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								% GTSAM MATLAB toolbox interface to the Georgia Tech Smoothing and Mapping C++ library
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								% Version 2.1 08-Sep-2012
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								%
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								%% Basic Utilities
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								%   linear_independent                - check whether the rows of two matrices are linear independent
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								%   Permutation                       - class Permutation, see Doxygen page for details
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								% 
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								%% General Inference Classes
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								%   IndexFactor                       - class IndexFactor, see Doxygen page for details
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								%   SymbolicFactorGraph               - class SymbolicFactorGraph, see Doxygen page for details
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								%   IndexConditional                  - class IndexConditional, see Doxygen page for details
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								%   SymbolicBayesNet                  - class SymbolicBayesNet, see Doxygen page for details
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								%   SymbolicBayesTreeClique           - class SymbolicBayesTreeClique, see Doxygen page for details
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								%   SymbolicBayesTree                 - class SymbolicBayesTree, see Doxygen page for details
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								%   SymbolicMultifrontalSolver        - class SymbolicMultifrontalSolver, see Doxygen page for details
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								%   SymbolicSequentialSolver          - class SymbolicSequentialSolver, see Doxygen page for details
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								%   VariableIndex                     - class VariableIndex, see Doxygen page for details
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								% 
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											2012-09-15 04:52:58 +08:00
										 
									 
								 
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								%% Linear-Gaussian Graphical Models
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								%   Errors                            - class Errors, see Doxygen page for details
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								%   VectorValues                      - class VectorValues, see Doxygen page for details
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								%   GaussianFactor                    - class GaussianFactor, see Doxygen page for details
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								%   HessianFactor                     - class HessianFactor, see Doxygen page for details
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								%   JacobianFactor                    - class JacobianFactor, see Doxygen page for details
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								%   GaussianFactorGraph               - class GaussianFactorGraph, see Doxygen page for details
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								%   GaussianDensity                   - class GaussianDensity, see Doxygen page for details
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								%   GaussianConditional               - class GaussianConditional, see Doxygen page for details
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								%   GaussianBayesNet                  - class GaussianBayesNet, see Doxygen page for details
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								%   GaussianBayesTreeClique           - class GaussianBayesTreeClique, see Doxygen page for details
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								%   GaussianBayesTree                 - class GaussianBayesTree, see Doxygen page for details
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								%   GaussianISAM                      - class GaussianISAM, see Doxygen page for details
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											2013-06-06 10:23:20 +08:00
										 
									 
								 
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								%   noiseModel.Gaussian               - class noiseModel.Gaussian, see Doxygen page for details
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								%   noiseModel.Diagonal               - class noiseModel.Diagonal, see Doxygen page for details
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								%   noiseModel.Constrained            - class noiseModel.Constrained, see Doxygen page for details
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								%   noiseModel.Isotropic              - class noiseModel.Isotropic, see Doxygen page for details
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								%   noiseModel.Unit                   - class noiseModel.Unit, see Doxygen page for details
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								% 
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								%% Linear Inference
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								%   GaussianSequentialSolver          - class GaussianSequentialSolver, see Doxygen page for details
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											2013-06-21 03:45:15 +08:00
										 
									 
								 
