polyfem::solver::LinearFilter Class Reference

Maps to average of neighboring. More...

#include <Parametrizations.hpp>

Inheritance diagram for polyfem::solver::LinearFilter:

Collaboration diagram for polyfem::solver::LinearFilter:

Public Member Functions
	LinearFilter (const mesh::Mesh &mesh, const double radius)
int	size (const int x_size) const override
	Compute DOF of y given DOF of x.
int	inverse_size (int y_size) const override
	Compute DOF of x given DOF of y.
Eigen::VectorXd	eval (const Eigen::VectorXd &x) const override
	Eval y = f(x).
Eigen::VectorXd	inverse_eval (const Eigen::VectorXd &y) const override
	Eval x = f^-1 (y).
Eigen::VectorXd	apply_jacobian (const Eigen::VectorXd &grad, const Eigen::VectorXd &x) const override
	Apply jacobian for chain rule.
Public Member Functions inherited from polyfem::solver::Parametrization
virtual	~Parametrization ()=default

Private Attributes
Eigen::SparseMatrix< double >	tt_radius_adjacency
Eigen::VectorXd	tt_radius_adjacency_row_sum

Detailed Description

Maps to average of neighboring.

Definition at line 159 of file Parametrizations.hpp.

Constructor & Destructor Documentation

LinearFilter()

polyfem::solver::LinearFilter::LinearFilter	(	const mesh::Mesh &	mesh,
		const double	radius
	)

Definition at line 597 of file Parametrizations.cpp.

References polyfem::mesh::Mesh::bounding_box(), polyfem::mesh::Mesh::cell_barycenters(), polyfem::mesh::Mesh::face_barycenters(), polyfem::mesh::Mesh::is_volume(), tt_radius_adjacency, and tt_radius_adjacency_row_sum.

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Member Function Documentation

apply_jacobian()

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

overridevirtual

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.

Implements polyfem::solver::Parametrization.

Definition at line 661 of file Parametrizations.cpp.

References tt_radius_adjacency, tt_radius_adjacency_row_sum, and x.

eval()

Eigen::VectorXd polyfem::solver::LinearFilter::eval ( const Eigen::VectorXd &  x ) const

overridevirtual

Eval y = f(x).

Parameters

[in]

x

x.

Returns

y.

Implements polyfem::solver::Parametrization.

Definition at line 649 of file Parametrizations.cpp.

References tt_radius_adjacency, tt_radius_adjacency_row_sum, and x.

inverse_eval()

Eigen::VectorXd polyfem::solver::LinearFilter::inverse_eval ( const Eigen::VectorXd &  y ) const

overridevirtual

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.

Implements polyfem::solver::Parametrization.

Definition at line 655 of file Parametrizations.cpp.

References y.

inverse_size()

int polyfem::solver::LinearFilter::inverse_size ( int  y_size ) const

overridevirtual

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.

Implements polyfem::solver::Parametrization.

Definition at line 634 of file Parametrizations.cpp.

References polyfem::log_and_throw_adjoint_error(), and tt_radius_adjacency.

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size()

int polyfem::solver::LinearFilter::size ( const int  x_size ) const

overridevirtual

Compute DOF of y given DOF of x.

Parameters

[in]

x_size

The DOF of x.

Returns

DOF of y.

Implements polyfem::solver::Parametrization.

Definition at line 644 of file Parametrizations.cpp.

Member Data Documentation

tt_radius_adjacency

Eigen::SparseMatrix<double> polyfem::solver::LinearFilter::tt_radius_adjacency

private

Definition at line 171 of file Parametrizations.hpp.

Referenced by apply_jacobian(), eval(), inverse_size(), and LinearFilter().

tt_radius_adjacency_row_sum

Eigen::VectorXd polyfem::solver::LinearFilter::tt_radius_adjacency_row_sum

private

Definition at line 172 of file Parametrizations.hpp.

Referenced by apply_jacobian(), eval(), and LinearFilter().

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

• src/polyfem/optimization/parametrization/Parametrizations.hpp
• src/polyfem/optimization/parametrization/Parametrizations.cpp