Numerics

Collaboration diagram for Numerics:

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Detailed Description

Insight provides support for numerical operations at two levels. First, Insight uses an external library called VNL, which is one component of the VXL toolkit. This library provides linear algebra, optimization, and FFTs. Second, Insight provides numerical optimizers designed for the registration framework and statistical classes designed to be used for classification and segmentation.

Modules
	Optimizers
Classes
class	itk::AmoebaOptimizer
	Wrap of the vnl_amoeba algorithm. More...
class	itk::ConjugateGradientOptimizer
	Wrap of the vnl_conjugate_gradient. More...
class	itk::CostFunction
	Base class for cost functions intended to be used with Optimizers. More...
class	itk::CumulativeGaussianCostFunction
	Cost function for the Cumulative Gaussian Optimizer. More...
class	itk::CumulativeGaussianOptimizer
	This is an optimizer specific to estimating the parameters of Cumulative Gaussian sampled data. More...
class	itk::ExhaustiveOptimizer
	Optimizer that fully samples a grid on the parametric space. More...
class	itk::FRPROptimizer
	Implements Fletch-Reeves & Polak-Ribiere optimization using dBrent line search - adapted from Numerical Recipes in C (first edition). More...
class	itk::GradientDescentOptimizer
	Implement a gradient descent optimizer. More...
class	itk::KalmanLinearEstimator< T, VEstimatorDimension >
	Implement a linear recursive estimator. More...
class	itk::LBFGSBOptimizer
	Limited memory Broyden Fletcher Goldfarb Shannon minimization with simple bounds. More...
class	itk::LBFGSOptimizer
	Wrap of the vnl_lbfgs algorithm. More...
class	itk::LevenbergMarquardtOptimizer
	Wrap of the vnl_levenberg_marquardt algorithm. More...
class	itk::MultipleValuedCostFunction
	This class is a base for the CostFunctions returning a multiple values. More...
class	itk::MultipleValuedNonLinearOptimizer
	This class is a base for the Optimization methods that optimize a multiple valued function. More...
class	itk::MultipleValuedNonLinearVnlOptimizer
	This class is a base for the Optimization methods that optimize a multi-valued function. More...
class	itk::MultipleValuedVnlCostFunctionAdaptor
	This class is an Adaptor that allows to pass itk::MultipleValuedCostFunctions to vnl_optimizers expecting a vnl_cost_function. More...
class	itk::NonLinearOptimizer
	Wrap of the vnl_nonlinear_minimizer to be adapted. More...
class	itk::OnePlusOneEvolutionaryOptimizer
	1+1 evolutionary strategy optimizer More...
class	itk::Optimizer
	Generic representation for an optimization method. More...
class	itk::PowellOptimizer
	Implements Powell optimization using Brent line search - adapted from Numerical Recipes in C (first edition). More...
class	itk::QuaternionRigidTransformGradientDescentOptimizer
	Implement a gradient descent optimizer. More...
class	itk::RegularStepGradientDescentBaseOptimizer
	Implement a gradient descent optimizer. More...
class	itk::RegularStepGradientDescentOptimizer
	Implement a gradient descent optimizer. More...
class	itk::ShapePriorMAPCostFunction< TFeatureImage, TOutputPixel >
	Represents the maximum aprior (MAP) cost function used ShapePriorSegmentationLevelSetImageFilter to estimate the shape paramaeters. More...
class	itk::ShapePriorMAPCostFunctionBase< TFeatureImage, TOutputPixel >
	Represents the base class of maximum aprior (MAP) cost function used ShapePriorSegmentationLevelSetImageFilter to estimate the shape paramaeters. More...
class	itk::SingleValuedCostFunction
	This class is a base for the CostFunctions returning a single value. More...
class	itk::SingleValuedNonLinearOptimizer
	This class is a base for the Optimization methods that optimize a single valued function. More...
class	itk::SingleValuedNonLinearVnlOptimizer
	This class is a base for the Optimization methods that optimize a single valued function. More...
class	itk::SingleValuedVnlCostFunctionAdaptor
	This class is an Adaptor that allows to pass itk::SingleValuedCostFunctions to vnl_optimizers expecting a vnl_cost_function. More...
class	itk::SymmetricEigenSystem< TMatrixElement, VNumberOfRows >
	wrapper of the vnl_symmetric_eigensystem algorithm More...
class	itk::VersorRigid3DTransformOptimizer
	Implement a gradient descent optimizer for the VersorRigid3DTransform parameter space. More...
class	itk::VersorTransformOptimizer
	Implement a gradient descent optimizer. More...

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