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gtsam 4.1.1
gtsam
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The ShonanGaugeFactor creates a constraint on a single SO(n) to avoid moving in the stabilizer.
Details: SO(p) contains the p*3 Stiefel matrices of orthogonal frames: we take those to be the 3 columns on the left. The P*P skew-symmetric matrices associated with so(p) can be partitioned as (Appendix B in the ECCV paper): | [w] -K' | | K [g] | where w is the SO(3) space, K are the extra Stiefel diemnsions (wormhole!) and (g)amma are extra dimensions in SO(p) that do not modify the cost function. The latter corresponds to rotations SO(p-d), and so the first few values of p-d for d==3 with their corresponding dimensionality are {0:0, 1:0, 2:1, 3:3, ...}
The ShonanGaugeFactor adds a unit Jacobian to these extra dimensions, essentially restricting the optimization to the Stiefel manifold.
Inheritance diagram for gtsam::ShonanGaugeFactor:Public Member Functions | |
| ShonanGaugeFactor (Key key, size_t p, size_t d=3, boost::optional< double > gamma=boost::none) | |
| Construct from key for an SO(p) matrix, for base dimension d (2 or 3) If parameter gamma is given, it acts as a precision = 1/sigma^2, and the Jacobian will be multiplied with 1/sigma = sqrt(gamma). | |
| ~ShonanGaugeFactor () override | |
| Destructor. | |
| double | error (const Values &c) const override |
| Calculate the error of the factor: always zero. More... | |
| size_t | dim () const override |
| get the dimension of the factor (number of rows on linearization) More... | |
| boost::shared_ptr< GaussianFactor > | linearize (const Values &c) const override |
| linearize to a GaussianFactor More... | |
Public Member Functions inherited from gtsam::NonlinearFactor | |
| NonlinearFactor () | |
| Default constructor for I/O only. | |
| template<typename CONTAINER > | |
| NonlinearFactor (const CONTAINER &keys) | |
| Constructor from a collection of the keys involved in this factor. | |
| void | print (const std::string &s="", const KeyFormatter &keyFormatter=DefaultKeyFormatter) const override |
| print More... | |
| virtual bool | equals (const NonlinearFactor &f, double tol=1e-9) const |
| Check if two factors are equal. More... | |
| virtual | ~NonlinearFactor () |
| Destructor. | |
| virtual bool | active (const Values &) const |
| Checks whether a factor should be used based on a set of values. More... | |
| virtual shared_ptr | clone () const |
| Creates a shared_ptr clone of the factor - needs to be specialized to allow for subclasses. More... | |
| virtual shared_ptr | rekey (const std::map< Key, Key > &rekey_mapping) const |
| Creates a shared_ptr clone of the factor with different keys using a map from old->new keys. More... | |
| virtual shared_ptr | rekey (const KeyVector &new_keys) const |
| Clones a factor and fully replaces its keys. More... | |
| virtual bool | sendable () const |
| Should the factor be evaluated in the same thread as the caller This is to enable factors that has shared states (like the Python GIL lock) More... | |
Public Member Functions inherited from gtsam::Factor | |
| virtual | ~Factor ()=default |
| Default destructor. | |
| KeyVector & | keys () |
| iterator | begin () |
| Iterator at beginning of involved variable keys. | |
| iterator | end () |
| Iterator at end of involved variable keys. | |
| virtual void | printKeys (const std::string &s="Factor", const KeyFormatter &formatter=DefaultKeyFormatter) const |
| print only keys More... | |
| Key | front () const |
| First key. | |
| Key | back () const |
| Last key. | |
| const_iterator | find (Key key) const |
| find | |
| const KeyVector & | keys () const |
| Access the factor's involved variable keys. | |
| const_iterator | begin () const |
| Iterator at beginning of involved variable keys. | |
| const_iterator | end () const |
| Iterator at end of involved variable keys. | |
| size_t | size () const |
Additional Inherited Members | |
Public Types inherited from gtsam::NonlinearFactor | |
| typedef boost::shared_ptr< This > | shared_ptr |
Public Types inherited from gtsam::Factor | |
| typedef KeyVector::iterator | iterator |
| Iterator over keys. | |
| typedef KeyVector::const_iterator | const_iterator |
| Const iterator over keys. | |
Protected Types inherited from gtsam::NonlinearFactor | |
| typedef Factor | Base |
| typedef NonlinearFactor | This |
Protected Member Functions inherited from gtsam::Factor | |
| Factor () | |
| Default constructor for I/O. | |
| template<typename CONTAINER > | |
| Factor (const CONTAINER &keys) | |
| Construct factor from container of keys. More... | |
| template<typename ITERATOR > | |
| Factor (ITERATOR first, ITERATOR last) | |
| Construct factor from iterator keys. More... | |
| bool | equals (const This &other, double tol=1e-9) const |
| check equality | |
Static Protected Member Functions inherited from gtsam::Factor | |
| template<typename CONTAINER > | |
| static Factor | FromKeys (const CONTAINER &keys) |
| Construct factor from container of keys. More... | |
| template<typename ITERATOR > | |
| static Factor | FromIterators (ITERATOR first, ITERATOR last) |
| Construct factor from iterator keys. More... | |
Protected Attributes inherited from gtsam::Factor | |
| KeyVector | keys_ |
| The keys involved in this factor. | |
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inlineoverridevirtual |
get the dimension of the factor (number of rows on linearization)
Implements gtsam::NonlinearFactor.
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inlineoverridevirtual |
Calculate the error of the factor: always zero.
Implements gtsam::NonlinearFactor.
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inlineoverridevirtual |
linearize to a GaussianFactor
Implements gtsam::NonlinearFactor.