#include <CubicHermiteSplineParametrization.hpp>

Public Member Functions
	CubicHermiteSplineParametrization (const std::map< int, Eigen::MatrixXd > &control_point, const std::map< int, Eigen::MatrixXd > &tangent, const std::map< int, std::vector< int > > &boundary_id_to_node_id, const Eigen::MatrixXd &V, const int sampling)

void	reparametrize (const std::map< int, Eigen::MatrixXd > &control_point, const std::map< int, Eigen::MatrixXd > &tangent, const Eigen::MatrixXd &V, Eigen::MatrixXd &newV) const

void	get_parameters (const Eigen::MatrixXd &V, std::map< int, Eigen::MatrixXd > &control_point, std::map< int, Eigen::MatrixXd > &tangent) const

void	derivative_wrt_params (const Eigen::VectorXd &grad_boundary, const int boundary_id, const int couple_tangents, Eigen::VectorXd &grad_control_point, Eigen::VectorXd &grad_tangent) const

Static Public Member Functions
static void	find_nearest_spline (const Eigen::MatrixXd &point, const Eigen::MatrixXd &control_point, const Eigen::MatrixXd &tangent, int &nearest, double &t_optimal, double &distance, double &distance_to_start, double &distance_to_end, const double tol=1e-4)

static void	gradient (const Eigen::MatrixXd &point, const Eigen::MatrixXd &control_point, const Eigen::MatrixXd &tangent, const int spline, const double t_parameter, const double distance, Eigen::MatrixXd &grad)

static void	eval (const Eigen::MatrixXd &control_point, const Eigen::MatrixXd &tangent, const double t, Eigen::MatrixXd &val)

static void	deriv (const Eigen::MatrixXd &control_point, const Eigen::MatrixXd &tangent, const double t, Eigen::MatrixXd &val)

static void	second_deriv (const Eigen::MatrixXd &control_point, const Eigen::MatrixXd &tangent, const double t, Eigen::MatrixXd &val)

Private Attributes
std::map< int, std::vector< int > >	boundary_id_to_node_id_

std::map< int, double >	node_id_to_t_

std::map< int, int >	node_id_to_spline_

int	dim = 2

std::map< int, int >	boundary_id_to_spline_count_

Detailed Description

Definition at line 13 of file CubicHermiteSplineParametrization.hpp.

Constructor & Destructor Documentation

◆ CubicHermiteSplineParametrization()

polyfem::CubicHermiteSplineParametrization::CubicHermiteSplineParametrization	(	const std::map< int, Eigen::MatrixXd > &	control_point,
		const std::map< int, Eigen::MatrixXd > &	tangent,
		const std::map< int, std::vector< int > > &	boundary_id_to_node_id,
		const Eigen::MatrixXd &	V,
		const int	sampling
	)

inline

Definition at line 16 of file CubicHermiteSplineParametrization.hpp.

References boundary_id_to_node_id_, boundary_id_to_spline_count_, dim, find_nearest_spline(), polyfem::logger(), node_id_to_spline_, node_id_to_t_, and V.

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Member Function Documentation

◆ deriv()

static void polyfem::CubicHermiteSplineParametrization::deriv	(	const Eigen::MatrixXd &	control_point,
		const Eigen::MatrixXd &	tangent,
		const double	t,
		Eigen::MatrixXd &	val
	)

inlinestatic

Definition at line 257 of file CubicHermiteSplineParametrization.hpp.

References val.

Referenced by find_nearest_spline().

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◆ derivative_wrt_params()

void polyfem::CubicHermiteSplineParametrization::derivative_wrt_params	(	const Eigen::VectorXd &	grad_boundary,
		const int	boundary_id,
		const int	couple_tangents,
		Eigen::VectorXd &	grad_control_point,
		Eigen::VectorXd &	grad_tangent
	)		const

inline

Definition at line 113 of file CubicHermiteSplineParametrization.hpp.

References boundary_id_to_node_id_, boundary_id_to_spline_count_, dim, node_id_to_spline_, and node_id_to_t_.

◆ eval()

static void polyfem::CubicHermiteSplineParametrization::eval	(	const Eigen::MatrixXd &	control_point,
		const Eigen::MatrixXd &	tangent,
		const double	t,
		Eigen::MatrixXd &	val
	)

inlinestatic

Definition at line 247 of file CubicHermiteSplineParametrization.hpp.

References val.

Referenced by find_nearest_spline(), gradient(), and reparametrize().

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◆ find_nearest_spline()

static void polyfem::CubicHermiteSplineParametrization::find_nearest_spline	(	const Eigen::MatrixXd &	point,
		const Eigen::MatrixXd &	control_point,
		const Eigen::MatrixXd &	tangent,
		int &	nearest,
		double &	t_optimal,
		double &	distance,
		double &	distance_to_start,
		double &	distance_to_end,
		const double	tol = `1e-4`
	)

inlinestatic

Definition at line 153 of file CubicHermiteSplineParametrization.hpp.

References deriv(), dim, eval(), second_deriv(), and val.

Referenced by CubicHermiteSplineParametrization().

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◆ get_parameters()

void polyfem::CubicHermiteSplineParametrization::get_parameters	(	const Eigen::MatrixXd &	V,
		std::map< int, Eigen::MatrixXd > &	control_point,
		std::map< int, Eigen::MatrixXd > &	tangent
	)		const

inline

Definition at line 73 of file CubicHermiteSplineParametrization.hpp.

References boundary_id_to_node_id_, boundary_id_to_spline_count_, dim, node_id_to_spline_, node_id_to_t_, V, x, and y.

◆ gradient()

static void polyfem::CubicHermiteSplineParametrization::gradient	(	const Eigen::MatrixXd &	point,
		const Eigen::MatrixXd &	control_point,
		const Eigen::MatrixXd &	tangent,
		const int	spline,
		const double	t_parameter,
		const double	distance,
		Eigen::MatrixXd &	grad
	)

inlinestatic

Definition at line 233 of file CubicHermiteSplineParametrization.hpp.

References dim, eval(), and val.

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◆ reparametrize()

void polyfem::CubicHermiteSplineParametrization::reparametrize	(	const std::map< int, Eigen::MatrixXd > &	control_point,
		const std::map< int, Eigen::MatrixXd > &	tangent,
		const Eigen::MatrixXd &	V,
		Eigen::MatrixXd &	newV
	)		const

inline

Definition at line 57 of file CubicHermiteSplineParametrization.hpp.

References boundary_id_to_node_id_, dim, eval(), node_id_to_spline_, node_id_to_t_, and V.

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◆ second_deriv()

static void polyfem::CubicHermiteSplineParametrization::second_deriv	(	const Eigen::MatrixXd &	control_point,
		const Eigen::MatrixXd &	tangent,
		const double	t,
		Eigen::MatrixXd &	val
	)