CardinalSplines.h File Reference

collects the utilities to do Cardinal Splines interpolation. More...

#include <vector>
#include "SurgSim/DataStructures/Vertices.h"
#include "SurgSim/Math/Vector.h"

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Namespaces
	SurgSim
	Wraps glewInit() to separate the glew opengl definitions from the osg opengl definitions only imgui needs glew but we need to call glewInit() from a osg callback, using this call we avoid getting warnings about redefinitions.

Functions
void	SurgSim::Math::CardinalSplines::extendControlPoints (const SurgSim::DataStructures::VerticesPlain &points, std::vector< SurgSim::Math::Vector3d > *result)
	Function to add two 'ghost' points to 'points' at the beginning and the end, prepare 'points' for Cardinal Splines interpolation. More...
void	SurgSim::Math::CardinalSplines::interpolate (size_t subdivisions, const std::vector< Math::Vector3d > &controlPoints, std::vector< Math::Vector3d > *points, double tau=0.4)
	Run Cardinal Splines interpolation on 'controlPoints'. More...

Detailed Description

collects the utilities to do Cardinal Splines interpolation.

Function Documentation

extendControlPoints()

void SurgSim::Math::CardinalSplines::extendControlPoints	(	const SurgSim::DataStructures::VerticesPlain &	points,
		std::vector< SurgSim::Math::Vector3d > *	result
	)

Function to add two 'ghost' points to 'points' at the beginning and the end, prepare 'points' for Cardinal Splines interpolation.

Parameters

	points	List of points to be interpolated.
[out]	result	List of points with two ghost points added, one at the beginning and another at the end of 'points'.

interpolate()

void SurgSim::Math::CardinalSplines::interpolate	(	size_t	subdivisions,
		const std::vector< Math::Vector3d > &	controlPoints,
		std::vector< Math::Vector3d > *	points,
		double	tau = 0.4
	)

Run Cardinal Splines interpolation on 'controlPoints'.

See https://en.wikipedia.org/wiki/Centripetal_Catmull-Rom_spline https://en.wikipedia.org/wiki/Cubic_Hermite_spline https://people.cs.clemson.edu/~dhouse/courses/405/notes/splines.pdf https://www.cs.utexas.edu/~fussell/courses/cs384g/lectures/lecture16-Interpolating_curves.pdf for more details.

Parameters

	subdivisions	Number of interpolated points between each pair of control points.
	controlPoints	List of points to be interpolated.
[out]	points	List of interpolated points, not including the control points.
	tau	Defines the tension, affects how sharply the curve bends at the control points.