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								%   GaussianMultifrontalSolver        - class GaussianMultifrontalSolver, see Doxygen page for details
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								%   IterativeOptimizationParameters   - class IterativeOptimizationParameters, see Doxygen page for details
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								%   KalmanFilter                      - class KalmanFilter, see Doxygen page for details
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								%   SubgraphSolver                    - class SubgraphSolver, see Doxygen page for details
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								%   SubgraphSolverParameters          - class SubgraphSolverParameters, see Doxygen page for details
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								%   SuccessiveLinearizationParams     - class SuccessiveLinearizationParams, see Doxygen page for details
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								%   Sampler                           - class Sampler, see Doxygen page for details
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								%% Nonlinear Factor Graphs
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								%   Ordering                          - class Ordering, see Doxygen page for details
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								%   Value                             - class Value, see Doxygen page for details
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								%   Values                            - class Values, see Doxygen page for details
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								%   LieScalar                         - class LieScalar, see Doxygen page for details
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								%   LieVector                         - class LieVector, see Doxygen page for details
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								%   LieMatrix                         - class LieMatrix, see Doxygen page for details
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								%   NonlinearFactor                   - class NonlinearFactor, see Doxygen page for details
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								%   NonlinearFactorGraph              - class NonlinearFactorGraph, see Doxygen page for details
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								%
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								%% Nonlinear Optimization
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								%   ConjugateGradientParameters       - class ConjugateGradientParameters, see Doxygen page for details
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								%   DoglegOptimizer                   - class DoglegOptimizer, see Doxygen page for details
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								%   DoglegParams                      - class DoglegParams, see Doxygen page for details
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								%   GaussNewtonOptimizer              - class GaussNewtonOptimizer, see Doxygen page for details
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								%   GaussNewtonParams                 - class GaussNewtonParams, see Doxygen page for details
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								%   ISAM2Clique                       - class ISAM2Clique, see Doxygen page for details
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								%   ISAM2BayesTree                    - class ISAM2BayesTree, see Doxygen page for details
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								%   ISAM2                             - class ISAM2, see Doxygen page for details
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								%   ISAM2DoglegParams                 - class ISAM2DoglegParams, see Doxygen page for details
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								%   ISAM2GaussNewtonParams            - class ISAM2GaussNewtonParams, see Doxygen page for details
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								%   ISAM2Params                       - class ISAM2Params, see Doxygen page for details
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								%   ISAM2Result                       - class ISAM2Result, see Doxygen page for details
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								%   ISAM2ThresholdMap                 - class ISAM2ThresholdMap, see Doxygen page for details
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								%   ISAM2ThresholdMapValue            - class ISAM2ThresholdMapValue, see Doxygen page for details
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								%   InvertedOrdering                  - class InvertedOrdering, see Doxygen page for details
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								%   JointMarginal                     - class JointMarginal, see Doxygen page for details
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								%   KeyList                           - class KeyList, see Doxygen page for details
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								%   KeySet                            - class KeySet, see Doxygen page for details
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								%   KeyVector                         - class KeyVector, see Doxygen page for details
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								%   LevenbergMarquardtOptimizer       - class LevenbergMarquardtOptimizer, see Doxygen page for details
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								%   LevenbergMarquardtParams          - class LevenbergMarquardtParams, see Doxygen page for details
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								%   Marginals                         - class Marginals, see Doxygen page for details
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								%   NonlinearISAM                     - class NonlinearISAM, see Doxygen page for details
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								%   NonlinearOptimizer                - class NonlinearOptimizer, see Doxygen page for details
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								%   NonlinearOptimizerParams          - class NonlinearOptimizerParams, see Doxygen page for details
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								%% Geometry
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								%   Cal3_S2                           - class Cal3_S2, see Doxygen page for details
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								%   Cal3_S2Stereo                     - class Cal3_S2Stereo, see Doxygen page for details
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								%   Cal3DS2                           - class Cal3DS2, see Doxygen page for details
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								%   CalibratedCamera                  - class CalibratedCamera, see Doxygen page for details
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								%   Point2                            - class Point2, see Doxygen page for details
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								%   Point3                            - class Point3, see Doxygen page for details
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								%   Pose2                             - class Pose2, see Doxygen page for details
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								%   Pose3                             - class Pose3, see Doxygen page for details
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								%   Rot2                              - class Rot2, see Doxygen page for details
