SplineCurveInterpolation< Point_t > Class Template Reference

Cubic spline curve interpolation for arbitrary dimensions. More...

#include <easy3d/core/spline_curve_interpolation.h>

Public Types
enum	BoundaryType { first_deriv = 1 , second_deriv = 2 }
typedef Point_t::FT	FT

Public Member Functions
	SplineCurveInterpolation ()
void	set_boundary (BoundaryType left, FT left_value, BoundaryType right, FT right_value)
void	set_points (const std::vector< FT > &parameters, const std::vector< Point_t > &points, bool cubic_spline=true)
void	set_points (const std::vector< Point_t > &points, bool cubic_spline=true)
	This is an overload of the set_points() function. The parameters are the accumulated curve length. More...
Point_t	eval_f (FT u) const

Detailed Description

template<typename Point_t>
class easy3d::SplineCurveInterpolation< Point_t >

Cubic spline curve interpolation for arbitrary dimensions.

This is a wrapper of SplineInterpolation. It can be instantiated with any point type (1D, 2D, 3D etc.).

Template Parameters

Point_t

type of a point.

Real_t

floating point representation of the points (float, double etc.) Example usage: const int resolution = 1000; // Number of line subdivisions to display the spline SplineCurveInterpolation<vec3> interpolator; interpolator.set_boundary(...); interpolator.set_points(points); for (int i = 0; i < resolution; ++i) { const vec3 p = interpolator.eval_f(float(i) / float(resolution - 1)); std::cout << p << std::endl; }

Constructor & Destructor Documentation

SplineCurveInterpolation()

SplineCurveInterpolation ( )

inline

Constructor.

Sets default boundary conditions to be zero curvature at both ends.

Member Function Documentation

eval_f()

Point_t eval_f

(

FT

u

)

const

Evaluates the position of the spline curve at a given parameter.

Parameters

u	Curve parameter in the range [0, 1]. The actual meaning of the parameter is given by the parameters provided in set_points().

set_boundary()

void set_boundary	(	BoundaryType	left,
		FT	left_value,
		BoundaryType	right,
		FT	right_value
	)

Sets the boundary condition (optional).

Attention

If called, it has to come before set_points().

set_points() [1/2]

void set_points	(	const std::vector< FT > &	parameters,
		const std::vector< Point_t > &	points,
		bool	cubic_spline = true
	)

Sets the parameters and position of the point samples on the curve.

Parameters

parameters	The parameters (e.g., accumulated time or distance) of the points, each corresponding to a point in points.
points	The points. Each point corresponds to a parameter in parameters.
cubic_spline	true for cubic spline interpolation; false for linear interpolation.

Note

The parameters have to be monotonously increasing along the curve.

set_points() [2/2]

void set_points	(	const std::vector< Point_t > &	points,
		bool	cubic_spline = true
	)

This is an overload of the set_points() function. The parameters are the accumulated curve length.

Sets the position of the point samples on the curve.

Parameters

points	The data points. The parameter of each point is its accumulated curve length from the first point.
cubic_spline	true for cubic spline interpolation; false for linear interpolation.

Note

The points have to be ordered along the curve.

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

• /Users/lnan/Documents/Projects/Easy3D/easy3d/core/spline_curve_interpolation.h