HermiteSegment3F Class

Defines a single segment of a 3-dimensional cubic Hermite spline (single-precision).

Inheritance Hierarchy

SystemObject
DigitalRune.Mathematics.InterpolationHermiteSegment3F

Namespace: DigitalRune.Mathematics.Interpolation
Assembly: DigitalRune.Mathematics (in DigitalRune.Mathematics.dll) Version: 1.14.0.0 (1.14.0.14427)

Syntax

C++

Copy

public class HermiteSegment3F : ICurve<float, Vector3F>, 
	IRecyclable

Public Class HermiteSegment3F
	Implements ICurve(Of Single, Vector3F), 
	IRecyclable

public ref class HermiteSegment3F : ICurve<float, Vector3F>, 
	IRecyclable

type HermiteSegment3F =  
    class
        interface ICurve<float32, Vector3F>
        interface IRecyclable
    end

The HermiteSegment3F type exposes the following members.

Constructors

	Name	Description
	HermiteSegment3F	Initializes a new instance of the HermiteSegment3F class

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Methods

	Name	Description
	Create	Creates an instance of the HermiteSegment3F class. (This method reuses a previously recycled instance or allocates a new instance if necessary.)
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	Flatten	Computes the points of a sequence of line segments which approximate the curve.
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetLength	Computes the approximated length of the curve for the parameter interval [start, end].
	GetPoint	Computes a point on the curve.
	GetTangent	Computes the tangent for a point on the curve.
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	Recycle	Recycles this instance.
	ToString	Returns a string that represents the current object. (Inherited from Object.)

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Properties

	Name	Description
	Point1	Gets or sets the start point.
	Point2	Gets or sets the end point.
	Tangent1	Gets or sets the tangent at Point1.
	Tangent2	Gets or sets the tangent at Point2.

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Remarks

A HermiteSegment3F can be used to smoothly interpolate between two points.

The curve runs through the points Point1 and Point2. The tangents at these points can be controlled with Tangent1 and Tangent2. The curve smoothly interpolates between Point1 and Point2.

Multiple splines can be patched together by matching the tangents at the control points.

The curve function point = C(parameter) takes a scalar parameter and returns a point on the curve (see GetPoint(Single)). The curve parameter lies in the interval [0,1]; it is also known as interpolation parameter, interpolation factor or weight of the target point. C(0) returns the start point Point1; C(1) returns the end point Point2.

The curve is defined as:

C(u) = (2u³ - 3u² + 1) p₁ + (u³ - 2u² + u) t₁ + (-2u³ + 3u²) p₂ + (u³ - u²) t₂,

where u is the interpolation parameter, p are the start/end points and t are the start/end tangents.

Reference

DigitalRune.Mathematics.Interpolation Namespace