file RegularImplicitSchurFactor.h.

◆ E_

template<class CAMERA>
const Matrix gtsam::RegularImplicitSchurFactor< CAMERA >::E_
protected

The 2m*3 E Jacobian with respect to the point.

Definition at line 60 of file RegularImplicitSchurFactor.h.

◆ FBlocks_

template<class CAMERA>
FBlocks gtsam::RegularImplicitSchurFactor< CAMERA >::FBlocks_
protected

All ZDim*D F blocks (one for each camera)

Definition at line 58 of file RegularImplicitSchurFactor.h.

◆ PointCovariance_

template<class CAMERA>
const Matrix gtsam::RegularImplicitSchurFactor< CAMERA >::PointCovariance_
protected

the 3*3 matrix P = inv(E'E) (2*2 if degenerate)

Definition at line 59 of file RegularImplicitSchurFactor.h.

◆ ZDim

template<class CAMERA>
const int gtsam::RegularImplicitSchurFactor< CAMERA >::ZDim = traits<Z>::dimension
staticprotected

Measurement dimension.

Definition at line 52 of file RegularImplicitSchurFactor.h.


The documentation for this class was generated from the following file:


gtsam
Author(s):
autogenerated on Tue Jul 4 2023 02:47:08