spline.h File Reference

Header file for spline interpolation. More...

#include "Vector3.h"

Functions
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...

Detailed Description

Header file for spline interpolation.

Author

Bernard Heymann

Date

Created: 20020808

Modified: 20151023

Function Documentation

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.