Functions to calculate spline curves. More...

#include "Matrix.h"
#include "utilities.h"

Functions
Vector3< double >	vector3_catmull_rom_interpolate (Vector3< double > *pnt, double t)

Vector3< double > *	vector3_catmull_rom_spline (long ncoord, Vector3< double > *coords, long &nspline)
	Calculates a 2D/3D spline curve using the Catmull-Rom algorithm. More...

double	tps_base_func (double r)

vector< double >	thin_plate_splines (vector< Vector3< double > > points, double lambda)

double	tps_interpolate (Vector3< double > &loc, vector< Vector3< double > > points, vector< double > w)

Variables
int	verbose

Detailed Description

Functions to calculate spline curves.

Author: Bernard Heymann

Date: Created: 20020808; Modified: 20151023

Function Documentation

◆ thin_plate_splines()

vector< double > thin_plate_splines	(	vector< Vector3< double > >	points,
		double	lambda
	)

◆ tps_base_func()

double tps_base_func ( double r )

◆ tps_interpolate()

double tps_interpolate	(	Vector3< double > &	loc,
		vector< Vector3< double > >	points,
		vector< double >	w
	)

◆ vector3_catmull_rom_interpolate()

Vector3< double > vector3_catmull_rom_interpolate	(	Vector3< double > *	pnt,
		double	t
	)

◆ vector3_catmull_rom_spline()

Vector3< double > * vector3_catmull_rom_spline	(	long	ncoord,
		Vector3< double > *	coords,
		long &	nspline
	)

Calculates a 2D/3D spline curve using the Catmull-Rom algorithm.

Parameters

ncoord	number of coordinates.
*coords	node or point coordinates.
&nspline	pointer to number of values in spline curve.

Returns

Vector3<double>* spline curve.

A Catmull-Rom spline curve is defined for 4 points {p0,p1,p2,p3} by:
    spline = 0.5*(-t*(1-t)^2)*p0 + (2-5*t^2+3*t^3)*p1 +
             t*(1+4*t-3*t^2)*p2 - t^2*(1-t)*p3
where 0 <= t <= 1 is the fractional distance between points p1 and p2.
Each dimension is interpolated separately.
The end segments of the spline are defined as straight lines.

Variable Documentation

◆ verbose

int verbose

extern

Functions

Variables