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								%   Rot3                              - class Rot3, see Doxygen page for details
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								%   SimpleCamera                      - class SimpleCamera, see Doxygen page for details
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								%   StereoPoint2                      - class StereoPoint2, see Doxygen page for details
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								%% SLAM and SFM
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								%   BearingFactor2D                   - class BearingFactor2D, see Doxygen page for details
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								%   BearingRangeFactor2D              - class BearingRangeFactor2D, see Doxygen page for details
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								%   BetweenFactorLieMatrix            - class BetweenFactorLieMatrix, see Doxygen page for details
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								%   BetweenFactorLieScalar            - class BetweenFactorLieScalar, see Doxygen page for details
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								%   BetweenFactorLieVector            - class BetweenFactorLieVector, see Doxygen page for details
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								%   BetweenFactorPoint2               - class BetweenFactorPoint2, see Doxygen page for details
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								%   BetweenFactorPoint3               - class BetweenFactorPoint3, see Doxygen page for details
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								%   BetweenFactorPose2                - class BetweenFactorPose2, see Doxygen page for details
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								%   BetweenFactorPose3                - class BetweenFactorPose3, see Doxygen page for details
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								%   BetweenFactorRot2                 - class BetweenFactorRot2, see Doxygen page for details
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								%   BetweenFactorRot3                 - class BetweenFactorRot3, see Doxygen page for details
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								%   GeneralSFMFactor2Cal3_S2          - class GeneralSFMFactor2Cal3_S2, see Doxygen page for details
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								%   GeneralSFMFactorCal3_S2           - class GeneralSFMFactorCal3_S2, see Doxygen page for details
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								%   GenericProjectionFactorCal3_S2    - class GenericProjectionFactorCal3_S2, see Doxygen page for details
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								%   GenericStereoFactor3D             - class GenericStereoFactor3D, see Doxygen page for details
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								%   NonlinearEqualityCal3_S2          - class NonlinearEqualityCal3_S2, see Doxygen page for details
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								%   NonlinearEqualityCalibratedCamera - class NonlinearEqualityCalibratedCamera, see Doxygen page for details
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								%   NonlinearEqualityLieMatrix        - class NonlinearEqualityLieMatrix, see Doxygen page for details
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								%   NonlinearEqualityLieScalar        - class NonlinearEqualityLieScalar, see Doxygen page for details
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								%   NonlinearEqualityLieVector        - class NonlinearEqualityLieVector, see Doxygen page for details
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								%   NonlinearEqualityPoint2           - class NonlinearEqualityPoint2, see Doxygen page for details
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								%   NonlinearEqualityPoint3           - class NonlinearEqualityPoint3, see Doxygen page for details
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								%   NonlinearEqualityPose2            - class NonlinearEqualityPose2, see Doxygen page for details
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								%   NonlinearEqualityPose3            - class NonlinearEqualityPose3, see Doxygen page for details
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								%   NonlinearEqualityRot2             - class NonlinearEqualityRot2, see Doxygen page for details
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								%   NonlinearEqualityRot3             - class NonlinearEqualityRot3, see Doxygen page for details
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								%   NonlinearEqualitySimpleCamera     - class NonlinearEqualitySimpleCamera, see Doxygen page for details
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								%   NonlinearEqualityStereoPoint2     - class NonlinearEqualityStereoPoint2, see Doxygen page for details
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								%   PriorFactorCal3_S2                - class PriorFactorCal3_S2, see Doxygen page for details
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								%   PriorFactorCalibratedCamera       - class PriorFactorCalibratedCamera, see Doxygen page for details
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								%   PriorFactorLieMatrix              - class PriorFactorLieMatrix, see Doxygen page for details
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								%   PriorFactorLieScalar              - class PriorFactorLieScalar, see Doxygen page for details
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								%   PriorFactorLieVector              - class PriorFactorLieVector, see Doxygen page for details
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								%   PriorFactorPoint2                 - class PriorFactorPoint2, see Doxygen page for details
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								%   PriorFactorPoint3                 - class PriorFactorPoint3, see Doxygen page for details
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								%   PriorFactorPose2                  - class PriorFactorPose2, see Doxygen page for details
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								%   PriorFactorPose3                  - class PriorFactorPose3, see Doxygen page for details
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								%   PriorFactorRot2                   - class PriorFactorRot2, see Doxygen page for details
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								%   PriorFactorRot3                   - class PriorFactorRot3, see Doxygen page for details
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								%   PriorFactorSimpleCamera           - class PriorFactorSimpleCamera, see Doxygen page for details
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								%   PriorFactorStereoPoint2           - class PriorFactorStereoPoint2, see Doxygen page for details
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								%   RangeFactorCalibratedCamera       - class RangeFactorCalibratedCamera, see Doxygen page for details
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								%   RangeFactorCalibratedCameraPoint  - class RangeFactorCalibratedCameraPoint, see Doxygen page for details
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								%   RangeFactorPose2                  - class RangeFactorPose2, see Doxygen page for details
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								%   RangeFactorPose3                  - class RangeFactorPose3, see Doxygen page for details
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											2019-01-01 00:19:46 +08:00
										 
