cubic-hermite-spline
Cubic Hermite spline interpolation
Cubic Hermite spline interpolation of points / tangeants in any dimension with optional derivative computation. The interpolator can also take a knot-like vector as an optional parameter, which may be useful to enforce time at control points when used for position / velocity interpolation.
Install
$ npm install cubic-hermite-spline
Example
Basic usage
var hermite = require('cubic-hermite-spline');
var points = [
[-1, 0],
[ 0, 0],
[ 1, 0]
];
var tangents = [
[1, 1],
[0, 1],
[1, 1]
];
for(var t=0; t<1; t+=0.01) {
var point = hermite(t, points, tangents);
var tangent = hermite(t, points, tangents, null, true);
}
With a knot vector
var hermite = require('cubic-hermite-spline');
var points = [
[-1, 0],
[ 0, 0],
[ 1, 0]
];
var tangents = [
[1, 1],
[0, 1],
[1, 1]
];
var knots = [
0, 1.5, 2
];
for(var t=0; t<1; t+=0.01) {
var point = hermite(t, points, tangents);
var tangent = hermite(t, points, tangents, knots, true);
}
Usage
hermite(t, points, tangents[, knots, derivative, result])
Computes the interpolation at t
for the provided set of points and tangents, and optional knots.
t
position along the curve: in the [0, 1] range for regular use, and [0, last-knot-value] when using knotspoints
vectors to interpolatetangents
tangents at provided pointsknots
enforced values of t
at provided pointsderivative
if true return the tangeant at t
instead of the positionresult
preallocated array in which the result will be stored (avoid GC)
Returns the interpolated vector