polyfem::solver::Parametrization Class Reference

A function f : x -> y. More...

#include <Parametrization.hpp>

Inheritance diagram for polyfem::solver::Parametrization:

Public Member Functions
virtual	~Parametrization ()=default
virtual int	inverse_size (int y_size) const =0
	Compute DOF of x given DOF of y.
virtual Eigen::VectorXd	inverse_eval (const Eigen::VectorXd &y) const =0
	Eval x = f^-1 (y).
virtual int	size (const int x_size) const =0
	Compute DOF of y given DOF of x.
virtual Eigen::VectorXd	eval (const Eigen::VectorXd &x) const =0
	Eval y = f(x).
virtual Eigen::VectorXd	apply_jacobian (const Eigen::VectorXd &grad_full, const Eigen::VectorXd &x) const =0
	Apply jacobian for chain rule.

Detailed Description

A function f : x -> y.

Definition at line 12 of file Parametrization.hpp.

Constructor & Destructor Documentation

~Parametrization()

virtual polyfem::solver::Parametrization::~Parametrization ( )

virtualdefault

Member Function Documentation

apply_jacobian()

virtual Eigen::VectorXd polyfem::solver::Parametrization::apply_jacobian ( const Eigen::VectorXd &  grad_full, const Eigen::VectorXd &  x  ) const

pure virtual

Apply jacobian for chain rule.

Let g(y) = g(f(x)). Given ∂g/∂y, compute ∂g/∂x = ∂g/∂y * ∂y/∂x.

Parameters

[in]	grad_full	∂g/∂y.
[in]	x	Where ∂g/∂x is evaluated.

Returns

∂g/∂x.

Implemented in polyfem::solver::ExponentialMap, polyfem::solver::Scaling, polyfem::solver::PowerMap, polyfem::solver::ENu2LambdaMu, polyfem::solver::PerBody2PerNode, polyfem::solver::PerBody2PerElem, polyfem::solver::SliceMap, polyfem::solver::InsertConstantMap, polyfem::solver::LinearFilter, polyfem::solver::ScalarVelocityParametrization, polyfem::solver::PeriodicMeshToMesh, polyfem::solver::CompositeParametrization, polyfem::solver::BSplineParametrization1DTo2D, and polyfem::solver::BoundedBiharmonicWeights2Dto3D.

eval()

virtual Eigen::VectorXd polyfem::solver::Parametrization::eval ( const Eigen::VectorXd &  x ) const

pure virtual

Eval y = f(x).

Parameters

[in]

x

x.

Returns

y.

Implemented in polyfem::solver::CompositeParametrization, polyfem::solver::ExponentialMap, polyfem::solver::Scaling, polyfem::solver::PowerMap, polyfem::solver::ENu2LambdaMu, polyfem::solver::PerBody2PerNode, polyfem::solver::PerBody2PerElem, polyfem::solver::SliceMap, polyfem::solver::InsertConstantMap, polyfem::solver::LinearFilter, polyfem::solver::ScalarVelocityParametrization, polyfem::solver::PeriodicMeshToMesh, polyfem::solver::BSplineParametrization1DTo2D, and polyfem::solver::BoundedBiharmonicWeights2Dto3D.

inverse_eval()

virtual Eigen::VectorXd polyfem::solver::Parametrization::inverse_eval ( const Eigen::VectorXd &  y ) const

pure virtual

Eval x = f^-1 (y).

This is not a strict inverse in mathematical sense, one may choose "reasonable" x even if f is not one-to-one.

Parameters

[in]

y

y.

Returns

x.

Exceptions

std::runtime_error

Throw if inverse not implemented or is impossible.

Implemented in polyfem::solver::CompositeParametrization, polyfem::solver::ExponentialMap, polyfem::solver::Scaling, polyfem::solver::PowerMap, polyfem::solver::ENu2LambdaMu, polyfem::solver::PerBody2PerNode, polyfem::solver::PerBody2PerElem, polyfem::solver::SliceMap, polyfem::solver::InsertConstantMap, polyfem::solver::LinearFilter, polyfem::solver::ScalarVelocityParametrization, polyfem::solver::PeriodicMeshToMesh, polyfem::solver::BSplineParametrization1DTo2D, and polyfem::solver::BoundedBiharmonicWeights2Dto3D.

inverse_size()

virtual int polyfem::solver::Parametrization::inverse_size ( int  y_size ) const

pure virtual

Compute DOF of x given DOF of y.

Parameters

[in]

y_size

DOF of y.

Returns

DOF of x.

Exceptions

std::runtime_error

Throw if inverse not impossible or y_size is invalid.

Implemented in polyfem::solver::CompositeParametrization, polyfem::solver::ExponentialMap, polyfem::solver::Scaling, polyfem::solver::PowerMap, polyfem::solver::ENu2LambdaMu, polyfem::solver::PerBody2PerNode, polyfem::solver::PerBody2PerElem, polyfem::solver::SliceMap, polyfem::solver::InsertConstantMap, polyfem::solver::LinearFilter, polyfem::solver::ScalarVelocityParametrization, polyfem::solver::PeriodicMeshToMesh, polyfem::solver::BSplineParametrization1DTo2D, and polyfem::solver::BoundedBiharmonicWeights2Dto3D.

size()

virtual int polyfem::solver::Parametrization::size ( const int  x_size ) const

pure virtual

Compute DOF of y given DOF of x.

Parameters

[in]

x_size

The DOF of x.

Returns

DOF of y.

Implemented in polyfem::solver::CompositeParametrization, polyfem::solver::ExponentialMap, polyfem::solver::Scaling, polyfem::solver::PowerMap, polyfem::solver::ENu2LambdaMu, polyfem::solver::PerBody2PerNode, polyfem::solver::PerBody2PerElem, polyfem::solver::SliceMap, polyfem::solver::InsertConstantMap, polyfem::solver::LinearFilter, polyfem::solver::ScalarVelocityParametrization, polyfem::solver::PeriodicMeshToMesh, polyfem::solver::BSplineParametrization1DTo2D, and polyfem::solver::BoundedBiharmonicWeights2Dto3D.

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

• src/polyfem/optimization/parametrization/Parametrization.hpp