									 
								 
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								%   RangeFactor2D                     - class RangeFactor2D, see Doxygen page for details
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								%   RangeFactor3D                     - class RangeFactor3D, see Doxygen page for details
							 | 
						
					
						
							
								
									
										
										
										
											2012-09-08 13:44:26 +08:00
										 
									 
								 
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								%   RangeFactorSimpleCamera           - class RangeFactorSimpleCamera, see Doxygen page for details
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								%   RangeFactorSimpleCameraPoint      - class RangeFactorSimpleCameraPoint, see Doxygen page for details
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								%   VisualISAMGenerateData            - VisualISAMGenerateData creates data for viusalSLAM::iSAM examples
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   VisualISAMInitialize              - VisualISAMInitialize initializes visualSLAM::iSAM object and noise parameters
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   VisualISAMPlot                    - VisualISAMPlot plots current state of ISAM2 object
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   VisualISAMStep                    - VisualISAMStep executes one update step of visualSLAM::iSAM object
							 | 
						
					
						
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							 | 
							
							
								%
							 | 
						
					
						
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								%% MATLAB-only Utilities
							 | 
						
					
						
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								%   CHECK                             - throw an error if an assertion fails
							 | 
						
					
						
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							 | 
							
							
								%   circlePose2                       - circlePose2 generates a set of poses in a circle. This function
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   circlePose3                       - circlePose3 generates a set of poses in a circle. This function
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   covarianceEllipse                 - covarianceEllipse plots a Gaussian as an uncertainty ellipse
							 | 
						
					
						
							| 
								
							 | 
							
								
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							 | 
							
							
								%   covarianceEllipse3D               - covarianceEllipse3D plots a Gaussian as an uncertainty ellipse
							 | 
						
					
						
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							 | 
							
							
								%   EQUALITY                          - test equality of two vectors/matrices up to tolerance
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   findExampleDataFile               - Find a dataset in the examples folder
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   load2D                            - load2D reads a TORO-style 2D pose graph
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   load3D                            - load3D reads a TORO-style 3D pose graph
							 | 
						
					
						
							| 
								
							 | 
							
								
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							 | 
							
							
								%   plot2DPoints                      - Plots the Point2's in a values, with optional covariances
							 | 
						
					
						
							| 
								
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							 | 
							
								
							 | 
							
							
								%   plot2DTrajectory                  - Plots the Pose2's in a values, with optional covariances
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   plot3DPoints                      - Plots the Point3's in a values, with optional covariances
							 | 
						
					
						
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							 | 
							
							
								%   plot3DTrajectory                  - plot3DTrajectory plots a 3D trajectory
							 | 
						
					
						
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								%   plotCamera                        - 
							 | 
						
					
						
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								%   plotPoint2                        - plotPoint2 shows a Point2, possibly with covariance matrix
							 | 
						
					
						
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							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   plotPoint3                        - Plot a Point3 with an optional covariance matrix
							 | 
						
					
						
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							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   plotPose2                         - plotPose2 shows a Pose2, possibly with covariance matrix
							 | 
						
					
						
							| 
								
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							 | 
							
								
							 | 
							
							
								%   plotPose3                         - plotPose3 shows a Pose, possibly with covariance matrix
							 | 
						
					
						
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							 | 
							
								
							 | 
							
							
								%   symbol                            - create a Symbol key
							 | 
						
					
						
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							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   symbolChr                         - get character from a symbol key
							 | 
						
					
						
							| 
								
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							 | 
							
								
							 | 
							
							
								%   symbolIndex                       - get index from a symbol key
							 | 
						
					
						
							
								
									
										
										
										
											2014-05-06 12:23:34 +08:00
										 
									 
								 
							 | 
							
								
									
										
									
								
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								%
							 | 
						
					
						
							| 
								
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							 | 
							
								
							 | 
							
							
								%% Wrapped C++ Convenience Functions for use within MATLAB
							 | 
						
					
						
							
								
									
										
										
										
											2014-05-25 23:17:49 +08:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								%   utilities.createKeyList           - Create KeyList from indices
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.createKeyVector         - Create KeyVector from indices
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.createKeySet            - Create KeySet from indices
							 | 
						
					
						
							
								
									
										
										
										
											2014-05-06 12:23:34 +08:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								%   utilities.extractPoint2           - Extract all Point2 values into a single matrix [x y]
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.extractPoint3           - Extract all Point3 values into a single matrix [x y z]
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.extractPose2            - Extract all Pose2 values into a single matrix [x y theta]
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.allPose3s               - Extract all Pose3 values
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.extractPose3            - Extract all Pose3 values into a single matrix [r11 r12 r13 r21 r22 r23 r31 r32 r33 x y z]
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.perturbPoint2           - Perturb all Point2 values using normally distributed noise
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.perturbPose2            - Perturb all Pose2 values using normally distributed noise
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.perturbPoint3           - Perturb all Point3 values using normally distributed noise
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.insertBackprojections   - Insert a number of initial point values by backprojecting
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.insertProjectionFactors - Insert multiple projection factors for a single pose key
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								%   utilities.reprojectionErrors      - Calculate the errors of all projection factors in a graph
							 | 
						
					
						
							
								
									
										
										
										
											2014-05-27 12:42:03 +08:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								%   utilities.localToWorld            - Convert from local to world coordinates
							 |