HermiteSpline

A Hermite spline is a cubic interpolating spline. Points, incoming tangents, outgoing tangents, and times must be defined for each control point. The outgoing tangents are defined for points 0, n - 2 and the incoming tangents are defined for points 1, n - 1. For example, when interpolating a segment of the curve between points[i] and points[i + 1], the tangents at the points will be outTangents[i] and inTangents[i], respectively.

// Create a G<sup>1</sup> continuous Hermite spline
const times = [ 0.0, 1.5, 3.0, 4.5, 6.0 ];
const spline = new HermiteSpline({
    times : times,
    points : [
        new Cartesian3(1235398.0, -4810983.0, 4146266.0),
        new Cartesian3(1372574.0, -5345182.0, 4606657.0),
        new Cartesian3(-757983.0, -5542796.0, 4514323.0),
        new Cartesian3(-2821260.0, -5248423.0, 4021290.0),
        new Cartesian3(-2539788.0, -4724797.0, 3620093.0)
    ],
    outTangents : [
        new Cartesian3(1125196, -161816, 270551),
        new Cartesian3(-996690.5, -365906.5, 184028.5),
        new Cartesian3(-2096917, 48379.5, -292683.5),
        new Cartesian3(-890902.5, 408999.5, -447115)
    ],
    inTangents : [
        new Cartesian3(-1993381, -731813, 368057),
        new Cartesian3(-4193834, 96759, -585367),
        new Cartesian3(-1781805, 817999, -894230),
        new Cartesian3(1165345, 112641, 47281)
    ]
});

const p0 = spline.evaluate(times[0]);

See also

Constructors

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constructor(options: HermiteSpline.ConstructorOptions)

Types

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object Companion
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Properties

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val inTangents: <Error class: unknown class><Cartesian3>

An array of incoming tangents at each control point.

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val outTangents: <Error class: unknown class><Cartesian3>

An array of outgoing tangents at each control point.

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val points: <Error class: unknown class><Cartesian3>

An array of control points.

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val times: <Error class: unknown class><Double>

An array of times for the control points.

Functions

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fun clampTime(time: Double): Double

Clamps the given time to the period covered by the spline.

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fun evaluate(time: Double, result: Cartesian3? = definedExternally): Cartesian3

Evaluates the curve at a given time.

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Finds an index i in times such that the parameter time is in the interval [times[i], times[i + 1]].

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fun wrapTime(time: Double): Double

Wraps the given time to the period covered by the spline.